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in an experiment it was found that strin...

in an experiment it was found that string vibrates in n loops when a mass M is placed on the pan. What mass should be placed on the pan to make it vibrate in 2n loops with same frequency ? ( neglect the mass of pan )

A

`M//4`

B

4 M

C

2 M

D

`M//2`

Text Solution

Verified by Experts

The correct Answer is:
b
As the string vibrates in n loops therefore, `l=(nlambda)/2`
therefore, v would become `1/2` time. As `v prop sqrt(T)`
Threrfore to make v half- time T must be made `1/4` time
i.e. M/4.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -EXERCISE 2
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  2. A glass tube of length 1.0 m is completely filled with water. A vibrat...

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  3. in an experiment it was found that string vibrates in n loops when a m...

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  4. Standing waves are produced by the superposition of two waves y(1)=0....

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  5. The transverse displacement y(x, t) of a wave on a string is given by ...

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  6. A pipe is open at both ends and 40 cm of its length is in resonance wi...

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  7. While measuring the speed of sound by performing a resonance column ex...

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  8. The extension in a string, obeying Hooke's law, is x. The speed of sou...

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  9. A Uniform rope having mass m hags vertically from a rigid support. A t...

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  10. The frequency of the third overtone of a closed pipe of length L(c) is...

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  11. A stretched string is vibrating in the second overtone, then the numbe...

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  12. A wire under tension vibrates with a fundamental frequency of 600 Hz. ...

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  13. An open organ pipe is closed suddenly with the result that the second ...

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  14. The lengths of two organ pipes open at both ends are L and L + d. If t...

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  15. The equation of a standing wave is y=0.2 sinfrac{2pi}{0.3}xcdot cos f...

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  16. Tube A has both ends open while tube B has one end closed. Otherwise t...

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  17. In a resonance tube, using a tuning fork of frequency 325 Hz, the firs...

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  18. A string fixed at both ends oscillates in 5 segments, length 10 m and ...

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  19. A hollow pipe of length 0.8m is closed at one end. At its open end a 0...

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  20. A hollow cylinder with both sides open generates a frequency v in air....

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