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A particle of mass W is projected with a...

A particle of mass W is projected with a velocity V making an angle of 30° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height `H` is:

A

zero

B

`(mv^(2))/(sqrt(2)g)`

C

`(sqrt(3)mv^(3))/(16g)`

D

`(sqrt(3)mv^(3))/(2g)`

Text Solution

Verified by Experts

The correct Answer is:
C

Here the angular momentain ‘L’ is given by
`L=pr=mvcostheta.H`
`=mvcos30^@xx(v^(2)sin^(2)30^@)/(2g)`
`mv^(3)xxsqrt(3)/2xx1/(4xx2g)=(sqrt(3)mv^(3))/(16g)`
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Knowledge Check

  • A projectile of mass m is projected with a velocity v making an angle 45° with the horizontal. The magnitude of the angular momentum of the projectile about the point of projection when the harticle is at its maximum height h is :

    A
    zero
    B
    `(mv^(3))/(sqrt(2)g)`
    C
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    D
    `(mv^(3))/(4sqrt(2)g)`
  • A projectile is fired with a velocity v at angle theta with the horizontal. The magnitude of the change in momentum between the starting point and the point at which it strikes is given by :

    A
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    B
    2 mv sin `theta`
    C
    2mv
    D
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    A
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