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A particle of mass m = 5 unit is moving ...

A particle of mass `m = 5` unit is moving with a uniform speed `v = 3 sqrt(2)` unit `XY` plane aong the line `Y = X + 4`. The magnitude of the angular momentum about origin is

A

`40 sqrt(2) unit`

B

`7.5 unit`

C

zero

D

`60 unit`

Text Solution

Verified by Experts

The correct Answer is:
D
In Fig. we have shown the line `Y = X + 4` along which the particle is moving.
Perpendicular distance of this line from the origin,
`r = 4 sin 45^(@) = (4)/(sqrt(2))`
Angular momentum about origin
`L = mvr = 5 xx 3 sqrt(2) xx (4)/(sqrt(2)) = 60 unit`
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