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NAME: FORM: Level 3 NCEA Physics 13PHX 2015 Student Information Science Department Onslow College 2015 Timeline – NCEA Level 3 Physics (13PHX) Term 1 eV / Waveparticle duality / H energy levels Binding E / Mass deficit / Fundamental forces / 3.5 TEST 3 4 7 9-13 6 16-20 8 (Summ Tourn Wk) 23-27 Universal gravitation / Satellites / Vert circles Conical pendulum / banked corners etc θ, ω, α / Rot kinematics / Torque / Rot inertia 9 30-Apr 3 Easter Bohr model / Rydberg formula / P.E. effect 5 Mar 2-6 Angular momentum 4 23-27 AS 3.5 3 16-20 2D momentum / impulse / C.O.M. 2 9-13 Waitangi H spectrum st Snr 1 day Wed 1 Feb 2-6 Term 2 3.1 Graphical Analysis 7 June 1-5 25-29 Damped & forced SHM / resonance / Energy / MECH TEST 2 D.C. / I / V / Ohm / Kirchoff SeriesParallel / Multiloop/ Resistance 8 8-12 9 15-19 Uncertainty calculations 10 22-26 Comparison / Discussion 3.1 formative Internal resistance / Capacitance / networks Term 3 3 Aug 3-7 4 5 10-14 Magnetic fields / flux / Lenz’s law / Induction / Farday’s law Transformer / mutual inductance / Inductors 2 3 17-21 Selfinductance / ‘flux’ & ‘disflux’ / τ / Energy 6 24-28 AC / rms / RC circ. / phasor / VC,VR,VS Xc & Z / RL circ. / phasor / XL & Z 5 6 7 (Wint Tourn Wk) 31-Sept 4 LCR circ. / resonance ELEC TEST Cap charge & discharge / τ / Energy 2 27-31 TOD 1 20-24 8 9 14-18 21-25 Waves / transv & long. / reflections / superposition Standing waves / harmonics / strings / open & closed pipes Diffraction / interference / formulae Term 4 9-13 NZQA EXAMS BEGIN 16-20 TOD 11/12 last day Wed 13 last day Revision 4 Nov 2-6 26-30 Revision Doppler effect / redshift / beats WAVES TEST 19-23 LD 1 Oct 12-16 7 23-27 10 7-11 8 30-Dec 4 9 7-11 11 29-July 3 3.1 prep AS 3.1 Hooke’s law / mass on spring / pendulum 18-22 6 QB 11-15 5 TOD Rot Ek / Rolling objects / MECH TEST 1 4-8 SHM properties / y,v,a formulae phase / phasor diagram 20-24 2 27-May 1 ANZAC 1 3 Useful Constants G = 6.67 × 10-11 Nm2kg-2 (universal gravitational constant) g = -9.81 ms-2 (gravitational acceleration at Earth’s surface) c = 3.00 × 108 ms-1 (speed of light in a vacuum) εo = 8.84 × 10-12 Fm-1 (permittivity of free space) μo = 1.26 × 10-6 TmA-1 (permeability of free space) e = -1.6 × 10-19 C (charge of an electron) me = 9.11 × 10-31 kg (mass of an electron) mp = 1.6726 × 10-27 kg (mass of a proton) mn = 1.6748 × 10-27 kg (mass of a neutron) 1 a.m.u. = 1.66 × 10-27 kg (atomic mass unit) k = 2 × 10-7 NA-2 (magnetic constant) k = 9 × 109 Nm2C-2 (electric constant) h = 6.63 × 10-34 Js (Planck’s constant) R = 1.097 × 107 m-1 (Rydberg’s constant) rE ≈ 6370 km (approximate radius of the Earth) mE = 5.98 × 1024 kg (mass of the Earth) ms = 2 × 1030 kg (mass of the Sun) A.U. ≈ 150 million km (astronomical unit = average Earth – Sun distance) Numerical Prefixes c centi - × 10-2 d deca - × 101 m milli - × 10-3 h hecto - × 102 micro - × 10-6 k kilo - × 103 n nano - × 10-9 M mega - × 106 p pico - × 10-12 G giga - × 109 f femto -× 10-15 T terra - × 1012 a atto - × 10-18 4 NCEA Level 3 Physics Formula Sheet 5 6 13 Physics Symbols Symbol a A A B C d d E E f f’ F I I k L/l L L L m M n n N Q/q r R S t T v V vs vw x X y Z α ε θ λ τ τ φ φ ω Quantity acceleration amplitude area magnetic field strength capacitance distance / displacement slit separation energy electric field strength frequency apparent frequency force current rotational inertia spring constant length angular momentum self inductance line number mass mutual inductance order of maxima / minima shell number number of turns charge radius resistance series number time period velocity voltage source velocity wave velocity distance to nth maxima reactance displacement impedance angular acceleration EMF angular displacement wavelength torque time constant flux work function angular velocity SI Unit -2 ms m 2 m T F m m J / eV -1 -1 NC /Vm Hz Hz N A 2 kgm -1 Nm m 2 -1 kgm s H kg H C m Ω s s -1 ms V -1 ms -1 ms m Ω m Ω -2 rads V rad m Nm s Wb J / eV -1 rads 7 Answering ‘Explanation’ Questions Identify the key Physics idea/s Step 1 What key physics idea/s is being assessed by this question? What are the key words in the question? Read the question carefully at least twice. Read the title of the question. eg Equilibrium State the