Specification of Summative Assessment on the subject of «Physics» For grade 12 (advanced level) 2022-2023 1. Aim of the Internal Summative Assessment (ISA) Summative assessment (SA) is aimed to assess learners’ success in terms of the learning objectives achievement and reveal their level of knowledge and skills acquired during the term. Summative assessment checks the achievement of learning objectives for the term planned in the course plan. 2. The document defining the content of the ISA AEO «Nazarbayev Intellectual Schools» Educational Programme – NIS-Programme Course Plan «Physics » Grade 12 (Advanced level) 3. Expected outcomes on the subject «Physics», Grade 12 A learner Students will be: - analyze the physical phenomenon; - analyze the response received; - consistently perform the stages of solving the problem; - choose a rational way to solve the problem; - allocate time for all tasks; - solve combined tasks; - Develop a sufficient level of literacy reading the conditions of the task. 4. Level of thinking skills Level of thinking skills Knowledge and understanding Application Higher order thinking skills Description Knowledge: - concepts, formulas, laws and physical constant magnitudes of the section’s mechanics (kinematics, dynamics, conservation laws); - units of measurement physical quantities; - physical phenomena; Understanding: - the physical meaning of quantities, basic terms and laws of mechanics, astronomy; - the significance physical phenomena; Application: - basic physical concepts and terms for describing processes and phenomena; - laws and formulas of physics in solving problems, performing practical and laboratory work; - graphical methods of presenting results; - acquired knowledge to explain the conditions for the occurrence of physical phenomena and processes; Analysis: -Distinguished between facts and inferences; Type of question Questions with multiple choice answers. (MCH) Questions that require short answer. (ShA) Questions that require short answer. (ShA) Questions that require an extended answer. (EA) Questions that require short Demonstrate the ability to gather information and/or results and interpret them by breaking the material or concepts into parts, determining how the parts relate to one another relevant to the grade and subject as described in the Subject Programme. Synthesis: - Demonstrate the ability to reconstruct different parts of prior knowledge into a new context relevant to the grade and subject as described in the Subject Programme. Evaluation: - Form judgements about the value of ideas or materials against defined criteria as described in the Subject Programme. answer. (ShA) Questions that require an extended answer. (EA) 5. DISTRIBUTION OF LEARNING OBJECTIVES BY LEVELS OF THINKING SKILLS IN THE SECTION OF TERMS I Knowledge and understanding 25 % 62 % Higher order thinking skills 13 % II 22 % 67 % 11 % III 22 % 72 % 6% Total 23 % 67 % 10 % Term Application 6. Administration rules During the Assessment cover all visual materials like, diagram, schemes, posters and maps that can serve as prompts for the learners. At the beginning of the Assessment read out the instructions and inform the learners about the assessment duration. Remind learners that they are not allowed to talk with each other during the Summative Assessment. After the instructions, make sure they have understood given instructions and ask if they have any questions before the start of the assessment. Ensure that the learners are working individually and not helping each other. During the Summative Assessment learners should not have any access to additional recourses that can help them, for example, dictionaries (excluding the cases when it is allowed in specification) Recommend learners to cross the wrong answers instead of using an eraser. During the assessment you can answer learners’ questions, regarding the instructions and the assessment duration. You should not spell, paraphrase or provide any information that could give the learner an advantage. Always tell the learners that they have 5 minutes left before the end of the Summative Assessment. Tell the learners to stop writing and put down their pens/pencils on the desks at the end of the Summative Assessment. 7. Moderation and marking All teachers use the same version of the mark scheme. During the moderation process it is necessary to check learner sample papers with the marks awarded to ensure there are no deviations from the standardized mark scheme. SPECIFICATION OF INTERNAL SUMMATIVE ASSESSMENT FOR TERM 1 Review of the internal summative assessment for term 1 Duration of the internal summative assessment – 80 minutes Total marks - 60 Types of tasks: MCH - Questions with multiple choice answers. ShA - Questions that require short answer. EA - Questions that require an extended answer. The structure of the internal summative assessment This option consists of 24 tasks, including tasks with multiple choice of answers, with brief and detailed answers. Multiple Choice / Closed questions: The learner choses the correct answer from a list. This can be choosing an answer from four alternatives, sentence completion by choosing the correct word from a list, joining linked words in two lists, etc. Short response: This is a question requiring a written