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A particle of mass m is moving on a circ...

A particle of mass m is moving on a circular path of constant r such that its centripetal acceleration `a_(C)` is varying with time t as `a_(C)=k^(2)rt^(2)`, when k is a constant. Then match the columns of the following data:

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A, B, C, D
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Knowledge Check

  • A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a_(c) is varying with time t as a_(c) = k^(2)rt^(2) , where k is a constant. The power delivered to the particle by the forces acting on it is :

    A
    `2pi mk^(2)r^(2)t`
    B
    `mk^(2)r^(2)t`
    C
    `(mk^(4)r^(2)t^(5))//3`
    D
    Zero

  • A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration a_(c) is varying with the time t as a_(c)=k^(2)r^(3)t^(4) where k is a constant. The power delivered to the particle by the forces acting on it is

    A
    `1/3mk^(2)r^(4)t^(5)`
    B
    `mk^(2)r^(2)t`
    C
    `2mk^(2)r^(4)t^(3)`
    D
    zero

  • A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleratoin a_c , is varying with time t as a_c = k^2 rt^2 , where k is a constant. The power delivered to the particle by the force acting on it is

    A
    `2 pi m k^2 r^2`
    B
    ` mk^2 r^2t`
    C
    `(mk^4 r^2t^5)/3`
    D
    zero