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GCE JUN 2007 : AS 2 Waves and Photons

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Centre Number 71 Candidate Number ADVANCED SUBSIDIARY (AS) General Certificate of Education 2007 Physics assessing ASY21 Assessment Unit AS 2 Module 2: Waves and Photons [ASY21] FRIDAY 22 JUNE, AFTERNOON TIME 1 hour. INSTRUCTIONS TO CANDIDATES Write your Centre Number and Candidate Number in the spaces provided at the top of this page. Answer all seven questions. Write your answers in the spaces provided in the question paper. INFORMATION FOR CANDIDATES The total mark for this paper is 60. Quality of written communication will be assessed in question 3(a). Figures in brackets printed down the right-hand side of pages indicate the marks awarded to each question or part question. Your attention is drawn to the Data and Formulae Sheet which is inside this question paper. You may use an electronic calculator. For Examiner s use only Question Number 1 2 3 4 5 6 7 Total Marks ASY2S7 3193 Marks If you need the values of physical constants to answer any questions in this paper, they may be found on the Data and Formulae Sheet. Answer all seven questions 1 (a) A wave is travelling through a medium. With reference to the movement of the particles of the medium, distinguish between a longitudinal and a transverse wave. [1] (b) Derive the relationship between the velocity v of a wave, its frequency f and its wavelength . [2] (c) During the period of the manned moon landings in 1969, communication between NASA and the Apollo Command Modules was maintained using microwaves. (i) To which of the wave types, longitudinal or transverse, do such waves belong? [1] (ii) State one property of the microwaves which was ESSENTIAL for their use in this way. [1] ASY2S7 3193 2 Examiner Only Marks Remark (iii) An instruction was sent from NASA to the Command Module when it was 2.38 108 m from the Earth s surface. How long did the message take to reach the Command Module? time = ASY2S7 3193 s Examiner Only Marks Remark [2] 3 [Turn over 2 (a) Define the following terms associated with a converging lens: Examiner Only Marks (i) Principal focus (ii) Focal length [3] (b) It is required to use a lens to form a magnified, upright image of an object. (i) Should a converging or diverging lens be used? [1] (ii) On the diagram below, draw a diagram to show the position of the object O and the image I. Show the paths of the rays and any construction lines you use. Label your diagram appropriately. Lens 2F F F 2F [4] (iii) State whether the image formed is real or virtual. [1] ASY2S7 3193 4 Remark (iv) The lens has a focal length of numerical magnitude 10 cm. The magnified, upright image is to have a magnification of 5.0. Calculate the distance from the lens at which the object must be placed to achieve this magnification. Distance = ASY2S7 3193 cm Examiner Only Marks Remark [3] 5 [Turn over In part (a) of this question you should answer in continuous prose. You will be assessed on the quality of your written communication. 3 The speed of sound can be determined using a resonance tube of variable length and a number of tuning forks of known frequency. (a) Describe briefly how the apparatus would be used. State the readings to be taken. Show how the results would be processed to obtain a value for the speed of sound in air. Use of apparatus: ___________________________________________ Readings: _________________________________________________ Result processing: ___________________________________________ [5] Quality of written communication ASY2S7 3193 [1] 6 Examiner Only Marks Remark (b) The frequency of a pure note can be determined by examining the trace displayed on a cathode ray oscilloscope (c.r.o.). A source of unknown frequency is placed beside a microphone connected to a c.r.o. The audio frequency trace is displayed on a c.r.o. screen as shown in Fig. 3.1. Examiner Only Marks Remark Fig. 3.1 The timebase is set at 1.0 ms per division. Determine the frequency of the sound. Frequency = ASY2S7 3193 Hz [3] 7 [Turn over 4 (a) (i) What is a stationary wave? Examiner Only Marks [1] (ii) What conditions result in the formation of a stationary wave? [2] (iii) Name the physical principle required to explain the formation of a stationary wave. [1] (b) (i) Fig. 4.1 shows a string, of length 0.60 m, held taut between two fixed supports. The string is plucked at point X, halfway along the string, as shown in Fig. 4.1. X 0.60 m fixed support fixed support Fig. 4.1 On Figs 4.2 and 4.3, draw the first two modes of vibration of the string. Mark the positions of any nodes N and antinodes A. Fig. 4.2 Fig. 4.3 [3] ASY2S7 3193 8 Remark (ii) Calculate the wavelengths 1 and 2 for the first two modes of vibration. 