The coordinates of the following events in an observer's inertial frame of reference are as follows:
Event 1 : t1 = 0, x1 = 0 : A rocket with uniform velocity 0.5c crosses the observer at origin along x-axis
Event 2: t2 = T, x2 = 0: The observer sends a light pulse towards the rocket
Event 3 : t3, x3 : The rocket receives the light pulse
The values of t3, x3 respectively are
1
2T, cT
2
\(2 T, \frac{c}{2} T \)
3
\(\frac{\sqrt{3}}{2} T, \frac{2}{\sqrt{3}} c T \)
4
\(\frac{2}{\sqrt{3}} T, \frac{\sqrt{3}}{2} c T \)