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Two bodies of different masses m(1) and ...

Two bodies of different masses `m_(1)` and `m_(2)` have equal momenta. Their kinetic energies `E_(1)` and `E_(2)` are in the ratio

A

`m_(1):m_(2)`

B

`m_(2):m_(1)`

C

`sqrt(m_(1)):sqrt(m_(2))`

D

`m_(1)^(2):m_(2)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P=sqrt(2mE)therefore P prop sqrt(m) " "` (if E = const.)`" " therefore (P_(1))/(P_(2))=sqrt((m_(1))/(m_(2)))`
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