Question

A woman standing on the ground sees a rocket ship move past her at 95% the speed of light. Compared to the rocket at rest, the woman sees the rocket's length as a. longer b. the same c. shorter

Answer 1

As per Einstein's theory of relativity we know that when an object will move with the speed comparable to the speed of light then the length of the object will be different from its length at rest position

This is also known as length contraction theory

As we know here that

$L = L_0\sqrt{1 - \frac{v^2}{c^2}}$

so here we know that

v = 0.95 c

so from above equation we will have

$L = L_0\sqrt{1 - 0.95^2}$

$L = 0.31 L_0$

so here the length will be SHORTER