Question

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

Answer 1

Answer:

1.2 because the body moves 0.2C and the mass is converted to rest mass is equal to the 1.2

Answer 2

Given - Velocity = 0.2C

Find - Ratio of moving mass to rest mass

Solution - The ratio of moving mass to rest mass is 1.0

The ratio of moving mass to rest mass is calculated by the formula -

$\frac{m}{mo} = \frac{1}{\sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } }$

In the formula, m is moving mass and mo is rest mass. V is given in the question as 0.2c.

So, keep the values in the formula to find the ratio of m/mo.

$\frac{m}{mo} = \frac{1}{\sqrt{1 - \frac{ {0.2c}^{2} }{ {c}^{2} } } }$

$\frac{m}{mo} = \frac{1}{ \sqrt{1 - 0.04} }$

$\frac{m}{mo} = \frac{1}{ \sqrt{0.96} }$

$\frac{m}{mo} = \frac{1}{1.0}$

Thus, the ratio of moving mass to rest mass is 1.0.