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A small particle of mass m is projected...

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`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If x(hat(i) + hat(j) + hat(k)) is a unit vector then x equals ?

    A
    `(1)/(sqrt(3))`
    B
    `pm sqrt(3)`
    C
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    D
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    B
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    C
    `(1)/(sqrt3) (hat(i) + hat(j) + hat(k))`
    D
    `(1)/(sqrt2) (hat(i) + hat(j) + hat(k))`

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