answer between one word and a few sentences in length, usually worth 1 or 4 marks. Structured: The question is divided into several shorter sub-parts, usually containing Closed Questions and Short Response, usually of increasing difficulty on the same area. 1 Characteristic of tasks for internal summative assessment for the 1 term Unit Electromagnetic oscillations and electromagnetic waves Learning objective Levels of thinking skills 12.1.1.2 - describe sources of electromagnetic oscillations; 12.1.1.4 - know the types and characteristics of electromagnetic waves in accordance with the scale of electromagnetic waves; 12.1.1.13 - give examples of the use of electromagnetic waves; 12.1.1.3 - understand the term modulation and be able to distinguish between amplitude modulation (AM) and frequency modulation (FM); 12.1.1.5 - recall the advantages of the transmission of data in digital form, compared to the transmission of data in analogue form; 12.1.1.6 - understand that the digital transmission of speech or music involves analogue-to-digital conversion (ADC) on transmission and digital-to-analogue conversion (DAC) on reception; 12.1.1.17 - appreciate that information may be carried by a number of different channels, including wire-pairs, coaxial cables, radio and microwave links and optic fibres; 12.1.1.9 - know the relative merits of both geostationary and polar orbiting satellites; Total: Note: * - sections that can be changed *Total numbe r of tasks *Questio n№ *Type of question *Time *Mark Higher order thinking skills 14 Sha 5 2 Knowledge and understanding 1,2,3,8,9 13,16 MCH ShA 10 11 Application 12 ShA 5 7 Application 4,5,7 11 MCH ShA 10 6 Application 18 ShA 10 3 Application 6 24 21 MCH EA ShA 15 12 Application 10 17 19,20 MCH ShA 15 13 Knowledge and understanding 15,22,23 ShA 10 6 24 80 min Total marks 60 60 Sample questions and mark scheme Tasks for the Internal Summative Assessment for the term 1 QUESTIONS WITH MULTIPLE CHOICE ANSWERS 1. Which list shows electromagnetic waves in order of increasing frequency? A. radio waves → gamma rays → ultraviolet → infra-red B. radio waves → infra-red → ultraviolet → gamma rays C. ultraviolet → gamma rays → radio waves → infra-red D. ultraviolet → infra-red → radio waves → gamma rays [1] 2. Which one of the following statements concerning the wavelength of an electromagnetic wave in a vacuum is true? A. The wavelength is inversely proportional to the speed of the wave. B. The wavelength is the same for all types of electromagnetic waves. C. The wavelength is directly proportional to the frequency of the wave. D. The wavelength is inversely proportional to the frequency of the wave. [1] 3. The Y-input terminals of a cathode-ray oscilloscope (c.r.o.) are connected to a supply of amplitude 5.0V and frequency 50Hz. The time-base is set at 10ms per division and the Y-gain at 5.0V per division. Which trace is obtained? [1] 4. Amplitude modulation is A. Change in amplitude of the carrier according to modulating signal B. Change in frequency of the carrier according to modulating signal C. Change in amplitude of the modulating signal according to carrier signal D. Change in amplitude of the carrier according to modulating signal frequency [1] 5. In an AM wave useful power is carrier by …………. A. Carrier B. Sidebands C. Both sidebands and carrier D. None of the above [1] 4 6. Calculate the power in one of the side band in SSBSC modulation when the carrier power is 124W and there is 80% modulation depth in the amplitude modulated signal. A. 89.33 W B. 64.85 W C. 79.36 W D. 102 W [1] 7. What is the carrier frequency in an AM wave when its highest frequency component is 850 Hz and the bandwidth of the signal is 50Hz? A. 80 Hz B. 695 Hz C. 625 Hz D. 825 Hz [1] 8. The functions of radio receiver are A. Receive the Incoming modulated carrier by antenna B. Select the wanted signal and reject the unwanted signals and noise C. Detection and amplification of the information signal from the carrier D. All of the above [1] 9. Which one of the following statements concerning electromagnetic waves is false? A. Electromagnetic waves carry energy. B. X-rays have longer wavelengths than radio waves. C. In vacuum, all electromagnetic waves travel at the same speed. D. Lower frequency electromagnetic waves can be produced by oscillating circuits. [1] 10. Coaxial cable offers a band width approximately MHz A. 1 B. 20 C. 250 D. 1000 [1] QUESTIONS THAT REQUIRE SHORT ANSWER 11. A radio station on the MW network transmits with a carrier frequency of 500 kHz, amplitude modulated by an audio baseband of 100 Hz to 3.5 kHz. (i) Sketch the frequency spectrum of the station [2] (ii) calculate the bandwidth of the AM signal. [1] 5 12. Find matches/ Each Technology may be used only once Electromagnetic Radiation X rays Microwaves Gamma rays Radio waves Infrared waves Ultraviolet waves Radar A B C D E F G Technology TV broadcast signals In a hospital to keep surgical equipment sterile Examining the inside of a weld in a steel oil pipe Lamp used to warm a baby chick Measuring the speed of a passing car Used by an oncologist (a physician who studies and treats cancer) Cell phone [7] 13. If the statement is true, write “T” on the line in front of the statement. If it is false, write “F” 1)_________Electromagnetic