Functional Group Mnemonics R−R Alkane R=R Alkene R≡R Alkyne R O R Ether Bunny Alphabetically increases the number of bonds Or R groups on Ether side KEtone AldeHYDE Looks like a key Stealth H hides Ester planks for a strong COOR Like an amine, but near a Double bond Carboxylic Acid Turn a key in a car and OH! It starts. Anhydride Tears streaming from your eyes into your mouth (“and I cried”) enol Has a double bond like an alkene Has an OH like an alcohol Imine Like an amine, but with one extra I (“I” looks like a bond) AmiDe ACyl Chloride Like ACetic acid, but with a Cl Ketal/Acetal Al yells ROOR! Hemiketal/hemiacetal Halfway to a ketal/acetal (hemi=half) n to I i, + * n I I O Nitriles I I I t ¥ is s ← o II I n O O O O o O o O o O f ← O t O o I + E 0 I O 8 t E ← O ← O Esters O O o o O 0 % I o I o O O 0 I - o & I t t no I s ← O O Acids O 0 O O o 0 o E + s Io t E I 0 o ← O o O 0 O S O 1¥ I o chlorides O O a u Q § ex a § 0 O @ - § S S s D 8 I § § a I S f g , 8 0 D8 e s i, o a e 88 58 § : I n o It is . 0 I 0 ' • a + 0 F ← I OO I o I "' e F I I t II ← a - I s ← o . ¥ w a A = - i I g @ § D u I D O - w I N I + O ← I - I t I o ← O O w I I I I q E I ← s Amides carboxylic Anhydrides Acid ← side chains that are 10h12 able at Physiological pH I pka -8.3 - PKa -6 - pka -12.5 - Amino Acids W/ Non-polar Aliphatic Side Chains Glycine (G) Gly 1. (A) 2. Alanine 3. Valine (V ) 5. Isoleucine (1) Locate Isolated Prowlers IIe fly He * the more A. A. are hydrophobicity increases in Proline ( P ) Pro 7. Methionine Valiantly Alaska In Val ( L ) hell 4. Leucine 6. Glaciers Ala usually found within the (M) Met hydrophobic coreotafolded protein ( shielded from water ) H H simplest A- A E.gg CH } ggg@0nIyn0n-Ch1ralA.A ⊕ H3N ' . µ C00⊖ ⊕ H3N CH3 E. Bg methyl ⊕ COO H3N isoleucine Has achiral side chain group ( 1-13 -0 Alanine ring ☆ nH " \coo⊖ # H E.gg ,cH3 E. qqaea.tl Glycine H , CH } coo⊖ ⊕ H3N / R= - CHiCH3.CH } µ Hz Va not structure but considered aromatic proline cH3 S H CH } " ⊕ COO⊖ ⊕ H3N Leucine E.BG ( Hs E. AM R " 3N coo methionine : - CHZCHZSCH } tnesisaveryweak -0 H bond acceptor - I mostly in the core Amino Acids W/ Nonpolar Aromatic Side Chains phenylalanine (F) 1. 2. 3. tyrosine (4) The Aroma Of Fine Pine AND Yellow Timber tryptophan ( W ) worth thetryp phenylalanine leucine R :-( 1-1261-15 H3N , , along with Valine -0 phenylalanine * tyrosine and OH tryptophan have hydrophobic character aswell , butts tempered polar groups .q§Hz ④ " 3" * in their tyrosine canionlleatahlghptl -10.1 -0 * tyrosine tyrosine and tryptophan absorb Urat HN H E. qBH2 ④ H3N side chains - COO COO tryptophan -0 , and isoleucine .is one of the most hydrophobic amino acids .q§H2 COO hydrophobic are * ④ * very 280hm by the Amino Acids W/ Polar Side Chains H bonds with 1. Senne ( s ) Ser * they can form multiple ( T ) -1hr Asparagine ( N ) Asn 2. Threonine 3. (a) Gln 4. Glutamine 5. Cysteine (c) Cys molecules often found proteins ( hydrophilic ) * these 5 are on the Stllsaweaktl bond acceptor / - SH 1-10 H donor side chain can lonlzeatmod E. BY ④ COO 1-13" surfaces of H E. BY -0 ④ " 3" serine water high pHñ8.3 COO -0 cysteine HO cH3 " E. Chiral qq+ÉaH ④ H3N Threonine side chain coo * the oxidation -0 chains of two cysteine side yields a disulfide bond 0 H NHZ ÷•q• ④ COO H3N -0 Asparagine NHZ H E. ago ④ H3N 0 COO Glutamine -0 → coded for by DNA not . 1. ( Basic) side chains W/ Positively Charged Amino Acids Histidine ( H ) His * 2. Lysine ( K) 3. Arginine ( R ) Arg Lys strongly polar ! the basic a- a. found the exterior on are * * ionizable at I they are . * Histidine is the least basic • So of the 3 pH=6 pka-6lsreryclosetophys.IO/O9lcalPH,S0ltHH.N.---=.qq * Primarily ④ COO H3N exists as a neutral species -0 Histidine | |µµµgmn ⑤ NH3 " " " " de "" " " ¥900 At physiological pH -7 ④ µ ,, ' °O° " " " " " "" " thanpkaisothe Lysine aminestendtobe NHZ H ← / ④ ""2 H ÷•q• ④ COO , , "" -0 { entirely protonated ( + charged ) "" " " " "" " " = "" Negatively Charged ( Acidic ) Side Amino Acids W/ 1. Aspartic Acid (D) Asp 2. Glutamic Acid (E) Glu typically carry neg Charges at pH ? * negatively charged form predominates under physiological conditions * . * they the | chains are hydrophilic surface Ota andtendtobeon protein 0 OH pkofsldechain -3.9 - E. BY ④ COO µ ,µ the -0 o ¥qq ④ H3N COO Pkofsldecham Glutamic Acid -0 pills much 121-1--7 higher entirely negatively charged ( deprotonated) - 0 physiological ynanpka.yen.gg, aspartame " ! 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This greatly simplifies things as the acceleration in the v = v0 + at other coordinate direction will have a component of 0 and 1 2 the motion in that other direction will have constant x = x0 + v0 t + at 2 velocity. The components of motion in the x and y 1 directions are analyzed separately. x - x = (v + v )t 0 2 0 v = √2gh (free fall from rest) Vector components vx = vcosθ, v = √v2x + v2y vy = vsinθ, tanθ = vy vx For a vector of magnitude v making an angle θ with the x axis Forces and Torque Newton’s first law motion (Equilibrium) ƩF = 0 of At equilibrium, every body continues in its state of rest or of uniform speed as long as no net force and no net torque act on it. τclockwise = τcounterclockwise Newton’s second law of motion (Dynamics) F = ma The acceleration a of an object is directly proportional to the net force acting on it and is inversely proportional to its mass. The direction of the acceleration is in the direction of the net force action the object. Newton’s third law of motion Whenever one object exerts a force on a second object, the second exerts an equal and opposite force on the first. Force of static friction Opposes any impending relative motion between two surfaces, where the magnitude can assume any value up to a maximum of µs FN where µs is the coefficient of static friction and FN is the magnitude of the normal force. Ffr ≤ μs FN Force of kinetic friction Ffr = μk FN Force of gravity between any two objects FG = G m1 m2 r2 Force between two surfaces sliding against one another that opposes the relative motion of the two surfaces, where µk is the coefficient of kinetic friction. The force FG between two objects of masses m1 and m2 and separated by a distance r. The value of the universal gravitation constant is: G = 6.67 × 10-11 N ·m2/kg2 Inclined Planes θ is the angle between the inclined plane and the Fincline = mgsinθ Fnormal = mgcosθ horizontal surface Hooke’s Law The further a spring is stretched, the more force it pulls back with. F = -k∆x Torque τ = FL = Fr sinθ Centre of Mass (CM) m1 x1 + m2 x2 + … xcm = m1 + m2 + … Torque, which can be roughly thought of as a twisting force, is proportional to the force applied and the lever arm length. The centre of mass is a point that represents the average location for the total mass of the system. Work and Energy Work done by a constant Work W done by a constant force of magnitude F on an object as it is displaced by a distance d. The angle between force the directions of F and d is θ. Work is positive if the object W = Fdcosθ is displaced in the direction of the force and negative if it is displaced against the force. The work is zero if the displacement is perpendicular to the direction of the force. Kinetic energy K= Kinetic energy K for a mass m traveling at a speed v. 1 mv2 2 Gravitational potential energy U = mgh (local) U= - GMm (general) r Conservative forces • Gravitational force • Elastic spring force • Electric force Non-conservative forces • Frictional forces • Air resistance • Tension • Normal force • Propulsion of a motor Conservation of Mechanical Energy (Only holds true if nonconservative forces are ignored) E2 = E1 K2 + U2 = K1 + U1 Work-Energy Theorem Wnc = ∆K + ∆U + ∆Ei Potential energy U is the energy that an object of mass m has by virtue of its position relative to the surface of the earth. That position is measured by the height h of the object relative to an arbitrary zero level. A force is conservative if either: 1. The work done by the force on an object moving from one point to another depends only on the initial and final positions and is independent of the particular path taken. 