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The displacement time graph of a particl...

The displacement time graph of a particle executing an SHM is as shown. Which of the following statements are true?

A

the velocity is maximum at t= T/4

B

the acceleration is maximum at t= T

C

the force is zero at t = T

D

the potential energy equals the total oscillation energy at t = T/2

Text Solution

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The correct Answer is:
A, B, D
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Knowledge Check

  • The displacement -time graph of a particle executing SHM is shown in figure. Which of the following statements is/are true ?

    A
    The force is zero at `t = (3T)/(4)`
    B
    The acceleration is maximum at `t = (4T)/(4)`
    C
    The velocity is maximum at `t = (T)/(4)`
    D
    The `PE` is equal to `KE` osc oscillation at `t = (T)/(2)`

  • The displacement - time graph of a particle executing SHM is shown in figure. Which of the following statements is//are true ?

    A
    The velocity is maximum at `t = T//2`
    B
    The acceleration is maximum at `t = T`
    C
    The force is zero at `t = 3T//4`
    D
    The kinetic energy equals the total oscillation energy at `t = T//2`

  • The displacement time graph of a particle executing S.H.M. is shown in figure. Which of the following statement is // are true ?

    A
    The force is zero at `t=(3T)/(4)`
    B
    The acceleration is maximum at `t=(4T)/(4)`
    C
    The velocity is maximum at `t=(T)/(4)`
    D
    The P.E. is equal to K.E. of oscillation at `t=(T)/(2)`

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    The displacement time graph of a particle executing S.H.M. (in straight line) is shown. Which of the following statements is true?

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