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A string in a musical instrument is 50 ...

A string in a musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If a frequency of 1000 Hz is to be produced, then required length of string is

A

`62.5` cm

B

50 cm

C

40 cm

D

`37.5` cm

Text Solution

Verified by Experts

The correct Answer is:
c
According to the law of length,
`n_(1) l_(1) =n_(2)l_(2)`
`therefore l_(2) = (n_(1)l_(1))/n_(2)=(800xx50)/1000 =40` cm
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -EXERCISE 1
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  3. A string in a musical instrument is 50 cm long and its fundamental fr...

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  11. A pipe of 60 cm long and open at both the ends produces harmonics. Whi...

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  12. If we study the vibration of a pipe open at both ends, then the follow...

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  13. Two organ pipes, each closed at one end, give 5 beats s^(-1) when emit...

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  14. The frequency of the first overtons of a closed pipe of length l(1) is...

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  15. Air is blown at the mouth of an open tube of length 25 cm and diamete...

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  16. A pipe opened at both ends prpduces a note of frequency f(1). When the...

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  17. A closed organ pipe of length 1.2 m vibrates in its first overtone mod...

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  18. An organ pipe P closed at one end vibrates in its first narmonic. Anot...

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  19. Two closed organ pipe A and B have the same length. A is wider than B....

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