If linear momentum of a body is increased by 50 % Its kinetic energy increases by `………..`

Options

A. 0.5
B. 1.5
C. 1
D. 1.25

Answer

D

Explanation

Kinetic energy `K = (p^(2))/(2m)` But , m is constant
` :. K prop p^(2)`
` :. (K_(2))/(K_(1)) = (P_(2)^(2))/(P_(1)^(2))`
` :. (K_(2)-K_(1))/(K_(1)) xx100 % = (P_(2)^(2)-P_(1)^(2))/(P_(1)^(2)) xx100 % `
` = 5/4 xx100 % = 125 % `