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

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

(e) is correct option.

Step-by-step 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=\frac{T}{\sqrt{1-(v^2)/(c^2)}}`

Put the value into the formula

`t=\frac{1}{\sqrt{1-((0.6)^2* c^2)/(c^2)}}`

`t=(1)/(√(1-(0.6)^2))`

`t=1.2\ sec`

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