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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?

A

`100%`

B

`150%`

C

`sqrt300%`

D

`175%`

Text Solution

Verified by Experts

The correct Answer is:
A
`K=P^2/(2m) implies P = sqrt(2mK) implies P prop sqrtK`
`implies P_1/P_2 =sqrt((K)/(4K)) =1/2`
`implies P_2 = 2P_1 = P_1+P_1`
Moment is increase by 100%.
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