facts Step 2 Write down facts about the physics idea/s. Are there any relevant diagrams, graphs, formulae, etc? eg Motion stays the same – constant speed, direction & rotation. Total force is 0, Fup = Fdown. Total torque is 0, τcw = τacw. τ = Fd. Link the facts to the question ANSWER THE QUESTION! Step 3 eg Is the question asking for a definition of equilibrium, an explanation of the conditions necessary for equilibrium, a description of the concepts needed to calculate a value, or something else? Be specific. Use examples, diagrams and/or bullet points where appropriate. This is not an English exam. More words doesn’t necessarily imply a better answer. Communicate the Physics clearly. Review the question Step 4 Read the question AGAIN. What is it asking? Have you answered it? Are the links clear? Context of question Effect caused Key Concept 8 Onslow College NCEA Level 3 PHYSICS Level 3 Physics is a full year course that contributes Level 3 credits for NCEA. The work done throughout the year is assessed in two ways: Internal assessment (I) - practical work, report writing, and tests that are carried out during the year. External assessment (E) - exam at the end of the year. Achievement Standards The assessments will be made up from five achievement standards each worth between 3 and 6 credits for a total of 23 credits. The achievement standards are described in the table below. Standard Version Achievement Standard Title Credits Internal External UE LIT Read UE LIT Write 91521 (3.1) 1 Carry out a practical investigation to test a physics theory relating two variables in a nonlinear relationship 4 Internal x x 91523 (3.3) 1 Demonstrate understanding of wave systems 4 External x x 91524 (3.4) 1 Demonstrate understanding of mechanical systems 6 External x x 91525 (3.5) 1 Demonstrate understanding of Modern Physics 3 Internal x x 91526 (3.6) 1 Demonstrate understanding of electrical systems 6 External x x Total number of credits: 23 The result of each assessment will be one of four grades: Not Achieved (N), Achieved (A), Merit (M), Excellence (E). Assessment Formative tests will be carried out occasionally, usually once or twice a term. There will be one summative assessment opportunity for the external standards in November. There will be practice assessment opportunities for these external standards in class and during school exams. We offer two level 3 Physics internal achievement standards. Physics 3.1 “Carry out a practical investigation to test a physics theory relating two variables in a non-linear relationship” will be assessed by a practical experiment and written report during (approximately) Week 9 of Term 2. There will NOT be a reassessment opportunity for this standard, but there will be opportunity for students to resubmit their work if a small error is preventing them from getting a higher grade. Physics 3.5 “Demonstrate understanding of Modern Physics” will be assessed by an in-class written test during (approximately) Week 5 of Term 1. There will be a reassessment opportunity for this standard outside of school time. If you are sick or legitimately absent for either assessment, you will need to discuss this with your teacher as soon as possible. See pages 14 -17 of your Onslow College NCEA Information Booklet. 9 13 Physics Topic 1 Modern Physics 4 weeks approx Standard Content Examples of phenomena, concepts, or principles of Modern Physics include: the Bohr model of the hydrogen atom: the photon; the quantisation of energy; discrete atomic energy levels; electron transition between energy levels; ionisation; atomic line spectra, the electron volt the photoelectric effect wave-particle duality qualitative description of the effects of the strong interaction and Coulombic repulsion, binding energy and mass deficit; conservation of mass-energy for nuclear reactions qualitative treatment of special and general relativity qualitative treatment of quarks and leptons. Achievement Standard 91525 version 1 Physics AS3.5 Credits: 3 Internal Demonstrate understanding of Modern Physics Assessment Formative assessment: Test 1, Term 1 Summative assessment: In class test, Week 5, Term 1 10 13 Physics Topic 2 Mechanics 7 weeks approx Standard Content Translational Motion Centre of mass (1 and 2 dimensions); conservation