If KE of a body increases by 300%, by wh...

If KE of a body increases by `300%`, by what `%` will the linear momentum of the body increase?

`20%`

`50%`

`100%`

`200%`

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Verified by Experts

The correct Answer is:

(c ) Final kinetic energy `(K_f) = "initial kinetic energy" (K_i) + 300 %` of` K_i`
` = K_i + ((300)/(100))K_i = 4 K_i`
Clearly, `K_f| K_i = 4`
As `P prop sqrtK, (P_f)/(P_i) = sqrt((K_f)/(K_i)) = sqrt4 = 2 or P_f = 2p_i or p_f - p_i = 2p_i - p_i = p_i`
Thus % age increases in momentum `= (P_f - p_i)/(p_i)xx 100 = 100%`

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