radiation includes only visible light waves [1] 2) _________Microwaves are a type of infrared wave [1] 3) _____ Radio waves, microwaves and ultraviolet waves all have longer wavelengths than visible light. [1] 4)_________Both X rays and gamma rays have higher frequencies than ultraviolet rays. [1] 14. Describe sources of electromagnetic oscillations _______________________________________________________________________ [2] 15. a) Describe the orbit of a geostationary satellite. [3] 16. Determine the frequency of a microwave 6.0 cm in length. (A microwave is an electromagnetic wave. It travels through space at a speed of 3.0 x 108 m/s) [2] 17. What is coaxial cable? _________________________________________________________________________ [2] Advantages_______________________________________________________________ [1] Disadvantages_____________________________________________________________ [1] 18. What are the Advantages of digital transmission over analog? [3] 19. In the original telephone system of 1876, every telephone was connected to every other telephone by a pair of wires. Today the telephone is used worldwide as the result of the invention of the exchange and the use of sampling using digital electronics. Describe how each of these developments has meant that many telephone conversations can take place at once. ..................................................................................................................................... [4] 20. In the modern telephone system, more and more coaxial cable has been replaced for longdistance transmission of telephone signals by optic fibre. State and explain two reasons for this change. 6 ..................................................................................................................................... [4] 21. State and explain the effect on the transmitted analogue waveform of increasing, for the ADC and the DAC, both the sampling frequency and the number of bits in each sample. ..................................................................................................................................... [3] 22. State a typical wavelength for communication between the Earth’s surface and a geostationary satellite. [1] 23. State one advantage and one disadvantage of the use of a geostationary satellite rather than a satellite in polar orbit for telephone communication. [2] QUESTIONS THAT REQUIRE AN EXTENDED ANSWER 24. The digital transmission of speech may be represented by the block diagram of Fig.1 (a) State the purpose of the parallel-to-serial converter. ..................................................................................................................................... [2] (b) Part of the signal from the microphone is shown in Fig.2 The ADC (analogue-to-digital converter) samples the analogue signal at a frequency of 5.0 kHz. Each sample from the ADC is a four-bit digital number where the smallest bit represents 1.0 mV. The first sample is taken at time zero. 7 Use Fig.2 to determine the four-bit digital number produced by the ADC at times (i) 0.4 ms, ............................................................................................................................. [1] (ii) 0.8 ms. ............................................................................................................................. [1] (c) The digital signal is transmitted and then converted to an analogue form by the DAC (digital-to-analogue converter). Using data from Fig.2, draw, on the axes of Fig.3, the output level of the transmitted analogue signal for time zero to time 1.2 ms. [4] Total: 60 8 Mark scheme Task № 1 2 3 4 5 6 7 8 9 10 Answer B D D A B C D D B B 11 (i) Mark 1 1 1 1 1 1 1 1 1 1 2 (ii) Bandwidth = 503.5-497.5 = 7kHz 1 12 13 14 15 1) 2) 3) 4) Electromagnetic Radiation C X rays G Microwaves A. B F Gamma rays C A D Radio waves Infrared waves D E B Ultraviolet waves F E Radar G Technology TV broadcast signals In a hospital to keep surgical equipment sterile Examining the inside of a weld in a steel oil pipe Lamp used to warm a baby chick Measuring the speed of a passing car Used by an oncologist (a physician who studies and treats cancer) Cell phone False False True True correctly describes sources of oscillation gives examples Orbits around the Earth’s equator. 1 1 1 1 1 1 1 1 Takes one day for a complete orbit. 16 7 Stays over one point on the Earth OR height of orbit 36 000 km above Earth’s surface. 5*109 Hz 9 1 2 Additional information 17 18 Single copper wire surrounded by at least three layers Often used for cable television wiring ADVANTAGES No cables needed/ Multiple channels available/ Wide bandwidth Disadvantages Line-of-sight will be disrupted if any obstacle, such as new buildings, are in the way or Signal absorption by the atmosphere. Microwaves suffer from attenuation due to atmospheric conditions or Towers are expensive to build 1 1 1 1) Digital signals do not get corrupted by noise etc. You are sending a series of numbers that represent the signal of interest (i.e. audio, video etc.) 1 2) Digital signals typically use less bandwidth. This is just another way to say you can cram more information (audio, video) into the same space. 