of momentum and impulse (2 dimensions only). Circular Motion and Gravity Velocity and acceleration of, and resultant force on, objects moving in a circle under the influence of 2 or more forces, Newton’s Law of gravitation, satellite motion. Rotating Systems Rotational motion with constant angular acceleration; torque; rotational inertia; conservation of angular momentum; conservation of energy. Relationships d r t f i t a r 2f EK ( ROT ) 12 2 i f t 2 L mvr Achievement Standard 91524 version 1 (part) Physics AS3.4 Credits: 6 v r External Demonstrate understanding of mechanical systems t f i 2 i t 12 t 2 L Fg 2 2 GMm r2 Assessment Formative assessment: Test 2, Term 1 School exams, Week 8, Term 3 Summative assessment: NZQA exams, November 11 13 Physics Topic 3 Simple Harmonic Motion 3 weeks approx Standard Content Oscillating Systems The conditions for Simple Harmonic Motion, angular frequency, variation of displacement, velocity and acceleration with time, phasor diagrams, reference circles, damped and driven systems, resonance, conservation of energy. Relationships l g T 2 m k 2f T 2 y A sint v A cos t a A2 sint y A cos t v A sint a A2 cos t Achievement Standard 91524 version 1 (part) Physics AS3.4 Credits: 6 External Demonstrate understanding of mechanical systems a 2 y Assessment Formative assessment: Test 3, Term 2 School exams, Week 8, Term 3 Summative assessment: NZQA exams, November 12 13 Physics Topic 4 DC Electricity & Capacitors 4 weeks approx Standard Content Resistors in DC Circuits Internal resistance; simple application of Kirchhoff’s Laws. Capacitors in DC Circuits Parallel plate capacitor; capacitance; dielectrics; series and parallel capacitors; charge/time, voltage/time and current/time graphs for a capacitor; time constant; energy stored in a capacitor. Relationships: E 12 QV Q CV 1 1 1 CT C1 C2 C o r A d V Z Achievement Standard 91526 version 1 (part) Physics AS3.6 Credits: 6 CT C1 C2 External Demonstrate understanding of electrical systems Assessment Formative assessment: Test 4, Term 2 School exams, Week 8, Term 3 Summative assessment: NZQA exams, November RC 13 13 Physics Topic 5 Practical Investigation 3 weeks approx Standard Content Carry out a practical investigation involves: collecting data relevant to the aim based on the manipulation of the independent variable over a reasonable range and number of values determining appropriate uncertainties in raw data using graphical analysis, including a consideration of uncertainties, from which the equation of the relationship/value of the physics quantity can be determined providing a conclusion that states the equation of the relationship/value of the physics quantity as determined from the graph and includes a comparison with the physics theory. Carry out an in-depth practical investigation involves: describing the control of other variable(s) that could significantly affect the results using techniques to improve the accuracy of measurements determining uncertainties in one of the variables expressed in the graphical analysis graphical analysis which expresses the uncertainty in the relationship consistent with the uncertainty in the data providing a conclusion that makes a quantitative comparison between the physics theory and the relationship/quantity obtained from the experimental data which includes consideration of uncertainties. Carry out a comprehensive practical investigation involves a discussion which addresses issues critical to the practical investigation, such as: the other variable(s) that could have changed and significantly affected the results, and how they could have changed the results the limitations to the theory’s applicability both in the practical situation and/or at extreme values of the independent variable any unexpected outcomes of the processing of the results and a suggestion of how they could have been caused and the effect they had on the validity of the conclusion. A practical investigation is an activity that includes gathering, processing and interpreting data. The variables under investigation should have a non-linear relationship according to a physics theory provided in the task. Achievement Standard 91521 version 1 Physics AS3.1 Credits: 4 Internal Carry out a practical investigation to