Question

A rocket has a velocity of 0.6c ; velocity of light with respect to rocket is
1. 0.5c
2. 1.6c
3.0.4c
4.c​

Answer 1

Answer:

c

Explanation:

because it is the velocity of the rocket light

Answer 2

Answer:

Velocity of light with respect to rocket is also equals to c.

Explanation:

Given a rocket has a velocity, v= 0.6c

Velocity of light, u = c

From the Lorentz velocity transformation equation, the relative velocity of one with the other is given by

$u^{'}=\dfrac{u-v}{1-\dfrac{uv}{c^{2} } }$      

Substituting the values for u and v, the velocity of light with respect to the rocket is

$u^{'}=\dfrac{c-0.6c}{1-\dfrac{c\times 0.6c}{c^{2} } }$

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

Velocity of light with respect to rocket is also equals to c, means to say that the velocity of light is invariant in any system.

Therefore, the correct answer is option 4.