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Two bodies of masses 4 kg and 5 kg are m...

Two bodies of masses 4 kg and 5 kg are moving with equal momentum. Then the ratio of their respective kinetic energies is 

A

`4:5`

B

`2:1`

C

`1:3`

D

`5:4`

Text Solution

Verified by Experts

The correct Answer is:
D

Kinetic energy of a body, `K = (p^2)/(2m)`.
where p is the momentum and m is the mass of the body.
As `p_1 = p_2` (Given)
`:. (K_1)/(K_2) = (m_2)/(m_1) = 5/4`.
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