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A particle of mass m is moving in yz-pla...

A particle of mass `m` is moving in yz-plane with a unifrom velocity `v` with its trajectory running parallel to +ve y-axis and intersecting z-axis at `z = a` Fig. The change in its angular momentum about the origin as it bounces elastically from a wall at y = constant is :

A

`mva hati`

B

`2mva hati`

C

`ymv hati`

D

`2ymvhati`

Text Solution

Verified by Experts

The correct Answer is:
B
Change in linear momentum
`Deltavecp=m(vecv_(f)-vecv_(i))`
or `Deltavecp=m(-vhatj-vhatj)`
or `Deltavecp=-2mvhatj`
Position vector `vecr=yhati+alphahatk`
`:.` Change in angular momentum
`DeltavecL=vecrxxDeltavecp`
`=(yhatj+alphahatk)xx(-2mvhatj)`
or `DeltavecL=2mvahati`
The correct option is (b).
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