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GCE JUN 2008 : AS 2 Waves and Photons

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Centre Number 71 Candidate Number ADVANCED SUBSIDIARY (AS) General Certificate of Education 2008 Physics assessing Module 2: Waves and Photons ASY21 Assessment Unit AS 2 [ASY21] THURSDAY 19 JUNE, 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 seven 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 6(b). 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 ASY2S8 4659 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) (i) Table 1.1 gives the names of some regions of the electromagnetic spectrum, or a typical wavelength within a region. The regions are not in order of wavelength. Complete the table by adding an appropriate name or a corresponding wavelength in the blank spaces. Table 1.1 Name Microwave X-ray Visible Typical wavelength/m 1 10 7 [3] The examples in Table 1.1 are all transverse waves that can be polarised. (ii) Explain what is meant by polarisation. _____________________________________________________ ___________________________________________________ [1] (iii) Describe how you would demonstrate that visible light can be polarised. _____________________________________________________ _____________________________________________________ ___________________________________________________ [2] (b) Sound is an example of a longitudinal wave. Give one property of longitudinal waves which is different to those of transverse waves. _________________________________________________________ _______________________________________________________ [1] ASY2S8 4659 2 [Turn over 2 (a) (i) Define the principal focus of a converging (convex) lens. Examiner Only Marks Remark _____________________________________________________ ___________________________________________________ [2] (ii) Define the focal length of a converging lens. _____________________________________________________ ___________________________________________________ [1] (b) A converging lens is used to form a virtual, magnified image. Fig. 2.1 shows the position of the lens on the principal axis. The points F and F are the principal foci. The points labelled 2F and 2F are twice as far from the lens as are F and F . 2F F F 2F Fig. 2.1 (i) Mark clearly on Fig 2.1 a possible position of a small, upright object OA, placed to form a virtual, magnified image. [1] (ii) On Fig 2.1 complete the ray diagram to show how the image of OA is formed. Label the image IY. Show a suitable position of the eye to see the image. [3] ASY2S8 4659 3 [Turn over (c) The focal length of a converging lens used to form such an image (virtual and magnified) is 10.0 cm. Examiner Only Marks Remark (i) Calculate how far away from the lens an object must be placed in order to form a virtual image which is six times larger than the object. Object distance from the lens = ______________ cm [4] (ii) Calculate the image distance from the lens. Image distance from the lens = ______________ cm ASY2S8 4659 4 [1] [Turn over BLANK PAGE (Questions continue overleaf) ASY2S8 4659 5 [Turn over 3 A resonance tube and a number of tuning forks of different frequency are used to determine the velocity of sound in air by locating the first resonance position for each tuning fork. For the first or fundamental position of resonance the length of the air column in the tube is L. Fig. 3.1 shows a typical arrangement. Examiner Only Marks Remark Tuning fork Resonance tube L Air column Water Fig. 3.1 (a) On Fig. 3.1 mark the positions of the node (N) and the antinode (A) in the air column. [1] (b) How would an experimenter know that resonance has occurred? _______________________________________________________ [1] (c) (i) State the relationship between the resonant length L and the wavelength of the sound. ___________________________________________________ [1] (ii) Hence show that 1 4 L , where v is the velocity of sound. = v ASY2S8 4659 6 [2] [Turn over (d) A typical set of results has been used to plot the graph in Fig. 3.2. Use this graph and the relation in (c)(ii) to obtain a value for the velocity of sound. (l/f )/10 3 s 4.0 3.8 3.6 3.4 3.2 3.0 2.8 2.6 200 220 240 260 280 300 320 L/mm 340 Fig. 3.2 Examiner Only Marks Velocity of sound = ____________ m s 1 ASY2S8 4659 7 Remark [4] [Turn over 4 (a) State the essential conditions for the formation of stationary waves. Examiner Only Marks Remark _________________________________________________________ _________________________________________________________ _______________________________________________________ [3] (b) A taut string of length 0.60 m is clamped at one end and attached to a vibrator at the other end. The vibrator is connected to a signal generator. The frequency of the signal generator is gradually increased from zero. At a frequency of 122 Hz, the appearance of the string is as shown in Fig. 4.1. 0.60 m Fig. 4.1 (i) Calculate the speed of the progressive waves which gives rise to this mode of vibration. Speed = ____________ m s 1 ASY2S8 4659 [2] 8 [Turn over (ii) The frequency is gradually increased and the next two modes of vibration are located. On Fig. 4.2 and Fig. 4.3, sketch these modes. Mark on these figures the frequencies at which these modes occur. Examiner Only Marks Remark Fig. 4.2 Frequency = ____________ Hz Fig. 4.3 Frequency = ____________ Hz ASY2S8 4659 [4] 9 [Turn over 5 (a) Explain what is meant by the term diffraction. Examiner Only Marks Remark _________________________________________________________ _______________________________________________________ [2] (b) Fig. 5.1 and Fig. 5.2 show sketches of the wavefronts of plane waves of equal wavelength approaching openings of two different widths. Wavefronts Wide opening Fig. 5.1 Wavefronts Narrow opening Fig. 5.2 Complete the sketches to show the wavefronts after passing through the openings. [3] ASY2S8 4659 10 [Turn over (c) Describe very briefly an experiment which could be used to demonstrate such an effect with light. Examiner Only Marks Remark _________________________________________________________ _________________________________________________________ _______________________________________________________ [2] ASY2S8 4659 11 [Turn over In part (b) of this question you should answer in continuous prose. You will be assessed on the quality of your written communication. 6 Examiner Only Marks Remark (a) Fig. 6.1 is a simplified energy level diagram for the hydrogen atom. energy/eV 0 0.38 0.54 0.85 1.5 3.4 13.6 Fig. 6.1 (not to scale) (i) If the electron of a hydrogen atom, initially in the ground state, is given energy 14.0 eV, explain carefully in terms of its energy what is likely to happen to it. _____________________________________________________ ___________________________________________________ [2] (ii) The wavelength of one line in the infra red emission spectrum of hydrogen was measured to be 1.29 m. Make a calculation to determine the energy levels between which an electron transition would result in the emission of a photon of this wavelength. Transition between level __________ eV and _________ eV ASY2S8 4659 12 [4] [Turn over (b) Explain what is meant by fluorescence. You should make reference to energy levels in the fluorescent substance. Examiner Only Marks Remark _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _________________________________________________________ _______________________________________________________ [3] Quality of written communication ASY2S8 4659 [1] 13 [Turn over 7 (a) Describe very briefly an experiment to demonstrate the diffraction of an electron beam. Examiner Only Marks Remark _________________________________________________________ _________________________________________________________ _______________________________________________________ [2] (b) An electron is accelerated from rest through a potential difference of 400 V. Calculate the associated de Broglie wavelength when it reaches its final speed. Wavelength ____________ m [4] THIS IS THE END OF THE QUESTION PAPER ASY2S8 ASY2S8 4659 14 [Turn over S 11/07 530-088-1 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 ASY2S8 4659.02 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= 0NI l 0I 2 a Alternating currents A.c. generator E = E0 sin t = BAN sin t Particles and photons Two-slit interference = ay/d Diffraction grating d sin = n Lens formula 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 Potential divider 4659.02 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 ASY2S8 = 3 kT 2 = h /p Particle Physics Nuclear radius 1 r = r0 A3 hf hf0

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Additional Info : Gce Physics June 2008 Assessment Unit AS 2, Module 2: Waves and Photons
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