3) Digital can be encrypted so that only the intended receiver can decode it (like pay per view video, secure telephone etc.) 19 1 1 a) The public switched telephone network connects every telephone through exchanges. 1 Without exchanges too many telephones and interconnecting wires are needed. 1 One cable can handle many telephone conversations at once. Sampling places a series of digital bits from many telephone conversations on one cable. 20 1 1 1 Any two reasons and explanation/Less attenuation so fewer repeater/regeneration amplifiers needed. 1 More bandwidth so more data can be sent per second/ more telephone calls made at once. 1 Less interference/noise so fewer regeneration amplifiers needed. 1 Lower diameter/ weight so easier to handle/cheaper. 1 21 increasing number of bits reduces step height increasing sampling frequency reduces step depth / width reproduction of signal is more exact 1 1 1 22 First satellites used wavelengths of about 5 cm; typically now between 1 mm and 1 cm. 1 10 23 24 Advantage: permanent link with ground station/dishes do not have to be moved. Disadvantage: greater time delay for signal OR further away so signal weaker. (a) takes all the simultaneous digits for one number and ‘sends’ them one after another (along the transmission line) (b) (i) 0111 (ii) 0110 (c) levels shown (–1 for each error or omission) correct basic shape of graph i.e. series of steps with levels staying constant during correct time intervals (vertical lines in steps do not need to be shown 1 1 1 1 1 1 1 1 1 1 60 Total: 11 SPECIFICATION OF INTERNAL SUMMATIVE ASSESSMENT FOR TERM 2 Review of the internal summative assessment for term 2 Duration of the internal summative assessment – 80 minutes Total marks - 60 Types of tasks: MCH - Questions with multiple choice answers. ShA - Questions that require short answer. EA - Questions that require an extended answer. The structure of the internal summative assessment This option consists of 24 tasks, including tasks with multiple choice of answers, with brief and detailed answers. Multiple Choice / Closed questions: The learner choses the correct answer from a list. This can be choosing an answer from four alternatives, sentence completion by choosing the correct word from a list, joining linked words in two lists, etc. Short response: This is a question requiring a written answer between one word and a few sentences in length, usually worth 1 or 4 marks. Structured: The question is divided into several shorter sub-parts, usually containing Closed Questions and Short Response, usually of increasing difficulty on the same area. 12 Characteristic of tasks for internal summative assessment for the 2 term Unit 12.1.A Alternate current Learning objective 12.1.2.3 - describe the processes occurring in an alternating current circuit that has active resistance; 12.1.2.5 - be able to apply the Ohm’s law for alternating-current circuit that has reactive resistance; 12.1.2.8 - present a sinusoidally alternating current or voltage by an equation of the form x=xmaxsinωt 12.1.2.7 - deduce that the mean power in a resistive load is half the maximum power for a sinusoidal alternating current; 12.1.2.9 - describe the principle of operation of a transformer and solve problems using N1/N2=V1/V2=I2/I1 for an ideal transformer; 12.1.2.11 - explain the principle of alternating current transmission over distance; 12.1.2.14 - distinguish graphically between halfwave and full- wave rectification; 12.1.2.15 - explain the use of four diodes (bridge rectifier) for the full-wave rectification of an alternating current; 12.1.2.16 - analyse the effect of a single capacitor during rectification, including the effect of the value of capacitance in relation to the load resistance; Total: Note: * - sections that can be changed Levels of thinking skills Higher order thinking skills *Total *Question № *Type of number question of tasks 19, 20, ShA 21 Application 7, 10 13, 18 Application *Tim e *Mark 15 13 MCH ShA 7 7 11 ShA 3 3 Application 2 12 24 a(i)(ii)(iii) MCH ShA EA 5 6 Application 1, 3,9 15, 14 (b) MCH ShA 15 11 4, 5 17 MCH ShA 5 4 6, 8 24 (b, с) MCH EA 10 8 Application 14 (a) 22 ShA EA 10 4 Application 16, 23 ShA 10 4 Knowledge and understanding Knowledge and understanding 24 Total marks 60 80 min 60 Sample questions and mark scheme Tasks for the Internal Summative Assessment for the term 2 QUESTIONS WITH MULTIPLE CHOICE ANSWERS 1. If a secondary coil has 40 turns, and, a primary coil with 20 turns is charged with 50 V of potential difference, then potential difference in secondary coil would be A. 50 V in secondary coil B. 25 V in secondary coil C. 60 V in secondary coil D. 100 V in secondary coil [1] 2. What is the peak value of a household appliance that uses a 230 V ac source? A. 325 V B. 163 V C. 480 V D. 230 V [1] 3. In transformer, alternating current is induced in A. primary coil B. secondary coil C. iron core D. resistor [1] 4. Why is ac current transfer more effective than dc current transfer over long distances? A. due to step-up and step-down transformers reducing I-R losses B. due to the use of ac generators C. due to the height of power lines D. due to very high voltages [1] 5. A high-voltage powerline operates at 500 000 V-rms and carries an rms current of 500 A. If the resistance of the cable is 0.050Ω/km, what is the resistive power loss in 200 km of the powerline? A. 250 kW B. 500 kW C. 1 Megawatt D. 2.5 Megawatt [1] 6. An alternating current (a.c.) supply is connected to a resistor through a rectifier as shown in the diagram. 