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The relation between kinetic energy K an...

The relation between kinetic energy K and linear momentum p of a particle is represented by

A

`K^2 = 2 mp`

B

`2K^2 = mp `

C

`p^2 = 2 mk `

D

`2 mK =p`

Text Solution

Verified by Experts

The correct Answer is:
C
Kinetic energy `K = 1/2 mv^2,` m = Mass,
v = Velocity Momentum p= mv
Eliminate v, put `v = p/m` in expression of K.
`K = 1/2 m ((p^2)/(m^2))`
`K = 1/2 (m xx p^2)/(m^2)`
`therefore p^2 = 2mK`
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