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Two particles with kinetic energies in t...

Two particles with kinetic energies in the ratio 4:1 possess equal linear momentum. The ratio of their masses is

A

`1:2 `

B

`1:4`

C

`2:1 `

D

`16:1`

Text Solution

Verified by Experts

The correct Answer is:
B

`A//q, m_1v_1 = m_2v_2 implies (v_1)/(v_2) = (m_1)/(m_2)`
Now `(1/2 m_1v_1^2)/(1/2 m_2v_2^2) = 4/1`
`implies (m_2)/(m_1) = 4/1`
`implies m_1 : m_2 = 1:4`
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