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Phys25, Summer 2006, Exam 2 Student Name: ___________________________ Seat Number: ________ Sequence Number: 101 Honor Pledge and signature: I have neither given nor received unauthorized aid on this examination. _____________________ Instructions: This exam is closed book, closed notes. However, you may use a calculator. Mark your answers to the multiple-choice questions on a Scantron answer sheet. Show all of your work on these test papers (no other scratch paper is allowed). Questions 1-16 are worth 3 points each, while questions 17-29 are 4 points each. 1. An electromagnetic wave traveling north is known to have its electric field pointed down at one instant. In what direction is the magnetic field pointing at this same moment? 1. north 2. south 3. east 4. west 2. TV antennas designed to receive electromagnetic radiation from a television broadcasting station may have straight metal rods, a circular loop, or both. Why? 1. The metal rods pick up electric charge from the electromagnetic wave, and the loop provides a conductive path for the current, which creates a magnetic field. 2. Each of the metal rods acts like a polarizer, intercepting the electric field that may be oriented in any direction. The loop is an alternative way for UHF and VHF electric field signals to be intercepted. 3. The metal rods allow electrons to oscillate in response to the sinusoidal electric field, while the loop provides a conductive path for electric current induced by the changing magnetic field. 3. Describe the image you see if you look at your reflection from the concave side of a metal spoon held at arm’s length. 1. The image is real, upright, and reduced. 2. The image is real, inverted, and reduced. 3. The image is real, upright, and enlarged. 4. The image is virtual, upright, and enlarged. 4. One of the contestants on Survivor is nearsighted and tries to start a fire using his eyeglasses to focus the Sun's rays. Is this a good idea? 1. Yes, although it may take some time. 2. It depends on how nearsighted he is. 3. No, he should try some other method. 5. A green laser illuminates a single slit to produce a diffraction pattern on a distant screen. If a laser that produces red light is used instead, what will happen to the diffraction pattern? 1. The diffraction pattern will spread out. 2. The diffraction pattern will become narrower. 3. The diffraction pattern will be brighter (more intense). 6. A thin film floating on water (n = 1.33) is observed to be bright near the edges where it is thinnest. What can be concluded about the index of refraction of this film? 1. n < 1.33 2. n > 1.33 3. n = 1.33 7. The index of refraction of pure water is the same for all frequencies of light. 1. True 2. False 8. Which factor is most important in allowing contact lenses to be so much thinner than eyeglasses, yet just as effective at correcting a person's vision? 1. Contact lenses are made with material that has a higher index of refraction. 2. Less refractive power is required for contacts because they are directly on the eyeball, rather than some distance in front. 3. The average radius of curvature is greater for glasses than for contacts. 9. What makes a black hole "black"? 1. Its emissivity is 1.00, so it is a radiative blackbody. 2. Its gravitational attraction is so great that even light cannot escape. 3. Nobody knows, since we cannot see black holes. 10. Albert Einstein was awarded a Nobel Prize for his theoretical explanation of 1. E=mc^2 2. relativity 3. the photoelectric effect 4. atomic movement (Brownian motion) 11. Which one of the following materials could be used for a photocell designed to operate with visible light (wavelength of 400 to 700 nm)? 1. Aluminum (Wo = 4.28 eV) 2. Gold (Wo = 4.58 eV) 3. Potassium (Wo = 2.24 eV) 12. Who formulated the "Uncertainty Principle"? 1. Wolfgang Pauli 2. Niels Bohr 3. Erwin Schroedinger 4. Werner Heisenberg 13. How many electrons can occupy the n = 3 shell of a hydrogen atom? 1. 6 2. 8 3. 18 4. 32 14. Compared to the radiation that excites a fluorescent material, the wavelength of the radiation emitted by the fluorescent material is 1. greater 2. less 3. same 15. An alpha particle and beta particle deflect in opposite directions as they pass through a magnetic field. If both particles have the same speed, which one deflects more? 1. The alpha particle 2. The beta particle 3. They both deflect the same amount. 