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When a particle oscillates in simple har...

When a particle oscillates in simple harmonic motion, both in potential energy and kinetic energy vary sinusoidally with time. If `v` be the frequency of the motion of the particle, the frequency associated with the kinetic energy is `:`

A

`4v`

B

`2v`

C

`v` is highest when the spring comes back to natural position

D

`(v)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`x=A sin wt`
`K.E.=(1)/(2)KA^(2)W^(2)cos^(2)wt`
`PE=(1)/(2)mA^(2)w^(2)sin^(2)wt`
frequency of kinetic energy is `2V` Ans. `(B)`
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Knowledge Check

  • For simple Harmonic Oscillator, the potential energy is equal to kinetic energy

    A
    twice during each cycle
    B
    four times during each cycle
    C
    when x = 0
    D
    whe x = a
  • The paricle executing simple harmonic motion had kinetic energy and the total energy are respectively:

    A
    `(K_(0))/(2)`and`K_(0)`
    B
    `K_(0)`and `2K_(0)`
    C
    `K_(0)`and `K_(0)`
    D
    0 and `2K_(0)`
  • The potential energy of a particle executing SHM varies sinusoidally with frequency f . The frequency of oscillation of the particle will be

    A
    `(f)/(2)`
    B
    `(f)/sqrt(2)`
    C
    `f`
    D
    `2f`
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