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Two bodies A and B having masses in the ...

Two bodies A and B having masses in the ratio 3:1, possesses the same kinetic energy. The ratio of their linear momentum is

A

`1:3 `

B

`3:1`

C

`sqrt(3):1`

D

`1:sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
According to the question, `1/2 m_1v_1^2 = 1/2 m_2v_2^2`
`implies (m_1)/(m_2) = (v_2^2)/(v_1^2)`
Also, `(m_1)/(m_2) = 3/1`
`therefore (m_1v_1)/(m_2v_2) = (m_1)/(m_2) xx sqrt((m_2)/(m_1)) = 3/1 xx sqrt(1/3) = sqrt(3):1`
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