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MOST IMPORTANT DERIVATIONS + TheoryFollow the following steps -
• The derivation marked bold are of more importance.
• I have written important theory topics in italics
• Treat this as a check list of all derivations and important theory for your Physics board
examination.
• Refer to my notes. I have written the page number of every derivation in my notes. You can find
the link to my notes in the description box of the video.
Best of luck !
Unit 1 : Electrostatics
Pg No of
Notes of that
Particular
Chapter
All Derivations + Imp Theory Topics
- Coulomb’s law of Electrostatics ( Normal Derivation & Vector Derivation F21=-
3
F12)
- Superposition Principal in Electric Field Intensity
7
Note : Electric Lines of force and it’s properties is very important
8
- Electric field intensity of a dipole at tanA/ Equatorial position
10
- Electric field intensity of a dipole at tanB/ Axial position
11
- Electric field intenisty at any point due to an ideal dipole
12
- Force and torque acting on a dipole in an external uniform electric field
13
- Work done to rotate a dipole in external electric uniform field
14
- Gauss Theorem : It’s definition, verificaiton and application
17
- Electric field intensity due to a thin uniformly charged infinite plane sheet
19
- Electric field intensity due to a uniformly charged spherical shell
20
- Electric Potential at a point due to a point charge
22
- Prove electric field is conservative in nature
25
- Capacitance of a parallel plate capacitor
29
- Capacitance of a single and concentric sphere
30
- Energy stored in a capacitor
31
- Series and Parallel Combination of Capacitors
33
- Effect of dieletric medium on the capacitance of parallel plate capacitor
35
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Current Electricity
- Ohm’s Law and its derivations
1,4
- Drift velocity of free electrons & it’s relation with current I=neAvd
3
- Series and Parallel Combination of Resistances
6
- Kirchof’s Law and simple application (defintion & numerical)
i) Meter Bridge, Ammeter, Voltmeter
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- Learn formulas and Practice Numericals of the following -
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ii) Potentiometer - Principle and Working + Numericals
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Magnetic Effects of Current and Electricity
- Biot-savart’s law definition (imp) //theory
1
- Magnetic field intensity due to a straight current carrying conductor of finite length 6-7
- Magnetic field intensity due to a circular loop of current carrying conductor
8
- Magnetic field at any point on the axis of a circular loop and coil
9
9-11
- Ampere’s Circuit Law & it’s applications - i) Magnetic field due to an infinitely
long straight current carrying conductor. (ii) Magnetic field intensity at any point
inside a straight infinitely long solenoid. (iii) Toroid
- Lorentz Law and it’s properties (v.imp) // theory
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12
- Motion of a charged particle in a magnetic field when the velocity is perpendicular
to the magnetic field
13
- Motion of a charged particle in a magnetic field when the velocity is not
perpendicular to the magnetic field.
14
- Cyclotron : Principle + Construction + Working
15
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- Force on a Current Carrying conductor in a uniform magnetic field
A
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- Force on a Current Carrying Loop in a uniform magnetic field
17
- Torque acting on a current carrying loop/coil in a uniform magnetic field
18
- Moving Coil Galvanometer : Principle + Construction + Working
19
- Force b/w parallel current carrying conductors ( also practice numerical)
20
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Magnetism and Matter
- Magnetic field due to a magnetic dipole. i) at any point on the axis or at tanA
position. (ii) At any point on equatorial line/tanB. (iii) at any point due to a dipole
moment.
24
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- Force and torque acting on a dipole moment in an external uniform electric
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- Work done in rotating a magnetic dipole in a uniform magnetic D
field
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- Terrestrial magnetism ( theory + numerical )
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Properties of dia, para and ferro magnetic substances + Magnetic Saturation (imp
theory)
Electromagnetic Induction
- Faraday’s Experiment ( very imp). // thery
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- Motional EMF or induced EMF ( Derivations + Numericals)
- Self Inductance and Work done
- Mutual Inductance
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Alternating Current
- AC Generator : Diagram, Principle, Construction and working. Derive the expression
for the induced emf and current. // (imp theory)
- Transformer : Principle, Construction, working and theory of a transformer. How is
current affected in a transformer? What are the energy losses in a transformer? How
can they be reduced? //theory (v.imp)
- Mathematical treatment of LC-oscillations
- Conservation of energy in LC- oscillations
- Define power for an a.c circuit. Derive an expression for the average of a
series LCR-circuit connected to an a.c source. Discuss the various special
cases.
