If the increase in the kinetic energy of a

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If the increase in the kinetic energy of a body is $22\%$, then the increase in the momentum will be ........... $\%$

A

$22$

B

$44$

C

$10$

D

$300$

If the increase in the kinetic energy of a body is $22\%$, then the increase in the momentum will be ........... $\%$

$P = \sqrt {2mE} .$ If m is constant then
$\frac{{{P_2}}}{{{P_1}}} = \sqrt {\frac{{{E_2}}}{{{E_1}}}} = \sqrt {\frac{{1.22E}}{E}} $==> $\frac{{{P_2}}}{{{P_1}}} = \sqrt {1.22} = 1.1$
==>${P_2} = 1.1{P_1}$==> ${P_2} = {P_1} + 0.1{P_1} = {P_1} + 10\% \;{\rm{of }}\;{P_1}$
So the momentum will increase by $10\%$

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