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A particle performing SHM with a frequen...

A particle performing `SHM` with a frequency of `5Hz` and amplitude `2cm` is initially at position extreme position. The equation for its displacement (in meter) is

A

`x = 0.02 sin 10 pi t`

B

`x = 0.02 sin 5 pi t`

C

`x = 0.02 cos 10 pi t`

D

`x = 0.02 cos 5 pi t`

Text Solution

Verified by Experts

The correct Answer is:
C
Particle at + ve mean position `x = A cos omega t`
`x = (2 cm) cos (2pi (5)t) = 2 cos (10 pi t)`
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NARAYNA-OSCILLATIONS-EXERCISE - I (H.W)
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  2. A particle executes SHM with an amplitude of 0.2 m. Its displacement w...

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  3. A particle performing SHM with a frequency of 5Hz and amplitude 2cm is...

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  4. The period of oscillation of a particle in SHM is 4sec and its amplitu...

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  5. A particle starts its SHM from mean position at t = 0. If its time per...

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  6. A 20g particle is executing SHM between the limits (5,0,0)cm and (15, ...

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  7. A particle is subjected to two SHMs x(1) = A(1) sin omegat and x(2) ...

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  8. Three SHO's of equal amplitude A and equal time period combine in the ...

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  9. The displacement of an obuect attached to a spring and executing simpl...

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  10. If the displacement x and velocity v of a particle executing SHM are r...

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  11. The equation for the displacement of a particle executing SHM is x = 5...

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  12. The ratio of velocities of particle in SHM at displacements A//3 and 2...

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  13. The time period of oscillation of a particle that executes SHM is 1.2s...

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  14. An object is attched to the bottom of a light vertical spring and set ...

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  15. A particle executes SHM along a straight line 4cm long. When the displ...

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  16. The equation of motion of a particle in SHM is a +16 pi^(2)x = 0. Here...

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  17. A body executing SHM has a maximum velocity of 1ms^(-1) and a maximum ...

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  18. The acceleration of a particle in SHM is 0.8ms^(-2), when its displace...

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  19. A body of mass 0.5kg is performing SHM with a time period .^(pi)//(2) ...

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  20. A body of mass 1//4 kg is in SHM and its displacement is given by the ...

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