Two particles of equal masses have ratio...

Two particles of equal masses have ratio of their linear momenta as 2:3. The ratio of kinetic energies will be

A

`4:9 `

B

`2:3`

C

`sqrt(2):sqrt(3)`

D

`3:2`

Verified by Experts

The correct Answer is:

A

As `p^2 = 2 mK`
`(2/3)^2 = (2mk_1)/(2mk_2) = (k_1)/(k_2)`
`therefore (k_1)/(k_2) =4/9`

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