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GCE JAN 2009 : AS 2 Waves and Photons

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Centre Number 71 Candidate Number ADVANCED SUBSIDIARY (AS) General Certificate of Education January 2009 Physics assessing Module 2: Waves and Photons ASY21 Assessment Unit AS 2 [ASY21] TUESDAY 27 JANUARY, MORNING 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 questions. Write your answers in the spaces provided in this 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 4874 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. Examiner Only Marks Remark Answer all seven questions 1 (a) A wave of fixed velocity passes along a stretched string. Fig. 1.1 shows a graph of the displacement d of a particle of the string against time t. 9.0 A d/mm 0 t/s 0S 0.01 Fig. 1.1 (i) Describe the direction of the particle s displacement relative to the velocity of the wave. ______________________________________________________ Hence state the type of wave on the string. Type of wave: _____________________________________ [2] (ii) Determine the amplitude of the wave. Amplitude = _________ mm [1] (iii) Determine the frequency of the wave. Frequency = _________ Hz 4874 [2] 2 [Turn over (iv) The velocity of the wave is 80.0 m s 1. Calculate the wavelength of the wave. Wavelength = _________ m Examiner Only Marks Remark [3] (b) Calculate the phase difference between the point A on Fig. 1.1 and the origin S. Phase difference = _________ Unit: _________ 4874 [4] 3 [Turn over 2 (a) Fig. 2.1 shows three rays X, Y and Z incident on the interface between glass and air. Examiner Only Marks Remark air interface glass X C Y Z Fig. 2.1 The critical angle C for glass is shown on the diagram. On Fig. 2.1, sketch the path of each ray after it leaves the interface. Label these paths X, Y and Z respectively. [3] (b) A short pulse of light enters a straight optical fibre of length 1.20 km. The pulse travels along the axis of the fibre, as shown in Fig. 2.2. optical fibre path of pulse 1.20 km Fig. 2.2 (i) The pulse takes 5880 ns to pass along the fibre. Calculate the velocity of light in the material of the fibre. Velocity of light = _________ m s 1 4874 [2] 4 [Turn over (ii) Calculate the refractive index of the material. Examiner Only Marks Refractive index = _________ Remark [2] (iii) Calculate the critical angle of the material of the fibre. Critical angle = _________ [2] QUESTION 2 CONTINUES ON PAGE 6 4874 5 [Turn over (c) A ray of light enters the plane surface of a block of ice at an angle of 27.0 to the surface, as shown in Fig. 2.3. Examiner Only Marks Remark air 27.0 ice Fig. 2.3 (i) State the value of the angle of incidence of the light ray on the ice. Angle of incidence = _________ [1] (ii) The refractive index of ice is 1.31. Calculate the angle of refraction of the ray at the air ice interface. Angle of refraction = _________ [2] (iii) Hence calculate the angle through which the refracted ray has been deviated from its original direction before refraction. Angle of deviation = _________ 4874 [1] 6 [Turn over BLANK PAGE (Questions continue overleaf) 4874 7 [Turn over 3 In part (a) of this question you should answer in continuous prose. You will be assessed on the quality of your written communication. Examiner Only Marks Remark (a) (i) Distinguish between a real and a virtual image. ______________________________________________________ ____________________________________________________ [1] (ii) A small, upright object is placed on the principal axis of a diverging lens. The object is a long way from the lens, almost at infinity. Its image is upright, virtual and diminished, and is very close to the principal focus of the lens. The object is then moved slowly from this distant position to a point close to the lens, within its focal length. Describe how the nature and position of the image change as a result. (You may make sketches in the space below to deduce what happens, but you will be credited only for your prose description.) Description: ____________________________________________ ______________________________________________________ ______________________________________________________ ______________________________________________________ ______________________________________________________ ____________________________________________________ [2] Quality of written communication 4874 [1] 8 [Turn over (b) The lens of a projector produces an image of a square slide of side 2.00 cm on a screen 2.40 m from the lens. The image on the screen is a square of side 0.80 m. Examiner Only Marks Remark (i) Describe the nature of the image formed on the screen. ______________________________________________________ ____________________________________________________ [1] (ii) Calculate the distance between the projector lens and the slide. Distance = _____________ cm [1] (iii) Hence calculate the focal length of the projection lens. Focal length = _____________ cm 4874 [2] 9 [Turn over 4 (a) When waves come together, stationary waves may be formed. State the necessary conditions for this to occur. Examiner Only Marks Remark __________________________________________________________ __________________________________________________________ __________________________________________________________ _______________________________________________________ [3] (b) Fig. 4.1 shows a pipe of length 0.88 m, closed at one end, in air. pipe 0.88 m tuning fork Fig. 4.1 Resonance is obtained when a vibrating tuning fork of frequency 288 Hz is held over the open end. The air in the pipe is then in its second mode of oscillation. (i) On Fig. 4.1, illustrate the second mode of oscillation. Mark the positions of all nodes and antinodes. Use the letter N for each node, and the letter A for each antinode. [2] (ii) Calculate the speed of sound in air. Speed of sound = _____________ m s 1 4874 10 [3] [Turn over 5 (a) Describe a transmission diffraction grating. Examiner Only Marks Remark __________________________________________________________ __________________________________________________________ _______________________________________________________ [2] (b) A diffraction grating is illuminated normally by light of wavelength 589 nm. The first-order diffracted maximum occurs at an angle of 20.7 to the normal. (i) Show that this grating has 600 lines per millimetre. [2] (ii) Find the highest order of diffraction that can be observed with this grating using light of wavelength 589 nm at normal incidence. Highest order = _____________ 4874 [2] 11 [Turn over 6 (a) A metal surface is illuminated by electromagnetic radiation of varying frequencies f. Photoelectrons of maximum kinetic energy Emax are emitted. Fig. 6.1 shows a graph of Emax against f. Examiner Only Marks Remark Emax 0 0 f Fig. 6.1 The gradient of the graph is m and the intercept on the Emax axis is c. In terms of m and c, as appropriate, write down expressions for (i) the Planck constant h, h = ______________________ [1] (ii) the work function of the metal. = ______________________ 4874 [1] 12 [Turn over (b) A zinc surface emits photoelectrons when exposed to very faint ultra-violet radiation. It does not emit photoelectrons when exposed to visible red light of high intensity. Examiner Only Marks Remark (i) Explain this situation. _____________________________________________________ _____________________________________________________ ___________________________________________________ [2] (ii) State how the number of photoelectrons released per second from the zinc surface could be increased. _____________________________________________________ ___________________________________________________ [1] (c) A sodium surface emits photoelectrons of maximum kinetic energy 1.06 10 19 J when illuminated by light of frequency 6.00 1014 Hz. Calculate the work function of the sodium surface in eV. Work function = _____________ eV 4874 13 [3] [Turn over 7 (a) Fig. 7.1 illustrates an experiment to demonstrate electron diffraction. A fine beam of electrons is incident on a thin metal foil inside an evacuated glass container. Examiner Only Marks Remark Vacuum electron beam metal foil fluorescent screen end-on view of screen Fig. 7.1 The pattern on the screen is one of concentric circles. The accelerating potential difference applied to the electrons is increased. This causes the diameter of the circles to decrease. Explain why this happens. __________________________________________________________ __________________________________________________________ __________________________________________________________ __________________________________________________________ _______________________________________________________ [3] (b) The velocity of electrons in a beam is 1.20 107 m s 1. Calculate the wavelength of an electron in the beam. Wavelength = _________ nm 4874 4874 [2] 14 [Turn [Turn over THIS IS THE END OF THE QUESTION PAPER 935-073-1 16 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 4874.02 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 4874.02 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 January 2009 Assessment Unit AS 2, Module 2: Waves and Photons
Tags : General Certificate of Education, A Level and AS Level, uk, council for the curriculum examinations and assessment, gce exam papers, gce a level and as level exam papers , gce past questions and answer, gce past question papers, ccea gce past papers, gce ccea past papers

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