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If the linear momentum is increased by ...

If the linear momentum is increased by 50%, then KE will be increased by :

A

0.5

B

1

C

1.25

D

0.25

Text Solution

Verified by Experts

The correct Answer is:
C

Let `p_(1) = p, p_(2)=p_(1)+50%` of `p_(1)=p_(1) + p_(t)/2 = (3p_(1)/(2)`
`E alpha p^(2)`
`rArr E_(2)/E_(1) = (p_(2)/p_(1))^(2) = ((3p_(1)//2)/p_(1))^(2) = 9/4`
`rArr E_(2) = 2.25E_(1) = E_(1) + 1.25E_(1)`
`therefore E_(2) = E_(1) + 125% of E_(1)`
i.e., Kinetic energy will increase by 125%.
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