If the kinetic energy of a body increases by `0.1 %` the percent increase of its momentum will be

Options

A. 0.1
B. 0.01
C. 0.001
D. 0.0005

Answer

D

Explanation

Kinetic energy (E) and linear momentum are related as,
`E = (p^(2))/(2m)`
`therefore " " (Delta E)/(E) = (2 Delta p)/(p)`
or `" " (Delta p)/(p) xx 100 = (1)/(2) xx (Delta E)/(E) xx 100`
= `(1)/(2) xx 0.1% `
= 0.05 %