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TEST04-solutions

# TEST04-solutions - Version 009 TEST04 TSOI(92515 This...

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Version 009 – TEST04 – TSOI – (92515) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points What do the s , p , d , f , symbols correspond to? 1. n - quantum numbers. 2. m - quantum numbers. 3. m j - quantum numbers. 4. - quantum numbers. correct 5. m s - quantum numbers. Explanation: E n = - k e e 2 2 a 0 1 n 2 = - 13 . 6 n 2 eV where n = 1 , 2 , 3 , ... = 0 , 1 , 2 , ..., n - 1 m = - , - + 1 , ..., - 1 , L = ( + 1) ¯ h 2 L z = m ¯ h S = 3 2 ¯ h S z = m s ¯ h = ± 1 2 ¯ h μ s = - e m S μ sz = ± e ¯ h 2 m Δ = ± 1 Δ m = 0 , ± 1 s , p , d , f denote angular momentum quan- tum states. 002 10.0 points An unidentified flying object (UFO) flashes across the night sky. A UFO enthusiast on the top of Pike’s Peak determines that the length of the UFO is 119 m along the direction of motion. If the UFO is moving with a speed of 0 . 521 c , how long is the UFO according to its pilot? 1. 70.4366 2. 64.3328 3. 179.103 4. 142.405 5. 139.417 6. 166.181 7. 170.96 8. 255.66 9. 104.732 10. 76.8296 Correct answer: 139 . 417 m. Explanation: Let : L = 119 m and v = 0 . 521 c . γ = 1 1 - v 2 c 2 = 1 1 - (0 . 521) 2 = 1 . 17157 . The length measured by pilot (at rest to ship) is = γ L = (1 . 17157)(119 m) = 139 . 417 m . keywords: 003 10.0 points Pretend that the starship Enterprise is some- how traveling at c with respect to the Earth, and it fires a drone forward a speed c with respect to itself. Using the equation for the relativistic ad- dition of velocities, what is the speed of the drone with respect to the Earth? 1. 2 c

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Version 009 – TEST04 – TSOI – (92515) 2 2. c correct 3. 0 . 5 c 4. 0 . 98 c Explanation: Let : v 1 = v 2 = c . The speed of the drone is v = v 1 + v 2 1 + v 1 v 2 c 2 = c + c 1 + c · c c 2 = 2 c 1 + 1 = c . 004 10.0 points Due to the length contraction, you notice that a passing train appears to be shorter than when it is stationary. What do the people in the train observe about you? 1. They observe you to appear shorter than when you are at stationary correct 2. They observe you to appear longer than when you are at stationary.
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TEST04-solutions - Version 009 TEST04 TSOI(92515 This...

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