test a physics theory relating two variables in a nonlinear relationship Assessment Formative assessment: In class, Term 2 Summative assessment: Extended assessment period, Week 10, Term 2 14 13 Physics Topic 6 Electromagnetism & Inductors 3 weeks approx Standard Content Inductors in DC Circuits Magnetic flux; magnetic flux density; Faraday’s Law; Lenz’s Law; the inductor; voltage/time and current/time graphs for an inductor; time constant; self inductance; energy stored in an inductor; the transformer. Relationships: BA Np Ns Vp Vs L E t 1 2 L 2 Achievement Standard 91526 version 1 (part) Physics AS3.6 Credits: 6 External Demonstrate understanding of electrical systems L R t V Z Assessment Formative assessment: School exams, Week 8, Term 3 Summative assessment: NZQA exams, November 15 13 Physics Topic 7 A.C. Electricity 3 weeks approx Standard Content AC Circuits The comparison of the energy dissipation in a resistor carrying direct current and alternating current; peak and rms voltage and current; voltage and current and their phase relationship in LR and CR series circuits; phasor diagrams; reactance and impedance and their frequency dependence in a series circuit; resonance in LCR circuits. Relationships: MAX sin t V VMAX sint 1 C VMAX 2 Vrms XC V Z = 2f Achievement Standard 91526 version 1 (part) Physics AS3.6 Credits: 6 External Demonstrate understanding of electrical systems MAX 2 rms X L L Assessment Formative assessment: School exams, Week 8, Term 3 Summative assessment: NZQA exams, November 16 13 Physics Topic 8 Waves 5 weeks approx. Standard Content Interference (quantitative) of electromagnetic and sound waves, including multi-slit interference and diffraction gratings; standing waves in strings and pipes; harmonics; resonance; beats; Doppler Effect (stationary observer for mechanical waves). Relationships: d sinθ nλ nλ dx L Achievement Standard 91523 version 1 Physics AS3.3 Credits: 4 External Demonstrate understanding of wave systems ff vw vw vs Assessment Formative assessment: Test 5, Term 4 Summative assessment: NZQA exams, November 17 Achievement Standard 91521 Subject Reference Physics 3.1 Title Carry out a practical investigation to test a physics theory relating two variables in a non-linear relationship Level 3 Credits 4 Assessment Internal This achievement standard involves carrying out a practical investigation to test a physics theory relating two variables in a non-linear relationship. Achievement Criteria Achievement Achievement with Merit Achievement with Excellence Carry out a practical investigation to test a physics theory relating two variables in a nonlinear relationship. Carry out an in-depth practical investigation to test a physics theory relating two variables in a non-linear relationship. Carry out a comprehensive practical investigation to test a physics theory relating two variables in a non-linear relationship. Explanatory Notes 1 Carry out a practical investigation involves: collecting data relevant to the aim based on the manipulation of the independent variable over a reasonable range and number of values determining appropriate uncertainties in raw data using graphical analysis, including a consideration of uncertainties, from which the equation of the relationship/value of the physics quantity can be determined providing a conclusion that states the equation of the relationship/value of the physics quantity as determined from the graph and includes a comparison with the physics theory. Carry out an in-depth practical investigation involves: describing the control of other variable(s) that could significantly affect the results using techniques to improve the accuracy of measurements determining uncertainties in one of the variables expressed in the graphical analysis graphical analysis which expresses the uncertainty in the relationship consistent with the uncertainty in the data providing a conclusion that makes a quantitative comparison between the physics theory and the relationship/quantity obtained from the experimental data which includes consideration of uncertainties. Carry out a comprehensive practical investigation involves a discussion which addresses issues critical to the practical investigation, such as: the other variable(s) that could have changed and significantly affected the results, and how they could have changed the results 18 the limitations to the theory’s applicability both in the practical situation and/or at extreme values of the independent variable any unexpected outcomes of the processing of the results and a suggestion of how they could have been caused and the effect they had on the validity of the conclusion. 