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A particle moves on the X-axis according...

A particle moves on the X-axis according to the equation `x=x_0 sin^2omegat`. The motion simple harmonic

A

with amplitude `x_(0)//2`

B

with amplitude `2x_(0)`

C

with the period `(2x)/(omega)`

D

with the period `(pi)/(omega)`

Text Solution

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The correct Answer is:
A, D
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Knowledge Check

  • A particle moves on the X- axis according to the equation x = x_(0) sin^(2)omegat . The motion is simple harmonic

    A
    with amplitude `x_(0)//2`
    B
    with amplitude `2x_(0)`
    C
    with the period `(2x)/(omega)`
    D
    with the period `(pi)/(omega)`

  • A particle moves along the x-axis according to the equation x=a sin omega t+b cos omega t . The motion is simple harmonic with

    A
    time period `2pi//omega`
    B
    amplitude `sqrt(a^2+b^2)`
    C
    amplitude a+b
    D
    amplitude a-b

  • A particle moves on y-axis according to the equation y = A +B sin omegat . Amplitude of motion is

    A
    `A`
    B
    `B`
    C
    `sqrt(A^(2)+B^(2))`
    D
    `A -B`