Question

If the kinetic energy is increased by $300\%$, the momentum will increases by:-

• A. $100\%$
• B. $200\%$
• C. $150\%$
• D. $0$%

Answer 1

The correct option is A $100\%$

Let initial $K.E=K$, after 300% increment K.E will become $4K$

$P=\sqrt{2mk}$

$P\propto \sqrt{K}$

hence

$P_f=2P$

percentage increment $=\frac{\Delta P}{P}\times 100=100\%$