- Impedance, reactance and average power in series LCR, LR, LC or CR circuit.
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- Derive an expression for the impedance of a series LCR-circuit. Use Phasor
Diagram
- Resonance condition of a series LCR-circuit. Calculate its resonant frequency
- Sharpness of resonance in a series resonant circuit? Find expression for Q-factor
of circuit.
- AC Circuit containing a i) resistor. (ii) inductor. (iii) Capacitor //draw phasor
diagram + graph of E and I versus wt
- Average value of a.c over one complete cycle
- Relation between the rms value and the peak value of an alternating emf
- Relation between the effective and peak value of a.c (note:
effective=rms=virtual)
- Relation between average value and peak value of a.c
Electromagnetic Waves
- Derivation of displacement current
- Characteristics and Properties of EM Waves
- Electromagnetic Spectrum
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Ray Optics & Optical Instruments
- Reflection from Speherical Mirrors and find relation b/w f & R.
2
- Mirror formula using Concave and Convex Mirror
4-5
- Total Internal Reflection ( definition + applications & numerical ) (v.imp)
11
- Refraction through spherical surfaces (convex and concave)
15
- Lens Makers Formula (derivation & numerical)
17
- Refraction through a glass prism & minimum angle of deviation
21
- Scattering of light (Blue colour of sky, reddish appearance of the sun at sunrise and
sunset) // theory (imp)
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- Optical Instruments (Ray Diagram & Numerical) //(gauranteed qs)
Wave Optics
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- Expression for the intensity at any point on the observation screen in Young’s
double slit experiment. Hence write the conditions for constructive and
destructive interference.
- Expression for fringe width in Young’s double slit experiment. How can the
wavelength of monochromatic light be found by this experiment?
- Diffraction using single slit (derivation + numerical)
- Deduce expression for (i)angular width of central maximum (ii) linear width of
central maximum (iii) linear width of a secondary maximum
- Polarisation (derivation + numerical)
Dual Nature of Radiation and Matter
- Derivation of de-broglie relation
- Relation between threshold frequency, frequency of the incident photon and
cutoff potential
- Dual nature of radiation
- Photoelectric effect
- Hertz and Lenard’s Observation
- Einstein’s photoelectric equation-particle nature of light
Aman Dhattarwal
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Note : In the following chapters the number of derivations are less but they have a
significant theory portion. These chapters are easier , simpler and scoring chapters.
Atoms
- It is small, easy and scoring chapter. Refer to the notes uploaded on my channel.
- Do the whole chapter.
- Expression of radius in hydrogen like atoms
- Bohr model, energy levels, hydrogen spectrum (also do numericals)
- Alpha-particle scattering experiment
Nuclie
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- N=N’e-lamda t. m
A OR State and deduce Radioactive decay law
- Relation between mean life and decay constant
- Relation between half cycle and decay constant
- Decay rate or activity of a radioactive sample.
- Mass defect (definition and numerical)
- Nuclear fission and nuclear fusion (definition & numerical) (imp)
- Binding energy per nucleon and its variation with mass number (Definition and
Numerical Problems)
Electronic Devices
- Common emitter transistor amplifier
- Common base transistor amlifier
- Energy bands in conductor,semiconductors and insulators
- Semiconductor diode: I-V chacteristics in forward and reverse bias
- Diode as rectifier
Communication Systems
- Frequency modulation and amplitude modulation.
- Elements of a communication system
- Propagation of electromagnetic waves in the atmosphere, sky & space wave
propagation, satellite communication
- Types of Modulation and Modulation Index
Aman Dhattarwal