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quiz1-su

# quiz1-su - Physics 2D Quiz#1 Department of Physics UCSD...

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Physics 2D Quiz #1 Department of Physics, UCSD Summer Session II - 2009 Prof. Pathria 7 August 2009 Some Useful Data Speed of light, c = 3 × 10 8 m/s. Lorentz Transformations: x 0 = γ ( x - vt ) t 0 = γ ( t - vx c 2 ) x = γ ( x 0 + vt 0 ) t = γ ( t 0 + vx 0 c 2 ) γ = 1 q 1 - v 2 c 2 Relative Velocity: u 0 = u - v 1 - uv c 2 Law of Addition of Velocities: u = u 0 + v 1+ u 0 v c 2 Doppler effect (for light from a receding source): f = f 0 q 1 - v c 1+ v c Instructions Please write your answers in your blue book, and make sure your secret code number is written on all pages in indelible ink. 1

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1. Consider two systems of reference S and S 0 such that, relative to S , S 0 is in uniform motion with velocity v . Two events E 1 and E 2 are observed in both systems. In S 0 the events occur at the same place but are separated by a time interval of 4 s. In S they occur at different places and are separated by a time interval of 6 s. (a) What is the value of v ? (b) What is the distance by which the two events appear separated in S ?
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quiz1-su - Physics 2D Quiz#1 Department of Physics UCSD...

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