2 16. When an unstable nucleus decays by emitting an alpha particle, the atomic number of the nucleus 1. increases by 4 2. decreases by 4 3. increases by 2 4. decreases by 2 17. A radio station broadcasts at a frequency of 95 MHz. How far will this signal travel in 2.0 ms? 1. 190 km 2. 190 Mm 3. 600 km 4. 600 Mm 18. Unpolarized light does not pass through two crossed polarizers, but when a third polarizer is placed between the first two and aligned at an angle of 30º relative to one of the polarizers, light passes through. What is the relative intensity of transmitted light to the incident light? 1. 1/8 2. 3/16 3. 3/32 4. 9/32 19. An object 4.0 cm in height is placed 5.0 cm to the right of a lens with a focal length of +10 cm. What is the position and characteristics of the image? 1. 5.0 cm to the left of the lens, inverted, real, 4.0 cm tall 2. 5.0 cm to the right of the lens, upright, virtual, 4.0 cm tall 3. 10 cm to the left of the lens, inverted, real, 8.0 cm tall 4. 10 cm to the right of the lens, upright, virtual, 8.0 cm tall 20. Santa notices his reflection in a shiny Christmas ornament that is 16 cm in diameter. If his head is 22 cm wide, what is the width of his image in this ornament that is 0.30 m away? 1. 2.6 cm 2. 3.4 cm 3. 4.6 cm 4. 8.0 cm 21. What must be the refractive power of contact lenses used to correct the vision of a person whose far point is 40 cm? 1. +2.5 diopters 2. -2.5 diopters 3. +4.0 diopters 4. -4.0 diopters 22. A He-Ne laser with a wavelength of 632.8 nm illuminates a hair and creates a diffraction pattern on a wall that is 3.50 m away. If the width of the bright central maximum is 6.0 cm, what is the approximate width of the hair? 1. 3.7 μm 2. 37 μm 3. 11 μm 4. 74 μm 3 23. What is the thickness of a soap bubble film (n = 1.38) that results in constructive interference when reflected light with wavelength 550 nm illuminates this film? 1. 138 nm 2. 200 nm 3. 300 nm 4. 275 nm 24. Two spaceships are approaching a planet from opposite directions, each traveling at half the speed of light relative to the planet. How fast do the spaceships appear to be traveling relative to each other? 1. 0.5 c 2. 0.8 c 3. 0.9 c 4. 1.0 c 25. An astronaut moving away from Earth at 0.25 c measures her pulse rate to be 75 beats per minute. What would an Earth-based observer say is her heart rate? 1. 73 bpm 2. 75 bpm 3. 77 bpm 26. A He-Ne laser emits light with a wavelength of 632.8 nm. What is the energy of a single photon from this laser? 1. 1.96 eV 2. 2.62 eV 3. 3.14 eV 4. 5.24 eV 27. If you stand 10 m away from a 60 W light bulb, approximately how many photons enter your eye each second while looking at the light? (Assume that the light radiates uniformly in all directions with an efficiency of 10% at the peak wavelength of 650 nm and that your pupil has a diameter of about 5 mm.) 1. 3 x 1011 2. 1 x 1012 3. 5 x 1014 4. 2 x 1019 28. How much energy must a photon have to excite a hydrogen atom from its ground state to the n = 2 state? 1. 3.40 eV 2. 6.80 eV 3. 10.2 eV 4. 13.6 eV 29. The half-life of radon is 3.83 days. If a sample contains 6.00 x 108 radon atoms, how many radon atoms remain after 12.0 days? 1. 6.84 x 107 2. 7.67 x 107 3. 7.29 x 108 4. 6.82 x 106 4 Equations and conversion factors: (from Physics, 2nd ed. by J. Walker, Ch. 19-32) F E qo F qE F k Q I t V s q r2 E q1 q 2 r2 Q V L R A Ek C V IR Req R1 R2 R3 EA cos C o A o V U 12 CV 2 B2 uB 2 μo U 12 LI 2 q (t ) Q(1 e t / ) C eq C1 C 2 C 3 1 Req 1 R1 1 R2 U qo V u E 12 o E 2 d P IV q encl RC q (t ) Qe t / 1 C eq 1 C1 1 C 2 kq r L R F qvB sin F ILB sin NIAB sin BA cos II I N o I F o 1 2L Bwire o Bloop Bsolenoid o nI L o n 2 Al 2d 2r 2R I N L rod Bvl sin NBA sin t I (1 e t / ) t t R V 1 x rms 12 x max I rms rms Z R 2 ( X L X C ) 2 X C X L L Z C I S VP N P v1 v 2 1 o 2f Pav I rmsVrms cos v I P VS NS 1 v1v 2 / c 2 LC u u E u B 12 o E 2 I 12 I o f ' f 1 u / c c f c 3.00 10 8 m/s B2 B2 oE2 2 μo μo I I o cos 2 n1 sin 1 n 2 sin 2 Magnifying glass : M np 1 f obj. Telescope : M total 1/ 1 v 2 / c 2 E hf En t t o r (1.2 10 15 m) A1 / 3 n2 Z M N f 1 4o m- f number d sin m m mo p x x h / 2 t1 / 2 Pav di do f D Microscope : M total L Lo / N N o e t k n2 n1 p mo vγ L l(l 1 ) ln 2 I av c n c v r. p. 1 f di N f obj. f eye. sin 1.22 Et h / 2 a o 5.29 10 11 m o 8.85 10 12 C 2 /(N m 2 ) e 1.602 10 19 C tan B E cB p U /c 1 1 1 do di f L f obj. f eye. f eye. rn a o n2 n1 N f p E/c h/ p ke2 Z 2 2a o n 2 I uc f mirror 12 R sin c c 1/ ε o μ o D E mc 2 h 6.63 10 -34 J s h 2 L z ml h 2 1 u 1.660540 10 27 kg o 4 10 7 T m/A mp 1.67 10 27 kg 8.99 10 9 N m 2 /C 2 me 9.11 10 31 kg 5