1.

A string in a musical instrument is `50 cm` long and its fundanmental frequency is `800 Hz` If the frequency of `1000 Hz` is to be produced then required length of spring isA. `37.5 cm`B. `40 cm`C. `50 cm`D. `62.5 cm`

Answer» Correct Answer - b
The frequency producted in a string of length of L mass per unit length m , and tension T is
`n = (1)/(2l) sqrt((T)/(m))`
Given `l_(1) = 50 cm , n_(1) = 800 Hz` M
and `n_(2) = 1000 Hz`
`:. (n_(1))/(n_(2)) = (l_(2))/(l_(1))`
`rArr l_(2) = (n_(1)l_(1))/(n_(2)) = (800 xx 50)/(100) = 40 cm`


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