hmwk-5-L07(2) - PHY 317L April 10, 2007 HOMEWORK # 5 DUE on...

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PHY 317L April 10, 2007 HOMEWORK # 5 DUE on April 23, 2007 by 8:00pm Instructions: Use a SCANTRON ANSWER SHEET to mark answers. Provide your NAME (last, first), UT EID , and UNIQUE NUMBER of the course. Sign and date the scantron. The answer sheets must be placed in the PHY 317L box (by bulletin board outside PAI 4.42) by 8:00pm on Monday, April 23, 2007. Late homework will not be graded. Answer the following 57 questions: 1. A basic postulate of Einstein's theory of relativity is: A) moving clocks run more slowly than when they are at rest B) moving rods are shorter than when they are at rest C) light has both wave and particle properties D) the laws of physics must be the same for observers moving with uniform velocity relative to each other E) everything is relative 2. A consequence of Einstein's theory of relativity is: A) moving clocks run more slowly than when they are at rest B) moving rods are longer than when they are at rest C) light has both wave and particle properties D) the laws of physics must appear the same to all observers moving with uniform velocity relative to each other E) everything is relative 3. Two events occur simultaneously on the x axis of reference frame S,one at x = a and the other at x = + a . According to an observer moving in the positive x direction: A) the event at x = + a occurs first B) the event x = a occurs first C) either event might occur first, depending on the value of a and the observer's speed D) the events are simultaneous E) none of the above Page 1
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4. An observer notices that a moving clock runs slow by a factor of exactly 10. The speed of the clock is: A) 0.100 c B) 0.0100 c C) 0.990 c D) 0.900 c E) 0.995 c 5. A meson moving through a laboratory of length x at a speed v decays after a lifetime T as measured by an observer at rest in the laboratory. If the meson were at rest in the laboratory its lifetime would be: A) T (1 – v / c ) B) T (1 – v / c ) –1 C) T (1 – v 2 / c 2 ) –1/2 D) T (1 – v 2 / c 2 ) 1/2 E) ( T vx / c 2 )(1 – v 2 / c 2 ) –1/2 6. Pi mesons at rest have a half-life of T. If a beam of pi mesons is traveling at a speed of v = β c , the distance in which the intensity of the beam is halved is: A) c T (1 – 2 ) –1/2 B) c T [(1 + )/(1 – )] 1/2 C) vT D) (1 – 2 ) 1/2 vT E) none of the above 7. A meter stick moves in the direction of its length through a laboratory. According to measurements taken in the laboratory, its length is 0.31 m. The speed of the meter stick relative to the laboratory is: A) 0.096 c B) 0.31 c C) 0.69 c D) 0.83 c E) 0.95 c Page 2
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8. Star S1 is moving away from us at a speed of 0.8 c . Star S2 is moving away from us in the opposite direction at a speed of 0.5 c . The speed of S1 as measured by an observer on S2 is: A) 0.21 c B) 0.5 c C) 0.93 c D) 1.3 c E) 2.17 c 9. A source at rest emits light of wavelength 500 nm. When it is moving at 0.90 c toward an observer, the observer detects light of wavelength: A) 26 nm B) 115 nm C) 500 nm D) 2200 nm E) 9500 nm 10. Visible light, with a frequency of 6.0 × 10 14 Hz, is reflected from a spaceship moving directly away at a speed of 0.90 c . The frequency of the reflected waves observed at the source is: A) 3.2 × 10 13 Hz B) 1.4 × 10 14 Hz C) 6.0 × 10 14 Hz D) 2.6 × 10 15
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This note was uploaded on 09/13/2008 for the course PHY 317k taught by Professor Kopp during the Fall '07 term at University of Texas at Austin.

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hmwk-5-L07(2) - PHY 317L April 10, 2007 HOMEWORK # 5 DUE on...

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