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A particle executes linear simple harmonic motion with an amplitude of `3 cm`. When the particle is at `2 cm` from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is

A

`(sqrt5)/(pi)`

B

`(sqrt5)/(2pi)`

C

`(4pi)/(sqrt5)`

D

`(2pi)/(sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A particle executes linear simple harmonic motion with an amplitude of 2 cm . When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

    A
    `1/(2pisqrt3)`
    B
    `2pisqrt3`
    C
    `(2pi)/(sqrt3)`
    D
    `(sqrt3)/(2pi)`

  • A particle executies linear simple harmonic motion with an amplitude 3cm .When the particle is at 2cm from the mean position , the magnitude of its velocity is equal to that of acceleration .The its time period in seconds is

    A
    `sqrt(5)/(2 pi)`
    B
    `(4pi)/(sqrt(5))`
    C
    `(2pi)/(sqrt(3))`
    D
    `sqrt(5)/(pi)`

  • A particle executes simple harmonic motion with an amplitude of 5cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then its periodic time in seconds is :

    A
    `(7)/(3)pi`
    B
    `(8pi)/(3)`
    C
    `(3)/(8)pi`
    D
    `(4pi)/(3)`
    • AAKASH INSTITUTE-OSCILLATIONS-Assignment (Section C) (PREVIOUS YEARS QUESTIONS)
    1. A particle executes linear simple harmonic motion with an amplitude of...

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    2. A body of mass m is attached to the lower end of a spring whose upper ...

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    3. A particle is executing a simple harmonic motion. Its maximum accelera...

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    4. A particle is executing SHM along a straight line. Its velocities at d...

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    5. When two displacement represented by y(1) = a sin (omega t) and y(2) =...

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    6. The oscillation of a body on a smooth horizontal surface is represente...

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    7. Out of the following functions representing motion of a particle which...

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    8. Two particles are oscillating along two close parallel straight lines ...

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    9. The displacement of a particle along the x-axis is given by x = a sin^...

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    10. The period of oscillation of mass M suspended from a spring of negligi...

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    11. A simple pendulum performs simple harmonic motion about x=0 with an am...

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    12. Which one of the following equations of motion represents simple harmo...

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    13. Two simple harmonic motion of angular frequency 100and 1000 rads^(-1) ...

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    14. A point performs simple harmonic oscillation of period T and the equat...

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    15. A mass of 2.0 kg is put on a flat pan attached to a vertical spring fi...

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    16. The phase difference between the instantaneous velocity and acce...

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    17. The particle executing simple harmonic motion has a kinetic energy K(0...

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    18. A particle executes simple harmonic oscillation with an amplitudes a. ...

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    19. A rectangular block of mass m and area of cross-section A floats in a ...

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    20. the circular motion of a particle with constant speed is

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