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The ratio of velocities of particle in S...

The ratio of velocities of particle in `SHM` at displacements `A//3` and `2A//3` is

A

`1 : 2`

B

`2 : 1`

C

`sqrt(8) : sqrt(5)`

D

`sqrt(5) : sqrt(8)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(v_(1))/(v_(2)) = (sqrt(A^(2) - ((A)/(3))^(2)))/(sqrt(A^(2) - ((2A)/(3))^(2))) = (sqrt(8))/(sqrt(5))`
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NARAYNA-OSCILLATIONS-EXERCISE - I (H.W)
  1. If the displacement x and velocity v of a particle executing SHM are r...

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

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

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

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

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

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

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

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

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

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

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  12. Four simple harmonic vibrations x(1) = 8s "in" (omegat), x(2) = 6 si...

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  13. A sewing machine needle is oscillating simple harmonically in a vertic...

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  14. A particle executing SHM is described by the displacement function x(t...

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  15. The velocities of a body executing SHM at displacement 'a' and 'b' are...

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  16. A block of 0.5kg is placed on a horizontal platform. The system is mak...

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  17. Due to some force F(1) a body oscillates with period 4//5s and due to ...

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

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  19. particle is executing the motion x=A cos (omegat-theta) The maximum ve...

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  20. A particle executes simple harmonic motion with a period of 16s. At ti...

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