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The total mechanical energy of a particl...

The total mechanical energy of a particle of mass `m` executing `SHM` with the help of a spring is `E = (1//2)momega^(2)A^(2)`. If the particle is replaced by another particle of mass `m//2` while the amplitude `A` remains same. New mechanical energy will be :

A

`sqrt(2)E`

B

`2E`

C

`E//2`

D

`E`

Text Solution

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The correct Answer is:
D
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RESONANCE-SIMPLE HARMONIC MOTION -Exercise- 1, PART - II
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  2. According to a scientists, he applied a force F = -cx^(1//3) on a part...

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  3. A particle performing SHM takes time equal to T (time period of SHM) i...

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  4. A particle executing linear SHM. Its time period is equal to the small...

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  5. If overset(vec)(F) is force vector, overset(vec)(v) is velocity , over...

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  6. Two SHM's are represented by y = a sin (omegat - kx) and y = b cos (om...

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  7. How long after the beginning of motion is the displacment of a harmoni...

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  8. The magnitude of average accleration in half time period in a simple h...

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  9. A particle moves on y-axis according to the equation y = A +B sin omeg...

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  10. Two particles execute SHMs of the same amplitude and frequency along t...

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  11. A mass M is performing linear simple harmonic motion. Then correct gra...

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  12. A body executing SHM passes through its equilibrium. At this instant, ...

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  13. The KE and PE , at is a particle executing SHM with amplitude A will b...

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  14. A point particle if mass 0.1 kg is executing SHM of amplitude 0.1 m. W...

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  15. For a particle performing SHM

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  16. Acceleration a versus time t graph of a body in SHM is given by a curv...

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  17. A particle performs SHM of amplitude A along a straight line. When it ...

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  18. Two springs, of spring constants k(1) and K(2), have equal highest vel...

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  19. A toy car of mass m is having two similar rubber ribbons attached to i...

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  20. A mass of 1 kg attached to the bottom of a spring has a certain freque...

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  21. A ball of mass m kg hangs from a spring of spring constant k. The bal...

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