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The kinetic energy of a body increases b...

The kinetic energy of a body increases by 300% due to change in its velocity. The momentum increases by

A

`100% `

B

`200% `

C

`sqrt(300)% `

D

`400% `

Text Solution

Verified by Experts

The correct Answer is:
A
Let initial `KE = 100 alpha`
Final `KE = (100 + 300) alpha = 400 alpha`
`(p_1^2)/(p_2^2) = (2mk_1)/(2mk_2) = (100 alpha)/(400 alpha) = 1/4`
or `(p_2)/(p_1) = 2/1 implies p_2 = 2p_1`
Percentage increament in `p = (p_2 - p_1)/(p_1) xx 100`
`= ("Change in momentum")/("Original momentum") xx 100`
`(2p_2 - p_1)/(p_1) xx 100 = 100%`
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