1 = m 2 = m Examiner Only Marks Remark [2] (c) The string stops vibrating. It is now plucked at point P, 0.15 m from the left-hand support, as shown in Fig. 4.4. 0.15 m P Fig. 4.4 (i) On Fig. 4.5, draw the first mode of vibration of the string when it is plucked at this point. P Fig. 4.5 [1] (ii) Calculate the wavelength 3 for this mode of vibration. 3 = ASY2S7 3193 m [1] 9 [Turn over 5 (a) (i) The metal casing of a spacecraft is found to become positively charged due to exposure to ultraviolet radiation during flight. Explain, referring to the principle of the photoelectric effect, how this occurs. Examiner Only Marks [3] (ii) Suggest why this effect does not occur to the same extent when the spacecraft is on the Earth s surface. [1] (b) Caesium has a work function of 1.90 eV. (i) What is meant by the term work function? [1] ASY2S7 3193 10 Remark (ii) Calculate the maximum kinetic energy of the electrons emitted when a caesium surface is illuminated by radiation of frequency 5.5 1014 Hz. J Maximum kinetic energy = Examiner Only Marks Remark [3] (iii) With the aid of a calculation, explain whether or not photoelectric emission would occur if the caesium surface were illuminated with radiation of frequency 4.0 1014 Hz. [2] ASY2S7 3193 11 [Turn over 6 (a) In the space below, sketch an energy level diagram of a hydrogen atom which shows the ground state and four possible excited states. Label your sketch with ground state and excited state . Show the direction of increasing energy by an arrow. No numerical values are required. [3] (b) Explain the meaning of the term ground state. [1] (c) (i) Use your diagram to illustrate what happens to the electron in the atom when electromagnetic radiation is absorbed by the electron. [1] (ii) Explain why the hydrogen emission spectrum consists of a limited number of characteristic wavelengths only. [2] ASY2S7 3193 12 Examiner Only Marks Remark 7 Particles such as electrons exhibit wavelike properties. Examiner Only Marks (a) Name an experiment used to provide evidence for this statement. Explain how this evidence supports the idea that electrons can behave as waves. [2] (b) Calculate the momentum of an electron which has a wavelength of 0.14 nm. Momentum = Ns [2] THIS IS THE END OF THE QUESTION PAPER ASY2S7 3193 13 Remark S 1/07 7-166-1 [Turn over GCE Physics (Advanced Subsidiary and Advanced) Data and Formulae Sheet Values of constants speed of light in a vacuum c = 3.00 108 m s 1 permeability of a vacuum 0 = 4 10 7 H m 1 permittivity of a vacuum 0 = 8.85 10 12 F m 1 1 = 8.99 109 F 1 m 4 0 ( ) elementary charge e = 1.60 10 19 C the Planck constant h = 6.63 10 34 J s unified atomic mass unit 1 u = 1.66 10 27 kg mass of electron me = 9.11 10 31 kg mass of proton mp = 1.67 10 27 kg molar gas constant R = 8.31 J K 1 mol 1 the Avogadro constant NA = 6.02 1023 mol 1 the Boltzmann constant k = 1.38 10 23 J K 1 gravitational constant G = 6.67 10 11 N m2 kg 2 acceleration of free fall on the Earth s surface g = 9.81 m s 2 electron volt 1 eV = 1.60 10 19 J ASY21INS ASY2S7 USEFUL FORMULAE The following equations may be useful in answering some of the questions in the examination: Thermal physics Mechanics Momentum-impulse relation mv mu = Ft for a constant force Average kinetic energy of a molecule 1 m<c2> 2 Power P = Fv Kinetic theory pV = 1 Nm <c2> 3 Conservation of energy 1 mv 2 2 1 mu 2 = Fs 2 for a constant force Simple harmonic motion Displacement x = x0 cos t or x = x0 sin t Velocity v = x 0 2 x 2 Simple pendulum T = 2 l / g Loaded helical spring T = 2 m / k Medical physics Sound intensity level/dB = 10 lg10(I/I0) Sound intensity difference/dB = 10 lg10(I2/I1) Resolving power sin = / D Waves Capacitors Capacitors in parallel 11 1 1 = + + C C1 C 2 C 3 C = C1 + C2 + C3 Time constant = RC Capacitors in series Electromagnetism Magnetic flux density due to current in (i)i long straight (i)i solenoid B= (ii) long straight (i)i conductor B= = ay/d Diffraction grating 0I 2 a A.c. generator E = E0 sin t = BAN sin t Stress and Strain Hooke s law F = kx Strain energy E = <F > x (= 1 Fx = 1 kx 2 2 2 if Hooke s law is obeyed) Electricity Vout = R1Vin/(R1 + R2) A = N A = A0e t t1 = 0.693/ 2 Photoelectric effect 1 mv2 = max 2 de Broglie equation 1/u + 1/v = 1/ f Radioactive decay Half life Light ASY2S7 l Alternating currents d sin = n Potential divider 0NI Particles and photons Two-slit interference Lens formula = 3 kT 2 = h /p Particle Physics Nuclear radius 1 r = r0 A3 hf hf0

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Additional Info : Gce Physics June 2007 Assessment Unit AS 2, Module 2: Waves and Photons
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