If the K.E. of a particle is doubled, then its momentum will... | PHYSICS - KINETIC ENERGY | SolveeIt | Solveeit

Today, August 19

Question

If the K.E. of a particle is doubled, then its momentum will

A

Remain unchanged

B

Be doubled

C

Be quadrupled

D

Increase $\sqrt { 2 }$ times

Answer

Increase $\sqrt { 2 }$ times

Explanation

Solution

$P = \sqrt { 2 m E }$ ∴ $P \propto \sqrt { E }$

i.e. if kinetic energy of a particle is doubled the its momentum will becomes $\sqrt { 2 }$ times.