2. The net work done by the force on an object moving around any closed path is zero The total mechanical energy of a system, remains constant as the object moves, provided that the net work done by external non-conservative forces (such as friction and air resistance) is zero. The work due to non-conservative forces Wnc is equal to the change in kinetic energy ∆K plus the change in gravitational potential energy ∆U plus any changes in internal energy due to friction. Rest Mass Energy E = mc2 Power P= W = Fv t The energy inherent to a particle by nature of it having a mass. Power P is defined as the rate at which work is done. It can also be expressed in terms of the force F being applied to the object traveling at a speed v. It is more correct to express this version of the relationship as P = Fvcosθ where θ is the angle between F and v. Fluid and Solids Density of a liquid at rest. Density can also be measured relative to water, which is termed specific gravity. A specific gravity > 1 means the liquid is denser than water. A specific gravity < 1 means the liquid is less dense than water. Density ρ= m V Pressure P= The hydrostatic pressure on a fluid volume is dependent on its depth and is equal in all directions. F A Hydrostatic pressure at a fixed depth P = ρgy Buoyant Force Fbuoyant = ρVg Continuity Equation Q = Av Bernoulli’s Equation P + ρgy + 1 2 ρv = constant 2 The pressure exerted by a static fluid depends only upon the depth of the fluid (y), the fluid density (ρ), and the gravitational acceleration (g). The buoyant force on an object in fluid is upward and equal to the weight of the fluid that the object displaces. The volume flow rate of a fluid is proportional to the crosssectional area of the pipe and the velocity of the fluid. Qin must be equal to Qout. One way to remember the Bernoulli equation is to think of it as an energy conservation equation. The three terms roughly correspond to pressure energy, potential energy, and kinetic energy, respectively. Electrostatics and Magnetism Coulomb’s law (electric force) F=k q1 q2 r2 Boltzmann’s constant has a value of: k = 9.0 × 109 N·m/C 2 The magnitude of the force F between two charges (Q1 and Q2) in terms of the distance r between the two charges. The direction of the force is directed along the line between the two forces. This force is repulsive if the two charges are both positive or both negative, and attractive if the one charge is positive and the other negative. Electric field due to a point E is a vector and points away from a positive charge and toward a negative charge. charge q at a distance r E=k Q r2 Electric potential energy U=k Q1 Q2 r Electric potential V=k Q r In constant electric fields F = qE V = Ed U = qEd U = Vq The potential energy stored between the interaction between two point charges. The electric potential V due to a point charge q at a distance r away from the charge. Note that the force F is in the same direction as the electric field E if the charge q is positive and in the opposite direction if the charge is negative. The energy gained by some charge in a field is simply force times the distance traveled. Potential is the energy per unit charge. Force on a charge moving When a moving charge q, with a velocity v, enters a in a magnetic field magnetic field B, at an angle θ, it experiences a force F. Note: The direction of the force can be found using the F = qv × B right-hand rules. |F | = |qvB sin θ| Electronic Circuits The potential difference V across a device is given by its resistance R and the current I that flows through it Ohm’s law V = IR Resistance of a wire R= ρ L A Electric power P = IV = I2 R = V2 R Resistances in series Req = R1 + R2 Resistances in parallel 1 Req = 1 R1 + Q V With help from Ohm’s law, electric power P can be calculated using any combination of two of the following quantities: resistance R, voltage V, or current I. For more than two resistances in series: Req = R1 + R2 + R3 + R4 + … For more than two resistances in parallel: 1 1 R2 Req Capacitance C= The resistance R of a length L of wire with a cross-sectional area A and resistivity ρ. Resistivity has units Ω⋅m. = 1 R1 + 1 R2 + 1 R3 + 1 R4 +… A higher capacitance capacitor can store more charge at the same voltage. Capacitors in series CS and For more than two capacitors: parallel CP 1 1 1 1 1 = + + + +… 1 1 1 CS C1 C2 C3 C4 = + CS C1 C2 CP = C1 + C2 + C3 + C4 + … CP = C1 + C2 Electric energy stored by a Amount of electric energy stored in a capacitor is given in capacitor terms of the capacitance C and the potential difference between the conductors V. 2 1 1 1Q 2 UE = CV = QV = 2 2 2 C Waves and Periodic Motion Wave Velocity v = fλ Wave Period T= 1 f Sound decibels β = 10 log I Io Standing Waves Both ends fixed or free L= nλn 2 (n = 1,2,3, …) The velocity of a wave is the product of its frequency and wavelength. The wave period is the time it takes to complete one cycle, measured in seconds. Frequency is the inverse of the period (f = 1/T) and is the number of cycles per second, measured in Hertz (Hz). A difference of 10 in decibels corresponds to sound intensity levels that differ by a factor of 10. For example, 90dB is 10 times as loud as 80dB. Threshold intensity I0 = -12 10 W/m2 When a standing wave is formed on a piece of string, the string length is some fractional multiple of the standing wave wavelength. Depending on how the string is fixed, each end can be a node or an anti-node. One end fixed, one end free L= nλn 4 (n = 1,3,5, …) Beat frequency fbeat = |f1 - f2 | Doppler effect v ± vo fO = fs ( ) v ∓ vs When two waves of constant amplitude but different frequencies interfere with each other, the resulting wave’s amplitude is confined to an envelope with some periodicity. The frequency of the envelope is the beat frequency and can be heard as distinct beats because of the amplitude variation with time. The apparent frequency of the source is increased as the source approaches the observer and is decreased as the sources leaves the observer. Light and Geometrical Optics Snell’s law n1 sinθ1 = n2 sinθ2 The angle of incidence θ1 is