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/TB10137/11ee82f1_f9ab_f7fa_8c6b_8d1c8c063cf1_TB10137_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:
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