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A body of mass 0.01 kg executes simple h...

A body of mass 0.01 kg executes simple harmonic motion about x = 0 under the influence of a force shown in the figure. The period of the SHM is

A

1.05 s

B

0.52 s

C

0.25 s

D

0.31 s

Text Solution

Verified by Experts

The correct Answer is:
D
From graph, slope `k = (F)/(x)=(8)/(2)=4`
`T = 2pi sqrt((m)/(k))=2pi sqrt((0.01)/(4))=0.31s`
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Knowledge Check

  • A body of mass 0.01 kg executes simple harmonic motion (SHM) about x=0 under the influence of a force shown in the figure. The period of the SHM is

    A
    1.05 s
    B
    0.52 s
    C
    0.25 s
    D
    0.31 s

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    A
    at extreme positions, the total energy is zero
    B
    at equilibrium position, the total energy is in the form of potential energy
    C
    at equilibrium position, the total energy is in the form of kinetic energy
    D
    at extreme position, the total energy is infinite

  • A block of mass 2kg executes simple harmonic motion under the reading from at a spring .The angular and the time period of motion are 0.2 cm and 2pi sec respectively Find the maximum force execute by the spring in the block.

    A
    `0.05 N`
    B
    `0.002 N`
    C
    `0.003 N`
    D
    `0.004 N`

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