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Physics
When the kinetic energy of a body is doubled, its momentum increases by ...... times.
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Q. When the kinetic energy of a body is doubled, its momentum increases by ...... times.
KEAM
KEAM 2005
A
$ \sqrt{2} $
B
$ 2 $
C
$ 4 $
D
$ 2\sqrt{2} $
E
$ \frac{1}{\sqrt{2}} $
Solution:
$ p=\sqrt{2m{{E}_{k}}} $
If $ {{E}_{k}} $ is doubled then p increases by $ \sqrt{2} $ times.