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A particle with the position vector r ha...

A particle with the position vector r has linear momentum p. Which of the following statements is true is respect of its angular momentum L about the origin ?

A

`vecL` acts along `vecr`

B

`vecL` acts along `vecP`

C

L is maximum when `vecP` and `vecr` are parallel

D

L is maximum when `vecP` is perpendicular to `vecr`

Text Solution

Verified by Experts

The correct Answer is:
D
Angular momentum `vecL=vecr xx vecP`
`therefore L=rp sin theta`
`"If "theta=90^(@), r_|_P and L=r P sin 90^(@)=rP`
Thus, `vecrxxvecP` is maximum when `vecP` is perpendicular to `vecr.`
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