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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 len

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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
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Correct Answer - 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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