Relative to reference frame 1, reference frame 2 moves with speed v in the negative x direction. When the origins of the two frames coincide the clocks in both frames are set to zero. An event occurs at coordinate x1 and time t1 as measured in reference frame 1 and at coordinate x2 and time t2 as measured in frame 2. If ![Relative to reference frame 1, reference frame 2 moves with speed v in the negative x direction. When the origins of the two frames coincide the clocks in both frames are set to zero. An event occurs at coordinate x<sub>1</sub> and time t<sub>1</sub> as measured in reference frame 1 and at coordinate x<sub>2</sub> and time t<sub>2</sub> as measured in frame 2. If , then the coordinates and times of the event are related by: A) x<sub>2</sub> = \gamma [x<sub>1</sub> - vt<sub>1</sub>] and t<sub>2</sub> = \gamma [t<sub>1</sub> - vx<sub>1</sub> / c<sup>2</sup>] B) x<sub>2</sub> = \gamma [x<sub>1</sub> - vt<sub>1</sub>] and t<sub>2</sub> = \gamma [t<sub>1</sub> + vx<sub>1</sub> / c<sup>2</sup>] C) x<sub>2</sub> = \gamma [x<sub>1</sub> + vt<sub>1</sub>] and t<sub>2</sub> = \gamma [t<sub>1</sub> - vx<sub>1</sub> / c<sup>2</sup>] D) x<sub>2</sub> = \gamma [x<sub>1</sub> + vt<sub>1</sub>] and t<sub>2</sub> = \gamma [t<sub>1</sub> + vx<sub>1</sub> / c<sup>2</sup>] E) none of the above are correct](https://d2lvgg3v3hfg70.cloudfront.net/TB3976/11eaafba_aefe_23fa_a7a5_7d17668c9f8a_TB3976_11.jpg)
, then the coordinates and times of the event are related by:
A) x2 = [x1 - vt1] and t2 = [t1 - vx1 / c2]
B) x2 = [x1 - vt1] and t2 = [t1 + vx1 / c2]
C) x2 = [x1 + vt1] and t2 = [t1 - vx1 / c2]
D) x2 = [x1 + vt1] and t2 = [t1 + vx1 / c2]
E) none of the above are correct
Correct Answer:
Verified
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