A small particle of mass ` m` is projected at an angle `theta` with the ` x`- axis with an initial velocity ` v_(0)` in the ` x-y `plane as shown in the figure . At a time ` t lt ( v_(0) sin theta)/(g) `, the angular momentum of the particle is where `hat (i) , hat (j) and hat(k)` are unit vectors along `x , y and z` - axis respectively.
A
`-mgv_(0)t^(2)cos thetahatj`
B
`mgv_(0)t cos theta hatk`
C
`-(1)/(2)mgv_(0)t^(2)cos theta hatk`
D
`(1)/(2)mgv_(0) t^(2)cos theta hati`
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The correct Answer is:
C
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