Question

If kinetic energy of a body increases by 0.1%, the per cent increase in its momentum will be ______.

Options

• 10 %

• 1 %

• 0.1 %

• 0.05 %

Answer 1

If kinetic energy of a body increases by 0.1%, the per cent increase in its momentum will be 0.05 %.

Explanation:

Given: % increase in K = 0.1%

For a body of constant mass,

K. E. = `p^2/(2m)`

So, 

p ∝ `sqrt(K. E.)`

If kinetic energy increases by 0.1%, momentum increases by half of it:

= `0.1/2`

= 0.05 %