Question

A body moves with 0.2c velocity. The ratio of the moving mass to the rest mass is
a) 1.2
b) 1.02
c) 0.2
d) 1.0

Answer 1

Answer:

qwerty

Explanation:

Answer 2

Answer:

The ratio of the moving mass to the rest mass is 1.02 i.e. option (b).

Explanation:

To solve this question we first need to know the relation between moving mass and rest mass i.e.

$m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}} }$           (1)

Where,

m=mass of the object in motion

mo=rest mass of the object

v=velocity of the body with which it is moving

c=speed of light

As per the question,

v=0.2c     (2)

By substituting (2) in equation (1) we get;

$\frac{m}{m_0}=\frac{1}{\sqrt{1-\frac{(0.2c)^2}{c^2}}}$

$\frac{m}{m_0}=\frac{1}{0.98}=1.02$

Hence, the ratio of the moving mass to the rest mass is 1.02 i.e. option (b).