2 A practical investigation is an activity that includes gathering, processing and interpreting data. 3 The variables under investigation should have a non-linear relationship according to a physics theory provided in the task. 4 Conditions of Assessment related to this achievement standard can be found at www.tki.org.nz/e/community/ncea/conditions-assessment.php. 19 Achievement Standard 91523 Subject Reference Physics 3.3 Title Demonstrate understanding of wave systems Level 3 Credits 4 Assessment External This achievement standard involves demonstrating understanding of wave systems. Achievement Criteria Achievement Achievement with Merit Achievement with Excellence Demonstrate understanding of wave systems. Demonstrate in-depth understanding of wave systems. Demonstrate comprehensive understanding of wave systems. Explanatory Notes 1 This achievement standard is derived from The New Zealand Curriculum, Learning Media, Ministry of Education, 2007, Level 8. The standard is aligned to Physical inquiry and physics concepts in the Physical World strand and Communicating in science in the Nature of Science strand, and is related to the material in the Teaching and Learning Guide for Physics, Ministry of Education, 2010 at http://seniorsecondary.tki.org.nz. 2 Demonstrate understanding involves showing an awareness of how simple facets of phenomena, concepts, or principles relate to a given situation. Demonstrate in-depth understanding involves giving explanations for phenomena, concepts, or principles that relate to a given situation. Demonstrate comprehensive understanding involves connecting concepts or principles that relate to a given situation. 3 Wave systems include mathematical solutions and/or written descriptions. Written descriptions may include graphs or diagrams. 4 Assessment is limited to a selection from the following: Interference (quantitative) of electromagnetic and sound waves, including multi-slit interference and diffraction gratings; standing waves in strings and pipes; harmonics; resonance; beats; Doppler Effect (stationary observer for mechanical waves). Relationships: d sinθ nλ nλ dx L ff vw vw vs 20 Achievement Standard 91524 Subject Reference Physics 3.4 Title Demonstrate understanding of mechanical systems Level 3 Credits 6 Assessment External This achievement standard involves demonstrating understanding of mechanical systems. Achievement Criteria Achievement Achievement with Merit Achievement with Excellence Demonstrate understanding of mechanical systems. Demonstrate in-depth understanding of mechanical systems. Demonstrate comprehensive understanding of mechanical systems. Explanatory Notes 1 Demonstrate understanding involves showing an awareness of how simple facets of phenomena, concepts, or principles relate to a given situation. Demonstrate in-depth understanding involves giving explanations for phenomena, concepts, or principles that relate to a given situation. Demonstrate comprehensive understanding involves connecting concepts or principles that relate to a given situation. 2 Mechanical systems include mathematical solutions and/or written descriptions. Written descriptions may include graphs or diagrams. 3 Assessment is limited to a selection from the following: Translational Motion Centre of mass (1 and 2 dimensions); conservation of momentum and impulse (2 dimensions only). Circular Motion and Gravity Velocity and acceleration of, and resultant force on, objects moving in a circle under the influence of 2 or more forces, Newton’s Law of gravitation, satellite motion. Rotating Systems Rotational motion with constant angular acceleration; torque; rotational inertia; conservation of angular momentum; conservation of energy. 