with respect to the perpendicular of the surface between the two media (with indices of refraction n1 and n2 ). The angle of refraction θ2 is also with respect to the perpendicular. Total internal reflection sinθc = n2 n1 Energy of one photon E = hf Index of refraction n= c v The lens equation 1 f = 1 o + 1 i The critical angle θc is the angle of incidence beyond which total internal reflection occurs. The index of refraction for the medium in which the incident ray is traveling is n1 The energy of light is dependent on its frequency. h is the Planck constant 6.626068 × 10-34 m2 kg/s The higher the index of refraction is for a medium, the slower is the speed of light in that medium. The focal length of the lens f is always positive on the MCAT • Positive for a converging lens, concave mirrors • Negative for a diverging lens, convex mirrors The object distance do is always positive on the MCAT The image distance di is: • Positive if it is on the opposite side of the lens from which the light is coming • Negative if on the same side Lateral magnification m= hi i =ho o Power of a lens P= 1 f For an upright image, the magnification m is positive and for an inverted image m is negative. To get the proper unit for lens power (P) in diopters, the focal length must be in metres in this equation. It’s an inverse relationship: a smaller focal length indicates higher power. consider acting on an it . object If remain at rest . It Is at rest If continue to move a constant that has speed It Is in a , no forces it will Moving , straight It will @ line . FORCE VECTORS tail F Esp of for the force rector the tension force in for the force of Ñ for is the a placed a on the object rope COMBINING FORCES spring force of gravity can object 's weight ) f- net WEIGHT The agent for the earth pulling → weight force is on an object the entire . SPRING FORCE Fsp pushing pulling = FT + + ¥3T . . . TENSION FORCE the direction of 7- force tension is NORMAL FORCE the force the surface exerted by a always in the same direction of the string or rope n→ surface (the agent ) against an object that is pressing against . *a surface exerts a force perpendicular to the surface * normal FRICTION F * friction * Unlike normal 1. Kinetic Friction " of friction ¥ opposes the motion 2. Static Friction Fs , " , force , is exerted frictional force perpendicular ! ) the is by surface always parallel a : acts as an object slides (points opposite is the , force is a contact force like the normal surface (not to the There are 2 Kinds . force force to the across a surface direction of the that keeps an object " stuck . It always object 's " on a motion ) surface points opposite the direction in which the object would move if there were no friction lit points in the direction necessary to prevent motion ) and prevents Its motion . . It DRAG I * like kinetic of motion friction , it points opposite the direction . THRUST → F thrust thrust is a contact direction expelled in force opposite the which the exhaust gas . IDENTIFYING FORCES * velocity is * the increasing block is * notice An object accelerating that the acceleration vectors are all the same pulled WI a constant force moves w/ a length constant acceleration is Acceleration Is Inversely proportional object 's to an mass PRACTICE when Is stretched to pull on with a constant force of 5. 0m15? What y y is : a 1.0kg block the acceleration , . pulled rubber band , the 3. 0m15 rubber band the block IS 3. 0m15 When a block unknown mass is INVERSELY Proportional Relationships a ¥ = 5. omlsz is of with the same acceleration is the unknown mass = = = ? 0.60kg / A ✗ inversely proportional to ✗ Original If ✗ IS hatred y doubles * if ✗ IS doubled Y IS halved * : 2m / S2 acceleration Rubber bands doubled doubles to 4m15 , : , Object Is twice the mass SO back to - - acceleration is 2m15 SUMMARY The acceleration proportional a 1s directly proportional to the mass m a . . Fm- to the * force F direct to of and inversely acceleration is the same as direction of the →a= ¥1m force Yz An object Will of undergo ¥ cm ) subjected to forces acceleration a→ mass an ¥ ¥3 , , , . . . → →a= Fnet → f- net m IS the vector sum the acceleration vector points same direction as right Newton 's second Law tells of acceleration is the same . us that the as IN = kg MI5 . I velocity stiff breeze is is constant to and I of →w right ¥ K9.tn/s2l1b=4.45NFnet any finite blowing direction AKA the Newton * Second Law applies to all Situations case of Zero net force , a m→a = Thet Result : acceleration down and to the The unit of Force IS object In what direction does the ball accelerate ? you find F-net by rector addition means jet in the you drop a basketball while the on the you can rewrite Newton's second Law to : ¥net PRACTICE * of all forces acting mass , Whether there is object must a net Tv force or not have zero acceleration , . In the which . FREE BODY DIAGRAMS - . PRACTICE An elevator suspended by , upward ! SO Fret must be ! * as well ! that means the (upward ) tension force 7- must be greater than the downward weight force w→ speeds up as it ground floor Draw a free from the body diagram of the elevator moves upward * acceleration IS directed upward a cable , . . - Interaction : mutual influence of both a¥§FnÉf¥v * " two objects on each other Action / Reaction Pair * / An object Dynamic Equilibrium An object at In = a at rest moving constant in a straight line speed 0 both cases and net PRACTICE Object Static Equilibrium acceleration exist as a pair or not at all ! Object Agent Agent they Example force is zero 5.1 Is orangutan weighing 500N hangs from a rerticle rope What the tension in the rope ! * the orangutan is at rest so It is in static equilibrium The net force on it must be zero An . , { Fy Ty Wy + : = may > %?! Ty -500 , = 0 tension in rope auaistneweignt :-O , of orangutan ! . Otfcemponent neither +f. * has an PRACTICE A wrecking ball Example 5.2 weighing 2500N hangs from back to a 20° pulled in the horizontal angle by cable ? yet T' • . ' . - w→= l " . IS not yet . Prior to swinging What . moving this , on the ball is zero Ti 0=200 - Wtan 1-1=2500 W -2500N - - cable horizontal cable , force acting known : pity COMP second b/c the ball * : the net equilibrium problem a a , it is is the tension Is a static ! (f) ✗ tan ( 2001=910 N Find : Ti ! 2500N T v y comp for T2 - T2COS( 20° ) -1251h ( 200 ) IS comp for -12 IS The weight rector points straight down ✗ - so SO IT Itsy - comp IS - -1205120° ) W=° - . IS . . also = -1251N PRACTICE , W ( 20° ) ] rewrite : -1205120° )=w example -0.4 Acar with amass rope held at opposes the →a=O SO , → Fnet : a of 1500kg is being towed at a steady speed by a 20° angle from the horizontal A-friction force of 320N - car 's motion What is the tension in the rope ? . It Is In dynamic ma→=O →n I , F equilibrium 120° 320N I t y 320N = = , COSQ C. 05200 340N MASS AND WEIGHT Intrinsic • property ooluantltytnat ☐ acceleration weight mass : describes the 9.8mHz of + Vector ogravitatlonal force exerted amount object matter man force by omeasuredinkg on an orator 's direction is down straight W converting m=g btw weight and mass ! An object that weighs / What is the weight pound CMN) __ 4.45N , object planet the omeasuredin Newtons and has amass andthemassllnkg ) of a of 4-q4g5m -0.454kg . 