15 Which pattern will be viewed on the screen of an oscilloscope connected across the resistor? [1] 7. The graph shows the variation with time of the alternating current in a resistor. The resistor has a resistance of 2.0 . What is the mean power? A. 0 B. 1.0 W C. 1.4 W D. 2.0 W [1] 8. An alternating voltage is rectified using a diode and a capacitor C. The output is not constant; there is a small variation in the current I in the resistor R. [1] 16 9. The number of turns on the transformers is as shown in the figure. What is the output voltage of the transformers, in volts, if the input voltage of the transformers is 5 V? A. B. C. D. 10 15 30 35 [1] 10. In an ac circuit, a 0.025-H inductor is connected to a generator that has an rms voltage of 25 V and operates at 50.0 Hz. What is the rms current through the inductor? A. B. C. D. 0.62 A 2.0 A 3.2 A 7.1 A [1] QUESTIONS THAT REQUIRE SHORT ANSWER 11. An alternating current is represented by the equation: I = 2 sin 50t (a) What is the peak value of the current? _____________________________________________________________________ [1] (b) Calculate the frequency of the supply ____________________________________________________________________ [2] 12. An alternating current (ac) source is connected to a resistor to form a complete circuit. The trace obtained on an oscilloscope connected across the resistor is shown in the diagram below. The oscilloscope settings are: Y gain 5.0 V per division time base 2.0 ms per division (i) Calculate the peak voltage of the ac source. answer = ....................................... V [1] (ii) Calculate the rms voltage answer = ....................................... V [1] 13. Calculate the inductive reactance of a 3.00 mH inductor when 10.0 kHz AC voltages are applied. What is the rms current if the applied rms voltage is 120 V? 17 ____________________________________________________________________ [3] 14. A student is asked to design a circuit by which a direct voltage of peak value 9.0 V is obtained from a 240 V alternating supply.The student uses a transformer that may be considered to be ideal and a bridge rectifier incorporating four ideal diodes. The partially completed circuit diagram is shown in Fig. (a) On Fig., draw symbols for the four diodes so as to produce the polarity across the load as shown on the diagram. [2] (b) Calculate the ratio number of turns on the secondary coil number of turns on the primary coil ratio = ................................................ [3] 15. An electrician uses a transformer to step the 230 V r.m.s. mains voltage down to 115 V r.m.s. The secondary coil has 500 turns and is connected to a resistor of 5000 . (a) Calculate the number of turns on the primary coil. [1] (b) Calculate the current in the secondary coil. [1] (c) Calculate the current in the primary coil. Assume that the transformer is 100 % efficient. [1] (d) The electrician connects cables to the secondary coil that break down when the p.d. between the wire and earth is larger than 130 V. Explain whether the cables will break down when the transformer is switched on. [2] 16. (i) On Fig, draw the symbol for a capacitor, connected into the circuit so as to provide smoothing. (ii) State how the amount of smoothing may be increased. 18 [1] [1] 17. Transformer A produces a very high voltage to transmit the electrical energy through the National Grid. Explain why electrical energy is transmitted at a very high voltage [2] 18. A resistor of 200 Ω and a capacitor of 15.0 µF are connected in series to a 220 V, 50 Hz ac source. Calculate the current in the circuit. [2] 19. Which component, the resistor or the capacitor, will drop more voltage in this circuit? 20. Calculate all voltages and currents in this circuit, as well as the total impedance [1] [4] 21. An alternating voltage is applied across each of the components as shown below. In each case, sketch a graph to show the current through and voltage across the component. State the phase relationship for each component. [6] 19 22. The output from the transformer is to be full-wave rectified. Fig. shows part of the rectifier circuit. On Fig, draw diode symbols to complete the diagram of the rectifier such that terminal A of the resistor R is positive with respect to terminal B [2] 23. Suggest one advantage of full-wave rectification as compared with half-wave rectification. [1] QUESTIONS THAT REQUIRE AN EXTENDED ANSWER 24. A sinusoidal alternating voltage supply is connected to a bridge rectifier consisting of four ideal diodes. The output of the rectifier is connected to a resistor R and a capacitor C as shown in Fig.1 The function of C is to provide some smoothing to the potential difference across R. The variation with time t of the potential difference V across the resistor R is shown in Fig.2. 