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A pendulumd made of a uniform wire of cr...

A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to `T_(M). If the Young's modulus of the material of the wire is (Y) then `1/Y` is equal to:

A

`[1-((T_(M))/(T))^(2)](A)/(Mg)`

B

`[1-((T)/(T_(M)))^(2)](A)/(Mg)`

C

`[((T_(M))/(T))^(2)-1](A)/(Mg)`

D

`[((T_(M))/(T))^(2)-1](Mg)/(A)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-OSCILLATIONS -Exercise-2 : Concept Applicator
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  2. A point particle of mass 0.1 kg is executing SHM of amplitude 0.1m. Wh...

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  3. A particle performs SHM on x- axis with amplitude A and time period ...

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  4. A mass is suspended separately by two different springs in successive ...

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  5. Two particles execute SHM of same amplitude and frequency on parallel ...

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  6. If a simple pendulum has significant amplitude (up to a factor of1//e ...

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  7. A mass (M) is suspended from a spring of negligible mass. The spring i...

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  8. A bent tube of uniform cross-section area A has a non-viscous liquid o...

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  9. A particle performs SHM about x=0 such that at t=0 it is at x=0 and mo...

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  10. A particle of mass m = 2 kg executes SHM in xy plane between points A ...

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  11. A simple harmonic motion along the x-axis has the following properties...

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  12. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

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  13. A uniform cylinder of length L and mass M having cross-sectional area ...

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  14. A uniform cylinder of length L and mass M having cross-sectional area ...

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  15. A body executes simple harmonic motion under the action of a force F1 ...

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  16. A simple pendulum attached to the ceiling of a stationary lift has a t...

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  17. Two bodies of masses 1 kg and 4 kg are connected to a vertical spring,...

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  18. A particle of mass m oscillates with a potential energy U=U(0)+alpha x...

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  19. Two simple pendulums of length 0.5 m and 20 m respectively are given s...

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  20. A uniform pole of length l = 2 L is laid on smooth horizontal table as...

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  21. A particle of mass m executes simple harmonic motion with amplitude a ...

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