90 pound gymnast ? .gg/V---40ONMgymnast=9Olbx0-4ItK9-=4lkglP0Und-- Ngymnast : 90×4 4.45N IN 1 : 0.225 pound pound - - 0.454kg APPARENT WEIGHT Napp ' ' sensation of weight - - magnitude of contact supporting forces " The normal supporting { Fy=ny+wy=n-w=may a- Wtmay force is the contact the man Here , Napp : force Napp Wtmay - - acceleration is upward is greater , sone heavier than normal Anobjecttnathasnowapp Itis in freefall !ay=-g= IS . feels . WEIGHTLESS ! -9.8mHz PRACTICE Anjay 's 70kg mass is elevator that is to a stop , . He is moving standing 5.0 Mls . scale reads 750N the As the elevator slows . was the elevator going up or down ? elevator take to come to rest ? If Mapp * If Mapp is * A- mg Is ÷ , , , elevator Is so it Is t Before it stopped How long did the greater than actual weight acceleration is upward less than actual weight acceleration IS downward ( 70kg ) ( 9.8 Mls) = on a scale in an Now , 686N (Napp = - 750N ( greater ) slowing down opposite of going find - down acceleration Napp ay : : → ✓ Then use :(Vy)f :( Vyli 0=15.0) - 0.91Gt at - - = + 5.0 5.5s + ayot ( 0.91 ) at - acceleration) 750 -686N W = m = 70kg O.am/sz NORMAL FORCES Example with a A 1.2 5.9 force of * the book IS In kg book lies on 15N What . is the { Fy →n so force acting the net Nyt Nyt Fy = You press down force = n w from book on the book on the from above the table ? 0 = F- may - - = 0 - - = →w → F lfrom hand ) n= 5.10 friction is , . Weight force is w mg 12N ( 1.2kg ) ( 9- 8m15 ) • Example a table normal static equilibrium on the adjusts so that the object stays surface who penetrating it ! ! Ftw A skier slides down 27N = 15N a steep 27° Slope much smaller than the other + 12N forces = On . slope this steep a and can be ignored , What . is the skier 's acceleration ? Skier does not move ✗ { Fx Nx : 8 Fy b/c n→ points directly direction , ny=n and in the nx :O positive y : + - ay :O so € the y direction in n×= Max → W ✗ W ¢ = = Max mg Wytny May - - w.mg w→= W/ sin D- OF W/ ✗ component = - - - COS D= mg sin of Max mfg y component - - Fx E. Fy = - Sino : - : n + = may m ax g Sino - - ax - 9. 8m15 sin ax -4.4M / 52 - - mg cos = mg cos D- cancel out - (270 ) = 0 This model through , which ignores diffraction Which the light passes , is valid as larger are as any apertures than 1mm Sources 1. long Self - Of Light Rays luminous objects : directly light rays (lightbulbs , the 2. Reflective objects self In - luminous create sun ) reflect rays originating : objects ( paper , tree ) Ray Diagrams In order for our eye to see rays from that object Everyone in can see a an object , must enter the point source or an eye extended source . A point source emits rays every direction ! Most ordinary objects incident light ( paper , skin every direction in . . . , a grass ) reflect process called diffuse reflection single rays in are broken into all directions . - - a many weaker rays process called that leave scattering Specular Reflection 1 . The incident and reflected rays are in the page The reflective surface extends . into plane of the and out of the page 2. A single ray of light represents the parallel rays Oi is the Or is the angle of incidence angle of entire bundle of . eaual > they to each other % reflection are The Plane Mirror The horizontal ray strikes So it reflects back with Pls the point where the It is a virtual Image P . is the same distance The image distance s ' S ' is = . . the mirror at a zero zero angle of incidence angle of reflection reflected rays diverge no rays actually leaving P are behind the mirror as P is in front equal to the object distances S (plane mirror ) : . . The transmission of light from 0-1 one medium to another angle of incidence is the of refraction figure in , but with a figure b in , change but in direction is the angle C. Snell 's Law for Refraction b/w Two media R SIR 0-1 Nz SIR = , 0-2 1. When a ray is transmitted into material with a Index of refraction make a higher it bends to smaller angle with the normal ( closer 2. When a , a a ray to is material with normal ) transmitted a lower index it bends to make a larger glass ( n = 1.50) at angle that travels through air of incidence of 30° What . Mi Sin (1) (0-1) sin ( 30° ) 0.5 = . / ° = (0-2) ( Oz ) (0-2) Sin /9 (0-2) 1.5 Sin = 1. 5 sin = 0.33 Nz sin = of retraction angle with , the ( away from the normal ) normal Practice Problem : Light Into 0-2 is In = 1.00 ) is then the angle incident on a of refraction ? piece of . Reflection Total Internal When 10090 The ray is Of the light reflects from the boundary refract 1 unable to The beam with the largest angle of incidence undergoes TIR A critical angle ( Oc) -02 90° is reached when = Oc : sin " ( %-) Critical angle of Incidence for total internal reflection The refracted light vanishes at the critical angle and the reflection The critical angle blc of There our is well assumption that nun , Is no critical If NZ > we can compute glass at the D- c. glass - - What is the Oc water -0C light , becomes defined (n = angle and no TIR hi the Qc glass - in a air boundary Sin ( Yo ) for light " = typical piece of = " : 42° traveling from I -33 ) into air sin as ? (1%3)=48.80 100% for any angle 0-1 > D- c Practice Problems A thin layer of turpentine ( n 1. 472 ) IS = floating on water ( n - - 1.3337 . of wavelength 589mm initially traveling in air IS Incident on the turpentine at an angle of 24.8 ? What is the light 's refraction angle Light in the turpentine ? R SIR 0-1 M2 SIN = , N, Nz 1.472 = 0-2 Is ( 1.472 ) sin (24.8° 1.00 Cair ) = 0-2 0-1=24.8 ) 0-2=38 the light passes through the turpentine angle in R sin 0-1 nz SIR = , hi = -02=38.1 ° 0-2 ( 1.472) sin ( 38.1 ) I > 0-2 = so that = = Sin " ( %-) Nz has to be less than hi what is its refraction = 1.3335 In 0-2 ° ? all the turpentine and does D- c. , 0-2=42.9 1. 333 At what angle should the light be incident interface / ? Nz 1.472 . 0-2 ° ? = After the water I -00s In = not e> on the turpentine water - light totally internally reflects travel into the water ? gin . , ( 1.333 1. 