20 (a) Use Fig.2 to determine, for the alternating supply, (i) the peak voltage, peak voltage = ............................................. V [1] (ii) the root-mean-square (r.m.s.) voltage, r.m.s. voltage = ............................................. V [1] (iii) the frequency. Show your working. frequency = ........................................... Hz [3] (b) (i) determine the change in potential difference [1] (ii) determine the change in charge on each plate of the capacitor [2] (iii) show that the average current in the resistor is 1.1 × 10–3 A [2] (c) Use the graph and the value of the current given in (b)(iii) to estimate the resistance of resistor R. [2] Total: 60 21 Mark scheme Task № 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Answer Mark D A B A D C D D C C 10 V 7.1 V I = V/XL 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 188 Ω 1 0.637 A 1 a) all four diodes correct to give output, regardless of polarity connected for correct polarity 1 1 b) Ns / Np = Vs / V p V0 = √2 Vrms ratio = 9.0 / (√2 × 240) = 1/38 or 1/37 or 0.027 1 1 1 a) 2A b) 2f = 50; f = 25Hz; 15 a) Number of turns on the primary 115 500 1000 turns 230 Vs 115 = 0.023 A r.m.s. R 5000 500 c) Ip 0.023 = 0.0125 A 0.013 A r.m.s. 1000 1 d) Peak voltage 115 2 162 V so the cables will break down (i) correct symbol, connected in parallel with R (ii) larger capacitor / second capacitor in parallel with R (not increase R) To minimize losses for Joule heating ohmic and resistive heating - process of heating up the conductor as electric current flows through it. 1 1 1 b) Is 16 17 1 22 1 1 1 1 Additional information 18 19 20 Z= 291.5 Ω 0.755 A The resistor will drop more voltage. Ztotal = 6.944 kΩ I = 4.896 mARMS VL = 23.07 VRMS VR = 24.97 VRMS 1 1 1 1 1 1 1 21 1 1 1 1 1 1 22 23 24 1 1 more (output) power available/ less ripple for same smoothing capacitor/ any sensible suggestion (a) (i) peak voltage = 4.0V (ii) (ii) r.m.s. voltage (= 4.0/√2) = 2.8V (iii) ii) period T = 20ms frequency = 1 / (20 × 10–3) frequency = 50Hz 1 1 1 1 1 1 (b) (i) ΔV = 4.0 - 2.4 (see graph) = 1.6V (ii) ΔQ = CΔV ΔQ = 8.0 x 10-6 C (iii) t = 7.0 x 10-3s (see graph) I = (8.0 x 10-6)/(7.0 x 10-3) 1 1 1 1 1 (c) Average voltage = 3.2V R = 2900 Ω Total: 1 1 60 23 SPECIFICATION OF INTERNAL SUMMATIVE ASSESSMENT FOR TERM 3 Review of the internal summative assessment for term 3 Duration of the internal summative assessment – 80 minutes Total marks - 60 Types of tasks: MCH - Questions with multiple choice answers. ShA - Questions that require short answer. EA - Questions that require an extended answer. The structure of the internal summative assessment This option consists of 24 tasks, including tasks with multiple choice of answers, with brief and detailed answers. Multiple Choice / Closed questions: The learner choses the correct answer from a list. This can be choosing an answer from four alternatives, sentence completion by choosing the correct word from a list, joining linked words in two lists, etc. Short response: This is a question requiring a written answer between one word and a few sentences in length, usually worth 1 or 4 marks. Structured: The question is divided into several shorter sub-parts, usually containing Closed Questions and Short Response, usually of increasing difficulty on the same area. 24 Unit 12.3.A Charged particles 12.3.B Quantum physics 12.3.С Nuclear physics Characteristic of tasks for internal summative assessment for the 3 term Learning objective Levels of *Total *Questio *Type of thinking number n№ question skills of tasks 12.2.1.1 - show an understanding of the main Knowledge principles of determination of electron charge by and 2 MCH Millikan’s experiment; understanding 2 12.2.1.3 - describe and analyse qualitatively the deflection of beams of charged particles by Application 6 MCH uniform electric and uniform magnetic fields; 12.2.2.2 - recall and use E=h f; Application 5 MCH 12.2.2.6 - explain the photoelectric phenomenon in terms of photon energy and work function Application 4 MCH energy; 12.2.2.7 - explain why work function is independent of light intensity, whereas Application 12 ShA photoelectric current is proportional to intensity; 12.2.2.8 - know and apply the formula hf = A + mv2ma x/2; when solving problems, and understand Application 9 23 EA as an expression resulting from the Law of conservation of energy; 12.2.2.10 - know and use the relation for the de Application 20 ShA Broglie wavelength: λ = h/P; 12.2.2.12 - distinguish between emission and Knowledge 8 MCH absorption line spectra; and 17 ShA understanding 12.2.2.13 - recall and solve problems using the 9 MCH Application relation h f = E1 - E2; 18 ShA 12.2.3.1 - infer from the results of the α-particle Higher order 7 MCH scattering experiment the existence and small size thinking skills 24 EA of the nucleus; 13 12.2.3.6 - know that nucleon number, proton Knowledge 1 MCH number, and mass-energy are all conserved in and 19 ShA *Time *Mark 1 1 Total marks 2 2 1 2 1 2 1 3 3 5 8 5 2 5 4 5 3 8 7 22 36 5 3 nuclear processes; 12.2.3.7 - represent simple nuclear reactions by nuclear equations of the form 𝟒 𝟏𝟕 𝟏 𝟏𝟒 𝟕𝑵 + 𝟐𝑯𝒆 → 𝟖𝑶 + 𝟏𝑯; 12.2.3.8 - show an understanding of the spontaneous and random nature of nuclear decay; 12.2.3.16 - know the concepts of activity and decay constant, and solve problems using the formula A=λN; 12.2.3.18 - define half-life; 12.2.3.9 - show an understanding of the nature and properties of α-, β- and γ-radiations; 12.2.3.12 - show an appreciation of the association between energy and mass as represented by E = mc2, and solve problems using this formula; 12.2.3.13 - understand and calculate the variation of binding energy per nucleon with nucleon number (specific binding energy); Total: Note: * - sections that can be changed understanding Application 11 ShA 5 3 Application 16 ShA 5 4 Application 15 ShA 5 4 Application Knowledge and understanding 14 ShA 5 4 3,10 13 MCH ShA 4 5 Application 21 ShA 8 3 ShA 5 3 Application 22 24 80 60 Sample questions and mark scheme Tasks for the Internal Summative Assessment for the term 3 QUESTIONS WITH MULTIPLE CHOICE ANSWERS 1. A nucleus of magnesium decays into a nucleus of sodium by emitting a β+ particle. The decay is represented by the equation shown. 