Question

A stationary telescope monitoring a rocket ship observes the ship emitting flashes of light at 1-second intervals. If the ship begins moving toward the telescope at speed 0.6c, with what period does the telescope observe the light flashes?

a.) 0.5 sec

b.) 2 sec

c.) 0.8 sec

d.) 1 sec

e.) 1.2 sec

Answer 1

Answer:

The period of the telescope observe the light flashes is 1.2 sec.

(e) is correct option.

Explanation:

Given that,

Flashes of light = 1 sec

Speed of telescope =0.6c

We need to calculate the period of the telescope observe the light flashes

Using formula of period

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

Put the value into the formula

$t=\dfrac{1}{\sqrt{1-\dfrac{(0.6)^2\times c^2}{c^2}}}$

$t=\dfrac{1}{\sqrt{1-(0.6)^2}}$

$t=1.2\ sec$

Hence, The period of the telescope observe the light flashes is 1.2 sec.