472 )& 64.9 ° in the A lens uses converging hens : causes the rays to refract is a transparent object refraction of light rays curved surfaces to form an that at image toward the optical axis Refracts first glass All to focal point from If the parallel rays would focus Diverging the axis appear . hens : rays left side of , are initially parallel focal length (f) the lens is called the , they the lens causes the rays to refract away from It also has two focal points The rays all to . have started from the same point The focal points and focal lengths the particular lens itself of refraction Thin Lens is an the lens plane . , properties of focal length index . idealized lens whose thickness is entirely thin lens approx : all - . The curvature and determine its Zero and lies lens plane . are in a plane called the lens refraction and focal point approach from the right side on the glass boundary and air to then boundary incoming at the The distance of the air at occurs as the plane . rays cross and all distances are measured from the converge Three Important Sets Of Rays 1 . Ray is parallel to the optic goes through 2. Ray goes lens parallel to 3. far focal the through the near to a real . focal point , so It exits the the optic axis Ray goes through deflected Rays from point the lens ! so It before axis the center point P are of retracted the lens so it is not by the lens and converge point P image at . • - converge @ pi When rays diverge from P with Pi Contrast this with but through which Practice : An a no a virtual image which Is rays actually pass IS larger than the the focal length Which I. The image . ' a real image . . . the 1. The image 2. The image is left of is true less than the is virtual IS Upright at diverge , . a converging of the lens image is real object distance interact of P point where rays appear to a 2. The image is inverted NOW object and refracted rays converge lens such that the then we call P object is placed to on the focal length . . The formed ? object distance he> the edges curve toward the light source concave mirror 3 Important Rays I> the edges for converging away from curve mirror the light source convex mirror 3 Important Rays for Let's consider a case where the object 's distance s Diverging a from the mirror mirror is greater than the focal length IS > f) The incoming rays reflect off The image is real 01C P c- ' . Further Converging the , image image point P In steading The [ Diverging point image rays converge is plane at the image point inverted Lens The image is virtual this the mirror , - no actual rays converge at the ' . diverging rays appear to have come from . is upright and much smaller than the Object . we would like a mathematical expression that relates the three quantities of optical an and the image distance S system : the focal length f. the fundamental object distances Green and pink triangles are 5- + ¥ for conventions Image distance (5) and negative for Is Lenses and Mirrors focal length to positive for real images virtual images . : a the stamp The . What is the Strategize than the converging : distance or mirror , the obtect IS always positive ! than the Upright magnification focal length of a converging lens / object lens . , the lens must be object an focal length of is : object focal point and the a when an length of object a IS - s ' = / say ' -4s virtual and upright = -4 (2-0) = 8cm NOW find focal length . . . f- f- I. if = Placed inside the focal converging lens , the is 1-4 ( Upright) = m= converging lens , the image real and inverted image - s placed outside the IS . is closer to the lens - When a The image is virtual always positive concave mirror IS . since the image is larger M The 4 is the lens ? focal length of We know the single lens a stamp collector uses lens that sits 2.0cm above magnifying a relating object and image distances Practice For similar ¥ = Thin lens eauation sign , ' image is : + 0.375 ¥ z.to/--g--= ¥7s cm = 2.7cm - ' The focal length of A diverging tens or Practice : object the is an object found to diverging a convex mirror is be 12cm = + I > from to the the lens left of f- # ¥ + a diverging on the same lens ? = negative ! always produce upright and virtual images placed 20cm focal length of the f- f- ¥ lens or convex mirror is always Is -30cm lens The image . side as the object . of the What is Reading Notes Chapter 5- Extensions and Modifications of Basic Principles Types of Dominance Complete Dominance- type of dominance in which the same phenotype is expressed in homozygotes (AA) and in heterozygotes (Aa); only the dominant allele is expressed in a heterozygote Incomplete Dominance- type of dominance in which the phenotype of the heterozygote is intermediate between the phenotypes of the two homozygotes When a homozygous eggplant that produces purple (PP) is crossed with a homozygous that produces white (pp), all the heterozygous F1 (Pp) plants produce violet fruit. When the F1 are crossed with each other, they produce the following F2 14 purple (PP) 12 violet (Pp) 14 white (pp) This is a 1:2:1 ratio Codominance The phenotype of the heterozygote is not intermediate between the phenotypes of the homozygotes; rather, the heterozygote simultaneously expresses the phenotypes of both homozygotes Example: in the MN blood types of humans The MN blood-group locus encodes one of the types of antigens on the surface of red blood cells. Unlike foreign antigens of the ABO and Rh blood groups, foreign MN antigens do not elicit a strong immunological reaction; therefore, the MN blood types are not routinely considered in blood transfusions Two alleles at the MN locus: LM allele (M antigen) and the LN allele (N antigen) Homozygotes with genotype LMLM express the M antigen on the surface of their red blood cells and have the M blood type Homozygotes with genotype LNLN express the N antigen and have the N blood type Heterozygotes with genotype LMLN exhibit codominance and express both the M and N antigens; they have blood-type MN Level of Phenotype Observed May Affect Dominance Many phenotypes can be observed at several different levels: anatomical, physiological, and molecular The type of dominance exhibited by a characteristic depends on the level at which the phenotype is examined Cystic Fibrosis A common genetic disorder in Caucasians that is usually considered to be a recessive disease People who have CF produce large quantities of thick, sticky mucus, which plugs up the airways of the lungs and clogs the ducts leading from the pancreas to the intestine, causing frequent respiratory infections and digestive problems The gene responsible for CF resides on the long arm chromosome 7. It encodes a protein termed CF transmembrane conductance regulator (CFTR), which acts as a gated channel in the cell membrane and regulates the movement of chloride ions into and out of the cell People with CF have a mutated, dysfunctional form of CFTR that causes the channel to stay closed, so chloride ions build up in the cell. This buildup causes the formation of thick mucus Most people have two copies of the normal allele for CFTR and produce only functional CFTR protein. Those with CF possess two copies of the mutated CFTR allele and produce only the defective CFTR protein Heterozygotes, who have one normal and one defective, produce both functional and defective CFTR protein. Thus, at the molecular level, the alleles for normal and defective are codominant because both alleles are expressed However, because heterozygotes have one functional allele, it produces enough functional CFTR to have no adverse effects (the mutated CFTR allele is recessive in the physiological level) Penetrance and Expressivity Incomplete Penetrance- the genotype does not always produce the expected phenotype. A case in which some individuals possess the genotype for a trait but do not express the expected phenotype Human Polydactyly (the condition of having extra fingers or toes) The trait is usually caused by a dominant allele. Occasionally, people possess the