Two events, one on the earth and the other one on the Sun, occur simultaneously in the earth’s frame

Q. Two events, one on the earth and the other one on the Sun, occur simultaneously in the earth’s frame. The time difference between the two events as seen by an observer in a spaceship moving with velocity 0.5c in the earth’s frame along the line joining the earth to the Sun is Δ𝑡, where c is the speed of light. Given that light travels from the Sun to the earth in 8.3 minutes in the earth’s frame, the value of |Δ𝑡| in minutes (rounded off to two decimal places) is _____(Take the earth’s frame to be inertial and neglect the relative motion between the earth and the sun)

Ans: 4.77

Sol: