Q. If the kinetic energy of a body is increased 2 times , its momentum will
A) Half
B) Remain unchanged
C) Be doubled
D) increase$\ \sqrt{2}$ times
Explanation
(d) Kinetic energy of particle ,$k = \frac{p_{1\ \ }^{2\ \ }}{2m}$
$p_{1}^{2} = 2mk^{'}$
When kinetic energy =2k
$p_{2}^{2} = 2m \times 2k,p_{2}^{2} = 2p_{1}^{2},p_{2} = \sqrt{2p_{1}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.