allele for polydactyly, but nevertheless have a normal number of fingers and toes In these cases, the gene for polydactyly is not fully penetrant Penetrance is defined as the percentage of individual organisms having a particular genotype that express the expected phenotype • For example, if 42 people were examined and only 38 of them were polydactylous, the penetrance would be 90% Expressivity- the degree to which a trait is expressed Polydactyly exhibits variable expressivity. Some people possess extra fingers or toes that are fully functional, whereas others possess only a small tag of extra skin The mere presence of a gene does not guarantee its expression! Lethal Alleles Causes death at an early stage of development- often before birth- so that some genotypes do not appear among the progeny A recessive lethal allele kills individuals that are homozygous for the allele; a dominant lethal allele kills both heterozygotes and homozygotes Truly dominant lethal alleles cannot be transmitted unless they are expressed after the onset of reproduction Multiple Alleles For some loci, more than two alleles are present within a group of organisms. So, that locus has multiple alleles (or allelic series) No different from the inheritance of two alleles, except that a greater variety of genotypes and phenotypes are possible Plumage Patterns in Ducks o One allele, M, produces the wild-type mallard pattern o Another allele, MR, produces a restricted pattern o A third allele, md, produces a dusky pattern o In this series, MR > M > md (order of dominance) o The number of genotypes possible will be [n(n+1)/2], where n=the number of different alleles at a locus ABO Blood Group in Humans o This locus encodes antigens on the surface of red blood cells. The three common alleles for the ABO blood-group locus are IA, IB, and i (which encodes no antigen, so it is O) o In this series, IA > i, IB > i o The IA and IB alleles are dominant over i and are codominant with each other o The body produces antibodies against any foreign antigens. So, a person with bloodtype A produces anti-B antibodies because the B antigen is foreign to that person o A person with blood-type O possesses no A or B antigens; consequently, that person produces both anti-A antibodies and anti-B antibodies Compound Heterozygotes o In some people with CF, they have two identical defective alleles. Meaning that the person is homozygous o Other people with CF are heterozygous, possessing two different defective alleles o An individual who carries two different alleles at a locus that result in a recessive phenotype is referred to as a compound heterozygote Gene Interaction Interaction between genes at different loci that affect the same characteristic Gene Interaction with Epistasis Sometimes the effect of gene interaction is that one gene masks (hides) the effect of another gene at a different locus (a phenomenon known as epistasis) Epistasis is similar to dominance, expect that dominance entails the masking of genes at the same locus. In epistasis, the gene that does the masking is called epistatic gene; the gene whose effect is masked is a hypostatic gene. Epistatic genes may be recessive or dominant in their effects Hypostatic Gene- gene that is masked or suppressed by the action of a gene at a different locus Epistatic Gene- gene that masks or suppresses the effect of a gene at different locus Recessive Epistasis o Seen in the genes that determine coat color in Labrador retrievers o These dogs may be black, brown, or yellow; their different coat colors re determined by interactions between genes at two loci o One locus determines the type of pigment produced by skin cells, a dominant allele B encodes black, and recessive allele b encodes brown o The second locus determines the deposition of the pigment in the shaft of the hair; dominant allele E allows dark pigment (black or brown) and recessive allele e allows light pigment (yellow) o The presence of genotype ee at the second locus therefore masks the expression of the black and brown alleles at the first locus o A black Labrador that is homozygous for the dominant black allele (BB) with a yellow Labrador that is homozygous for the recessive alleles (bb ee) and then intercross the 1, we obtain progeny in the F2 in a 9:3:4 ratio o In this example, allele e is epistatic to B and b because e masks the expression of the alleles for black and brown pigments o Alleles B and b are hypostatic to e o In this case, e is a recessive epistatic allele because two copies of e must be present to mask the expression of the black and brown pigments Dominant Epistasis o Only a single copy of an allele is required to inhibit the expression of an allele at a different locus o Dominant epistasis is seen in the interaction of two loci that determine fruit color in summer squash: yellow, white, or green o When a homozygous plant that produces a white squash is crossed with a homozygous plant that produces a green squash and the F1 plants are crossed with each other, the outcome is a 3:1 ratio o Allele W inhibits pigment production and produces white squash. Allele W is epistatic to Y and y: it masks the expression of these pigment-producing genes Duplicate Recessive Epistasis o Two recessive alleles at either of two different loci are capable of suppressing a phenotype o Albinism, the absence of pigment, is a common genetic trait in many plants and animals o 9:7 ratio arises Complementation Complementation test- designed to determine whether two different mutations are at the same locus (are allelic) or at different loci (are nonallelic) Parents that are homozygous for different mutations are crossed, producing offspring that are heterozygous. If the mutations are allelic (at the same locus), then the heterozygous offspring have only mutant alleles and exhibit a mutant phenotype If, on the other hand, the mutations occur at different loci, each of the homozygous parents possesses wild-type genes at the other locus, so the heterozygous offspring inherit a mutant allele and a wild-type allele at each locus. They will exhibit a wild-type phenotype Complementation has taken place if an individual organism possessing two recessive mutations has a wild-type phenotype, indicating that the mutations are at nonallelic genes (at different loci) There is a lack of complementation when two recessive mutations occur at the same locus, producing a mutant phenotype Sex Influences the Inheritance and Expression of Genes Sex-influenced characteristics are determined by autosomal genes and are inherited according to Mendel’s principles, but they are expressed differently in males and females In this case, a particular trait is more readily expressed in one sex (the trait has higher penetrance in one of the sexes) Sex-limited characteristic is encoded by autosomal genes that are expressed in only one sex; the trait has zero penetrance in the other sex Example: male-limited precocious puberty. Results from an autosomal dominant allele (P) that is expressed only in males. Males with precocious puberty undergo puberty at an early age, usually before