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A stone is dropped from a height h . It ...

A stone is dropped from a height `h` . It hits the ground with a certain momentum `P` . If the same stone is dropped from a height `100%` more thanthe preyiious height, the momentum when it hits the ground will change by

A

`68%`

B

`41%`

C

`200%`

D

`100%`

Text Solution

Verified by Experts

The correct Answer is:
B
`v=sqrt(2gH)implies v prop sqrtH`
`v_1/v_2 = sqrt(H_1/H_2) = sqrt(H/(2H))=1/sqrt2`
`v_2 = sqrt2v_1 = 1.41 v_1`
`:.` Change in momentum = 41%.
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