23 0 𝑀𝑔12 → 𝑁𝑎𝑄𝑃 + 𝛽+1 What are the values of P and Q? P Q A 22 11 B 22 13 C 23 11 D 23 13 [1] 2. What information did Millikan use to determine the charge on an electron? A. The rate at which the oil drop was rising from the plate. B. The strength of the electric field. C. The mass of the oil drop. D. All of the above. [1] 3. Alpha, beta and gamma radiations have various depths of penetration in matter and different charges. Which row best summarises the penetration and charge of each radiation? A B Alpha absorbed by a sheet of card negative charge absorbed by a sheet of card negative charge C absorbed by a sheet of card positive charge D absorbed by several mm of aluminium positive charge beta absorbed by several mm of aluminium no charge absorbed by several mm of aluminium positive charge absorbed by several mm of aluminium negative charge not fully absorbed by several cm of lead negative charge gamma not fully absorbed by several cm of lead no charge not fully absorbed by several cm of lead no charge not fully absorbed by several cm of lead no charge absorbed by a sheet of card no charge [1] 4. Which change will not change the kinetic energy of the most energetic electrons emitted in the photoelectric effect? A. changing the brightness of the light B. changing the frequency of the light C. changing the metal the light is hitting D. all of the above will change the electron’s kinetic energy [1] 5. If barium has a work function of 2.60 eV, what is its cutoff wavelength when used as a phototube target? (h = 6.63 × 10−34 J⋅s, c = 3.00 × 108 m/s, 1 eV = 1.60 × 10−19 J, and 1 nm = 10−9 m) A. 398 nm B. 478 nm C. 497 nm D. 596 nm [1] 6. A particle is in a uniform field. The particle experiences a force in the opposite direction to the field. Which field is the particle in, and on which property of the particle is the field acting? [1] 7. Two α-particles with equal energies are deflected by a large nucleus. Which diagram best represents their paths? [1] 8. When an electron falls from an orbit where n = 2 to n = 1: A. a photon is emitted. B. A photon is absorbed. C. No change in atomic energy. D. The atomic energy decreases to zero. [1] 9. When an electron jumps from an orbit where n = 1 to n = 4, its energy in terms of the energy of the ground level (E1) is: A. E1/9 B. E1/16 C. 4 E1 D. 16 E1 [1] 10. What can be assumed to be the maximum range of an 𝛼-particle in air? A. a few millimetres B. a few centimetres C. a few metres D. a few kilometres [1] QUESTIONS THAT REQUIRE SHORT ANSWER 11. This question is about nuclear binding energy. The table below gives the mass defect per nucleon of deuterium He. H and helium-4 2 1 4 2 Mass defect per nucleon / u H 0.00120 He 0.00760 2 1 4 2 (a) Explain the term mass defect. [1] (b) Calculate the energy, in joule, that is released when two deuterium nuclei fuse to form a helium-4 nucleus. [2] 12. (i) True or False: Maximum Kinetic Energy of emitted electrons is independent of frequency and directly proportional to intensity of incident light ________________________[1] (ii) True or False: Photons are electrically neutral and not deflected by electric or magnetic fields ______________________[1] (iii) True or False: In a photon-particle collision, photon may be absorbed in a collision or a new one created. ______________________[1] 13. What is the difference of alpha beta and gamma radiation? _____________________________________________________________________[3] 14. a) Define the half-life of a radioactive isotope. [1] b) The half-life of a particular isotope is 20 minutes. A sample initially contains N0 nuclei of this isotope. Determine the number of nuclei of the isotope left in the sample after: i) 20 minutes [1] ii) 1.0 hour. [2] 15. The half-life of the radon isotope 220 86 Rn is 56 s. a) Determine the decay constant in s−1. b) Calculate the activity of a sample containing 6.0 1010 nuclei of 220 86 Rn . [2] [2] 16. a) Distinguish between the random and the spontaneous nature of radioactive decay. [2] b) In each case below, write a nuclear decay equation. i) The polonium isotope 210 84 Po emits an α-particle and changes into an isotope of lead (Pb). [1] ii) The strontium isotope yttrium (Y). 90 38 Sr emits a β-particle and changes into an isotope of [1] 17. White light is incident on a cloud of cool hydrogen gas, as illustrated in Figure . The spectrum of the light emerging from the gas cloud is found to contain a number of dark lines. Explain why these dark lines occur. _______________________________________[3] 18. Some electron energy levels in a hydrogen atom are illustrated in Figure One dark line is observed at a wavelength of 435 nm. Calculate the energy, in eV, of a photon of light of wavelength 435 nm. energy = ................................................... eV [ 2] 19. Complete the following nuclear reactions: ? 