the age of 4. The penis enlarges, the voice deepens, and pubic hair develops Because this trait is rare, affected males are usually heterozygous (Pp). A sex-limited characteristic can be inherited from either parent, although the trait appears in only one sex Cytoplasmic Inheritance Not all genetic material of a cell is found in the nucleus. Some characteristics are encoded by genes located in the cytoplasm, and these characteristics exhibit cytoplasmic inheritance Because the cytoplasm is usually contributed entirely by one parent, most cytoplasmically inherited characteristics are inherited from only one parent (usually the mother) Cytoplasmically inherited characteristic frequently exhibit extensive phenotypic variation. Different cells and different individual offspring will contain various proportions of cytoplasmic genes Genetic Maternal Effect The phenotype of the offspring is determined by the genotype of the mother. In genetic maternal effect, the genes are inherited from both parents, but the offspring’s phenotype is determined by the genotype of the mother Genomic Imprinting Differential expression of a gene that depends on the sex of the parent that transmitted the gene (mom or dad) Males and females do contribute the same number of autosomal genes to their offspring, and paternal and maternal autosomal genes have long been assumed to have equal effects However, the expression of some autosomal genes is significantly affected by their parental origin Igf2, encodes a protein called insulin-like growth factor 2 o Offspring inherit one Igf2 allele from their mother and one from their father. The paternal copy is actively expressed in the fetus and placenta, but the maternal copy is completely silent o Both male and female offspring possess Igf2 genes, but the key to whether the gene is expressed is the sex of the parent transmitting it Prader-Willi Syndrome o Children with this syndrome have small hands and feet, short stature, poor sexual development, and intellectual disability o These children are small at birth and nurse poorly, but as toddlers they develop voracious appetites and frequently become obese o They are missing a small region on the long arm of chromosome 15. The deletion of this region is always inherited from the father Angelman Syndrome o Same region of chromosome 15 being deleted, but it is inherited from the mother o Children with this syndrome exhibit frequent laughter, uncontrollable muscle movement, a large mouth, and unusual seizers o They are missing a maternal copy of genes on the long arm of chromosome 15. For normal development to take place, copies of this region of chromosome 15 from both male and female parents are apparently required Epigenetics Phenomena due to alterations in DNA that do not include changes in the base sequence; often affect the way in which DNA sequences are expressed Genomic imprinting is just one form of epigenetics Epigenetic marks are types of reversible changes to DNA that influence the expression of traits. The inactivation of one of the X chromosomes in female mammals is another type of epigenetic change Anticipation A genetic trait becomes more strongly expressed, or is expressed at an earlier age, as it is passed from generation to generation Environmental Effects on the Expression of Genotype The phenotypic expression of some genotypes depends critically on the presence of a specific environment Example: temperature- sensitive allele (an allele whose product is functional only at certain temperatures) Phenylketonuria (PKU) is due to an autosomal recessive allele that causes intellectual disability. o The disorder arises from a defect in an enzyme that normally metabolizes the amino acid phenylalanine. When this enzyme is defective, phenylalanine is not metabolized, and its buildup causes neurological damage in children o A simple environmental change, putting an affected child on a low-phenylalanine diet, prevents the development on intellectual disability Phenocopy- phenotype produced by environmental effects that is the same as the phenotype produced by a genotype The Inheritance of Continuous Characteristics Discontinuous characteristics- only exhibits a few phenotypes that are easily distinguishable. For example, the seed shapes as round or wrinkled Human height is an example of a continuous characteristic o People do not come in just a few distinct heights, there are a wide range of heights o Described in quantitative terms (inches) Continuous characteristics are also called quantitative characteristics They frequently arise because genes at many loci interact to produce phenotypes. When a single locus with two alleles encodes a characteristic, there are three genotypes possible: AA, Aa, and aa. With two loci, each with two alleles, there are 9 genotypes possible When there’s so many different phenotypes possible, they become indistinguishable and the characteristic will appear to be continuous Characteristics encoded by genes at many loci are called polygenic characteristics Pleiotropy- the ability of a single gene to influence multiple phenotypes o For example, PKU Multifactorial characteristic- determined by multiple genes and environmental factors o For example, human height Somatic " Autonomic Autonomic Nervous System Remember that in the Voluntary " " Involuntary " ( ANS ) somatic nervous system . . . %fF.io#I-z.;..;.f*siiii::aEimusae you only have cell body one hueron acetylcholine in CNS The ANSIS divided into the sympathetic and You have 2 parasympathetic divisions neurons in series SYMPATHETIC acetylcholine NICOTINIC binds TO receptors Jgm§E☆§!;kgg☐☐☐☐☐o☐☐☐☐☐☐o☐☐☐☐☐§•• ganglion •••••• ↑ pregang cell body In CNS . postganglionic " "0nk • • n%%a↑Ñ aa%:¥&s "" ° " " §t#§T••••••••••••%••~? adrenal Adrenal ˢM°°ᵗ" ✓ norepinephrine receptor ◦ NEBMDSTO adrenergic "" " # Norepinephrine and epinephrine " ( x) Glands Ebmdsto adrenergic ""M"""ᵗ hzggjʰ##§•¥•••§""""ⁿ"" ☐o☐☐§•:;q y pathway a here is hormone! NICOTINIC receptors binds TO µ (p, ,Bz) ganglion • acetylcholine ☆• • receptors Firman cell body In muscle adrenergic #¥ medulla sympathetic • • " neuron a TARGETS Receptor " "" " muscle Effector Organ Pupil Of Eye Heart Sympathetic Response organs have dual Blood innervation by both vessels parasympathetic and sympathetic fibers Lungs Receptor ✗ Dilates Inc . of * most Adrenergic + rate and force 1 131 Parasympathetic Response Constricts decorate contraction constricted / ✗1 TBP Bronchioles Bz Bronchioles constrict dilate Digestive NICOTINIC receptors are Ionotropic : . motility d. B2 MC . motility tract ligand-gated Endocrine channels that open to allow Ion dec Pancreas -110W Inhibit Insulin ✗ Stimulates Insulin secretion secretion 4132 Release of Bladder urinary retention kidney Inc renin secretion 131 / fat breakdown Bs , Adrengencand Muscarinic receptors are metabotropic coupled to G- protein : Adipose . tissue sweat glands MC . sweating urine Salivation ◦ ◦ muscarinic agonists Inc salivation . Adrenergic agonists dec . salivation ; dry mouth GI Motility muscarinic ◦ • agonists Inc . Adrenergic agonists dec GI motility GI Motility