Question

If the linear momentum of a body is doubled, Its Kinetic energy gets:

• A. halved
• B. doubled
• C. quardrupled
• D. unaffected

Answer 1

The correct option is C quardrupled

Let the mass of the body be denoted by 'M' and velocity be represented by 'V'. If 'P' denotes the momentum of the body.
$P=MV$
if momentum gets doubled,If no mass was added, the velocity must've doubled.
i.e-$V=2V$
The kinetic energy is given by
$\frac{1}{2}m{V}^2$
so, the kinetic energy increased by a factor of 4.
hence, option C is correct.