Question

The inertial frame 𝑆' is moving away from the inertial frame S with a speed 𝑣 = 0.6𝑐 along the negative x-direction (see figure). The origins 𝑂’ and 𝑂 of the frames coincide at 𝑡=𝑡’=0. As observed in the frame 𝑆′, two events occur simultaneously at two points on the 𝑥′-axis with a separation of ∆𝑥′=5m. If, ∆𝑡 and ∆𝑥 are the magnitudes of the time interval and the space interval, respectively, between the events in S, then which of the following statements is(are) correct?

(c = 3×108 m/s)

• A. ∆𝑡=12.5ns
• B. ∆𝑡=4.2ns
• C. ∆𝑥=10.6m
• D. ∆𝑥=6.25m

Answer 1

Answer: (A), (D)

∆𝑡=12.5ns

Answer 2

The correct options are: A and D