Heart Rate ◦ • muscarinic agonists dec HR Adrenergic agonists ( 131 agonists) Inc . HR cardiac muscle • ◦ Adrenergic agonists ( 131 agonists) Muscarinic does not have direct Inc . effect contractility on cardiac muscle contractility Blood Vessel • Adrenergic agonists ( ✗ a- agonists) • Muscarinic - no direct cause vasoconstriction effect Lungs muscarinic ◦ • • cause broncho constriction Adrenergic agonists ( P2 agonists) Pupillary ◦ agonists cause broncho dilation size muscarinic agonists cause pupillary constriction Adrenergic agonists ( ✗ 1- agonists) cause pupillary dilation cells In Adipose Tissue • Adrenergic agonists ( Ps agonists) for energy production stimulate lipolysis to make substrates available Chemical Structures Of Hormones I. Biogenic 2. Peptide / Amine Hormones - hormones derived from tyrosine (dopamine catecholamines ) , Protein / glycoprotein Hormones ( Oxytocin , Insulin 3. Steroid Hormones - TARGET CELLS , - hormones composed sequence of amino acids FSH ) hormones derived from cholesterol (testosterone ) that express accessible are cells binds to . A cell may HORMONE RECEPTORS act as a can be located on the , functional receptors target for that the hormone several hormones . Au hormone receptors are proteins p intracellular receptors bind nonpolar hormones plasma membrane or inside target cells ↳ membrane / cell surface receptors bind Pituitary of a Hormones Posterior Pituitary ( 2 polar hormones The hypothalamus synthesis 9 hormones Which are delivered to the pituitary Hormones ) Anterior gland . Pituitary (7 Hormones) ,µµ ᵗ """ " " " Hypothalamus cell secretory neuro are " " Anterior pituitary posterior 1%1 > / Oxytocin ADH ↳ TSH , ACTH , FSH / LH GH PRL , Endorphins , , The Thyroid Gland Thyroid hormones : tetraiodotnyromne (1-4) trllodothyronlnec-13 ) stimulatory Factors that release thyroid hormones 1. TRH 2. TSH 3. Major Biological Actions of the Inhibitory Factors Thyroid Hormones 1. Inc basal metabolic rate . 2. Inc . (BMR ) 1. Inc contractility , . blood levels 2. Iodide excess Stroke volume and cardiac muscle Exposure to cold * of -14/-13 Wolff - Chaikoff Effect MCHR 3. hypertension 4. Stimulate erythropoietin CEPO) production Inc , Inc erythropoiesis . oxygen carrying capacity of blood 5. Stimulate motility 6. , - Promote normal regulating medulla the of GI tract pulmonary function by respiratory centers in the Oblongata 7. Promote normal function of the reproductive system Hyperthyroidism Hypothyroidism ◦ caused by or ◦ either Iodide deficiency excess cold Intolerance , Weight gain hypotension , due to bradycardia , chronic constipation ◦ Advanced hypothyroidism in IS known as ◦ in excessive ◦ Inc . , Inc body temp sweating appetite weight-loss OMCGI Core . accompanied by of bone density ) ( loss motility ( diarrhea ) leads to metabolic acidosis an autoimmune which Immune system creates antibodies that BMR . ◦ myxedema Hashimoto 's thyroiditis : disorder adults Inc ◦ damage your thyroid gland ◦ ◦ tachycardia hypertension , Goiter ( Graves disease) ' Calcium HOMEOSTASIS Thyroid gland releases parathyroid hormone ( PTH ) and Calcitonin Biological In the Actions kidneys reabsorption , Of PTH PTH stimulates calcium to Inc . blood calcium levels (hypercalcemia) Hyperparathyroidism caused by damaged parathyroid glands PTH gene mutation or Pseudo hyperparathyroidism leading to dysfunctional ( PTH Hyperparathyroidism Primary hyperparathyroidism : tumor of the > caused by > parathyroid glands secondary hyperparathyroidism renal failure clinical > > features of caused by hypercalcemia osteoporosis depressed nervous system activity > hypertension > polyana , vasoconstriction PTH receptors features of hypocalcemia neuromuscular hyper excitability positive Chvostek Sign cardiac arrhythmia ( prolonged QT interval I > : genetic disorder levels in blood are elevated ) clinical > : dec contractile volume force , dec stroke The Adrenal Gland consists inner of the outer adrenal cortex and adrenal medulla Adrenal cortex 1. Outer Zone Major Biological 1. Inc appetite Actions , to allow 5. Inc 6. glucose uptake , synthesizes the : MC blood glucose in the liver protein catabolism skeletal muscle in for enzyme synthesis Cardiac output . Stimulates sodium and water reabsorption (renal ) Hyper cortisol ISM Cushing = Syndrome Adrenal Insufficiency ( Al ) of 1. loss 2. hyponatremia appetite , weight loss 3. hypotension 4. - , fatigue due to absence of aldosterone - dec cardiac output . hypoglycemia Addison 's disease Adrenal Medulla Stimuli are for THR , : release hypoglycemia activation - of , hyper pigmentation Of the catecholamines of catecholamines stress , hemorrhage sympathetic ↑ cardiac output , nervous TBP vasoconstriction , dec GI motility , system 3 zones synthesizes cortisol : Cortisol gluconeogenesis 4. Stimulates Into weight gain 2. Inhibits cellular 3. Stimulates Of divided synthesizes aldosterone : 2. middle Zone 3. Inner Zone - Skin Tyrosine L ↓ dopa - ↓ Dopamine ↓ No epinephrine ↓ Epinephrine adrenal androgens INSULIN Pancreatic Hormones stimuli for Insulin Release Alpha cells secrete glucagon Beta cells secrete insulin ◦ Epsilon cells secrete Ghrelin ◦ hyperglycemia Vagal ( parasympathetic) stimulation via muscarinic receptors Dysfunction Of HYPO function 1 : . . - no Insulin more common lethargy , smell weight-loss nausea ◦ , in , 3. of Diabetes type 1 : of acetone in breath hyperventilation , , vomiting Other symptoms : blurred VISION Polyana , , glycosuria , hyperkalemia ( shortened QT interval cardiac muscle weakness , ↑ glycolysis , of on EKG) poor wound , healing Insulin uptake of glucose ↑ glycogenesis synthesis (more uptake of produced resistance ) main symptoms ◦ 2. 2 : insulin receptor desensitization ( insulin ACTIONS 1. Stimulates cellular destruction of B pancreatic cells Type Major 13101091cal leads -10 diabetes ( DM ) mellitus Type Insulin , ↑ protein amino ↓ gluconeogenesis ↓ / IPOIYSIS , acids) Equation Sheet Waves and Particles v f= λ E= hc = hf λ Momentum of Waves λ= h p h = mv Photoelectric Effect Ekelectron = Elight - Ework function Concentrations/Pressures nsolute C= b= Vsolution nsolute msolvent χA = nA ntotal molarity, M molality, m mole fraction, unitless PA = χA × Ptotal partial pressure Mass % = ppm = mA × 100 % mtotal mA 6 × 10 ppm mtotal Thermodynamics q = C ΔT = ncn ΔT = mcs ΔT (depending on units of the heat capacity, C) w = -P ΔV = -𝛥𝑛𝑔𝑎𝑠 RT ΔE = q + w ΔH = ΔE + P ΔV = ΔE + ΔnRT (for a constant external pressure) ΔH = qp (at constant pressure) ΔS = qT T (at constant temperature) ΔG = ΔH - TΔS ΔG° = -RTln(K) ΔG = ΔG° - RT ln(Q) nf ΔH°rxn = ΣΔH°f of products - ΣΔH°f of reactants ΔG°rxn = ΣΔG°f of products - ΣΔG°f of reactants ΔS°rxn = ΣS°f of products - ΣS°f of reactants Electrochemistry E°cell = E°ox + E°red Q = It ne- = It F Acids/Bases pH = −log[H3O+] p(anything) = -log[anything] pH + pOH = pKw = 14 (at room temp) pKa + pKb = pKw = 14 (at room temp) For buffers: pH = pKa + log [base] [acid] Assorted Constants (rounded for usefulness) K = °C + 273 23 molecules NA = 6 × 10 mole 1 atm = 100 kPa = 760 Torr = 760 mmHg 8 c = 3 × 10 m/s Kw = 1 × 10 -14