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A particle of mass 5g is moving with a u...

A particle of mass `5g` is moving with a uniform speed of `3sqrt2 cm//s` in the `x-y` plane along the line `y=x+4`. The magnitude of its angular momentum about the origin in `g cm^(2)//s` is

A

zero

B

`60`

C

`30`

D

`30/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
B

From the diagram,
`OC=OA sin45^(@)=4xx1/(sqrt(2))=2sqrt(2)cm` Angular momentum
`=mv(OC)=5(3sqrt(2))(2sqrt(2))= 60 gm cm^(2)s^(-1)`
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