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A particle of mass 2 mg located at the p...

A particle of mass `2 mg` located at the position `(hat i+ hat k) m` has a velocity `2(+ hat i- hat j + hat k) m//s`. Its angular momentum about `z-`axis in `kg-m^(2)//s` is :

A

zero

B

`+ 8`

C

`12`

D

` - 8`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec L = vec r xx vec P`
`vec L = (hat i + hatj) xx (4 hat i - 4 hatj + 4 hat k) = |{:(hat i,hat j,hat k,,),(1,1,0,,),(4,-4,4,,):}|`
`vec L = 4 hat i - 4 hat j -8 hat k rArr L_(z) = -8 kg-m^(2)//s`.
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