0 a. 226 88 Ra ? ? + 1 e b. 209 84 Po 205 82 Pb + ?? ? [2] 20. An electron is accelerated from rest in a vacuum through a potential difference of 4.7 kV. Calculate the de Broglie wavelength of the accelerated electron. [2] 21. a) Write down Einstein’s famous equation relating mass and energy. b) Determine the change in energy equivalent to a change in mass: i) of 1.0 g ii) equal to that of an electron (9.1 10−31 kg). [1] [1] [1] 22. a) Explain why external energy is required to ‘split’ a nucleus. [1] b) Use the data given below to determine the binding energy and the binding energy per nucleon of the nuclide 235 mass of 92 U (mass of proton 1.007 u mass of neutron 1.009 u uranium-235 nucleus 234.992 u) [2] QUESTIONS THAT REQUIRE AN EXTENDED ANSWER 23. (a) The following equation describes the release of electrons from a metal surface illuminated by electromagnetic radiation. hf = Φ + mv2ma x/2 Explain briefly what you understand by each of the terms in the equation. hf ................................................................................................................................[1] k.e.max .........................................................................................................................[1] Φ.....................................................................................................................[1] (b) Calculate the momentum p of an electron travelling in a vacuum at 5% of the speed of light. p = ..........................................................[2] What is the de Broglie wavelength of electrons travelling at this speed? λ = ..........................................................[2] Why are electrons of this wavelength useful for studying the structure of molecules? [1] 24. (a) An experiment in which α-particles were deflected by a gold foil produced new insights into the structure of the atom. Which conclusion can be drawn from the results of the experiment? [1] (b) (c) If there was air between the alpha source and the gold foil, the air would become ionised. Explain what is meant by the term "ionised" [2] Describe the results of the experiment and explain clearly how he linked his results to his conclusion [3] Total: 60 Mark scheme Tas k№ 1 2 3 4 5 6 7 8 9 10 11 Answer Mar k C B C A B A A A D B (a) difference in mass between mass of nucleus; and mass of (totally) separate nucleons; 1 1 1 1 1 1 1 1 1 1 1 (b) mass of helium-4 = 4 0.00760 = 0.0304 u and mass of two deuterium = 4 0.00120 = 0.0048u; 1 mass defect = 0.0256u; 1 energy = 0.0256 1.66 1027 (3 108)2; = 3.8 1012 J; 12 13 14 (i) False (ii) True (iii) True Alpha radiation: corpuscular radiation, helium atoms Beta radiation: electrons Gamma radiation: electromagnetic radiation of high energy a) The half-life of a radioactive isotope is the mean time taken for the number of nuclei of the isotope to decrease to half the initial number. b) i) 20 minutes is 1 half-life, so number of nuclei left ii) 1.0 hour is 3 half-lives. 1 2 3 Number of nuclei left N 0 15 a) t1/2 0.693 λ so λ N0 8 0.693 t1/2 1 1 1 1 1 0.693 56 λ 1.238 102 s1 1.2 102 s1 b) A λN A N0 2 1 1 1 1 1 1 0.693 6.0 1010 56 A 7.4 108 Bq 1 1 1 Additiona l informati on random • a particular nucleus can decay at any time/ count rate or readings fluctuate/ no-one can predict when a nucleus will decay spontaneous • each nucleus decays independently of any other • each nucleus has the same chance of decaying as any other • the decay of nuclei cannot be affected by external factors 16 i) 17 18 19 20 21 22 210 4 206 84 Po 2 He 82 Pb 0 90 90 1 e 39Y 38 ii) Sr photon ‘absorbed’ by electron B1 photon has energy equal to difference in energy of two energy levels electron de-excites emitting photon (of same energy) in any direction E = hc /λ 2.86 eV (2 s.f) a) A=226, Z=89 b) He4 2 energy = p2 /2m or EK = ½mv2 and p = mv p=3.7 × 10–23 N s λ = h/p=1.8 × 10–11 m a) change in energy change in mass (speed of light)2 or ΔE Δmc2 b) ΔE 9.0 1013 J c) ΔE 8.2 1014 J (a) The nucleons within the nucleus are held tightly together by the strong nuclear force. (b) binding energy 3.219 1027 (3.0 108)2 2.897 1010 J binding energy per nucleon 23 (b) p = mv p = 1.37 × 10–23 N s/kg m s–1 λ = 4.84 × 10–11 m 24 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2.897 10 10 1.233 1012 1.2 235 1012 J (a) hf Energy of a photon k.e.max Kinetic energy of emitted electron/equivalent φ Energy to release electron from surface / equivalent λ</ similar to size/spacing 1 1 1 1 2 2 atoms/molecules (a) Atomic nuclei occupy a very small fraction of the volume of an atom (b) Ionize describes the process where radiation knocks electrons out of atoms turning the atoms into (positive) ion 1 1 1 1 (c) 1) Most of the alpha particles went straight through. 1 2) Some of the alpha particles were deflected/deviated because the nucleus was positively charged and repelled the positively charged alpha 1 no ecf for incorrect mass particles. 3) A few of the alpha particles were repelled straight back/at large angles Because the mass of the atom was concentrated in the nucleus/the nucleus is very dense (not “large or heavy”). 1 Total: 60