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Two bodies of masses m and 4m are moving...

Two bodies of masses `m` and `4m` are moving with equal linear momenta. The ratio of their kinetic energies is `:`

A

`1 : 2`

B

`1 : 4`

C

`4 : 1`

D

`1 : 1`

Text Solution

Verified by Experts

The correct Answer is:
`(1)`
`p = sqrt 2mE`
For same K.E.,
` p infty sqrt m`
`p_(1)/p_(2) = sqrt(m_(1))/(m_(2)) = sqrt (m)/(4m) = 1 : 2`
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