Question

A crew on a spacecraft watches a movie that is two hours long. The spacecraft is moving at high speed through space. An Earth-based observer watching the movie screen on the spacecraft through a powerful telescope measures the duration of the movie to be _______ two hours.

Answer 1

Answer:

The duration of the movie is longer than 2 hrs.

Explanation:

Given:

The duration of the movie observed by the crew on the spacecraft is 2 hrs.

According to time-dilation formula:

$t = \dfrac{t_{0}}{\sqrt{1 - \dfrac{v^{2}}{c^{2}}}}$

Here, $t$ is the required time, $t_{0}$ is the original time, $v$ is the velocity of the spacecraft and $c$ is the velocity of light.

Since $v<<c$, so $t_{0} > t$.

So the time required will be large.