Question

If the K.E. of a body is increased by $300\%$, its momentum will increase by _______.

• A. $100\%$
• B. $150\%$
• C. $\sqrt{300}\%$
• D. $175\%$

Answer 1

The correct option is A $100\%$

Kinetic energy is given by

K=V²/(2M)……………(1)

When KE increases by 300%, the value of KE becomes 4 times it's original value.

from equation (1) that v becomes 2V

So, V increases by 100%.