21 Oscillating Systems The conditions for Simple Harmonic Motion, angular frequency, variation of displacement, velocity and acceleration with time, phasor diagrams, reference circles, damped and driven systems, resonance, conservation of energy. Relationships d r t f i t T 2 l g v r a r 2f EK ( ROT ) 12 2 i f t 2 L mvr T 2 t f i 2 i t 12 t 2 L Fg a 2 y 2 2 GMm r2 m k y A sint v A cos t a A2 sint y A cos t v A sint a A2 cos t 22 Achievement Standard 91525 Subject Reference Physics 3.5 Title Demonstrate understanding of Modern Physics Level 3 Credits 3 Assessment Internal This achievement standard involves demonstrating understanding of Modern Physics. Achievement Criteria Achievement Achievement with Merit Achievement with Excellence Demonstrate understanding of Modern Physics. Demonstrate in-depth understanding of Modern Physics. Demonstrate comprehensive understanding of Modern Physics. Explanatory Notes 1 Demonstrate understanding involves showing an awareness of how simple facets of phenomena, concepts, or principles relate to a given situation. Demonstrate in-depth understanding involves giving explanations for phenomena, concepts, or principles that relate to a given situation. Demonstrate comprehensive understanding involves demonstrating understanding of connections between concepts or principles that relate to a given situation. 2 Examples of phenomena, concepts, or principles of Modern Physics include: the Bohr model of the hydrogen atom: the photon; the quantisation of energy; discrete atomic energy levels; electron transition between energy levels; ionisation; atomic line spectra, the electron volt the photoelectric effect wave-particle duality qualitative description of the effects of the strong interaction and Coulombic repulsion, binding energy and mass deficit; conservation of mass-energy for nuclear reactions qualitative treatment of special and general relativity qualitative treatment of quarks and leptons. 3 Conditions of Assessment related to this achievement standard can be found at www.tki.org.nz/e/community/ncea/conditions-assessment.php. 23 Achievement Standard 91526 Subject Reference Physics 3.6 Title Demonstrate understanding of electrical systems Level 3 Credits 6 Assessment External This achievement standard involves demonstrating understanding of electrical systems. Achievement Criteria Achievement Achievement with Merit Achievement with Excellence Demonstrate understanding of electrical systems. Demonstrate in-depth understanding of electrical systems. Demonstrate comprehensive understanding of electrical systems. Explanatory Notes 1 Demonstrate understanding involves showing an awareness of how simple facets of phenomena, concepts, or principles relate to a given situation. Demonstrate in-depth understanding involves giving explanations for phenomena, concepts, or principles that relate to a given situation. Demonstrate comprehensive understanding involves connecting concepts or principles that relate to a given situation. 2 Electrical systems include mathematical solutions and/or written descriptions. Written descriptions may include graphs or diagrams. 3 Assessment is limited to a selection from the following: Resistors in DC Circuits Internal resistance; simple application of Kirchhoff’s Laws. Capacitors in DC Circuits Parallel plate capacitor; capacitance; dielectrics; series and parallel capacitors; charge/time, voltage/time and current/time graphs for a capacitor; time constant; energy stored in a capacitor. Inductors in DC Circuits Magnetic flux; magnetic flux density; Faraday’s Law; Lenz’s Law; the inductor; voltage/time and current/time graphs for an inductor; time constant; self inductance; energy stored in an inductor; the transformer. 24 AC Circuits The comparison of the energy dissipation in a resistor carrying direct current and alternating current; peak and rms voltage and current; voltage and current and their phase relationship in LR and CR series circuits; phasor diagrams; reactance and impedance and their frequency dependence in a series circuit; resonance in LCR circuits. Relationships: E 12 QV 1 1 1 CT C1 C2 Q CV C BA Np Ns 4 o r A d Vp Vs MAX sin t V VMAX sint VMAX 2 Vrms XC X L L V Z CT C1 C2 L E t 1 2 L 2 RC t L R MAX 2 rms 1 C = 2f Assessment Specifications for this achievement standard can be accessed through the Physics Resources page found at http://www.nzqa.govt.nz/qualificationsstandards/qualifications/ncea/subjects/.