The kinetic energy of a body becomes four times its initial value. The new momentum will be ..............:

Options

A. same as the initial value
B. twice the initial value
C. thrice the initial value
D. four times the initial value

Answer

B

Explanation

`K prop p ^(2)`
`implies ( P _(2))/(P _(1)) = sqrt ((K _(2))/( K _(1))) = sqrt4`
`implies p _(2) = 2p_(1)`