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A 4 kg mass and a 1 kg mass are moving w...

A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

A

`1:2`

B

`1:1`

C

`2:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
C
`E=(1)/(2) mv^(2) therefore 2mE = m^(2) v^(2)`
` therefore ` Momentum `(mv) = (2mE )^(1//2)`
` therefore ` For the same `K.E., P prop sqrt(m)`
` therefore (P_(1))/(P_(2))=sqrt((4)/(1))=(2)/(1)`
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