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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
Since, `fprop(1)/(l)`
`implies f_(1)l_(1)=f_(2)l_(2)`
`implies 800xx50=1000xxl_(2)impliesl_(2)=40cm`.
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