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A particle oscillating in simple harmon...

A particle oscillating in simple harmonic motion has amplitude 'a'. The distance from the mean position at which its velocity will be one half of the maximum velocity is

A

`(sqrt(3))/2 a`

B

`3/(sqrt(2))a`

C

`a//2`

D

a

Text Solution

Verified by Experts

The correct Answer is:
A
`v=omegasqrt(a^(2)-x^(2))`
`(aomega)/2=omegasqrt(a^(2)-x^(2))`
`x=(sqrt(3))/(2)a`
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RESONANCE ENGLISH-SIMPLE HARMONIC MOTION-Exercise
  1. A particle is executing S.H.M. from mean position at 5 cm distance, ac...

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

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  3. A particle oscillating in simple harmonic motion has amplitude 'a'. T...

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  4. Acceleration versus time graph of a body in SHM is given by a curve sh...

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  5. In S.H.M., potential energy (U) V/s, time (t) . Graph is

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  6. The variation of the acceleration (f) of the particle executing S.H.M....

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  7. The displecement-time graph of a particle execting SHM is shown in fig...

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  8. For a simple harmonic vibrator frequency n, the frequency of kinetic e...

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  9. A particle is executing SHM with an amplitude 4 cm. the displacment at...

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  10. For a particle executing S.H.M. which of the following statements hold...

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  11. The equation of SHM of a particle is (d^2y)/(dt^2)+ky=0, where k is a ...

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  12. The total energy of the body executing S.H.M. is E. Then the kinetic e...

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  13. A linear harmonic oscillator of force constant 2 xx 10^(6)N//m and amp...

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  14. A particle executing SHM of amplitude 4 cm and T=4 s . The time taken ...

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  15. The potential energy of a particle execuring S.H.M. is 5 J, when its d...

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  16. A body of mass m is suspended from three springs as shown in figure. I...

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  17. One mass m is suspended from a spring. Time period of oscilation is T....

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  18. A spring has a certain mass suspended from it and its period for verti...

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  19. Two objects A and B of equal mass are suspended from two springs const...

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  20. If the period of oscillation of mass M suspended from a spring is one ...

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