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A particle of mass m is executing SHM ab...

A particle of mass m is executing SHM about its mean position. The total energy of the particle at given instant is

A

`(pi^(2)mA^(2))/(T^(2))`

B

`(2pi^(2)mA^(2))/(T^(2))`

C

`(4pi^(2)mA^(2))/(T^(2))`

D

`(8pi^(2)mA^(2))/(T^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
`E=(1)/(2)momega^(2)A^(2)=(m4pi^(2)A^(2))/(T^(2))=(4pi^(2)mA^(2))/(T^(2))`
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Knowledge Check

  • A particle of mass m executing S.H.M. about its mean position. The total energy of the particle at given instant is

    A
    `(pi^2mA^2)/(T^2)`
    B
    `(2pi^2mA^2)/(T^2)`
    C
    `(4pi^2mA^2)/(T^2)`
    D
    `(8pimA^2)/(T^2)`

  • Acceleration of a particle, executing SHM, at it’s mean position is

    A
    Infinity
    B
    Varies
    C
    Maximum
    D
    Zero

  • At the mean position, the potential energy of a particle performing S.H.M. is

    A
    minimum
    B
    in between minimum and maximum
    C
    maximum
    D
    half of maximum value

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