A string in a musical instrument is 50 c...

A string in a musical instrument is 50 cm long and its fundamental frequency is 270 Hz. If the desired frequency of 1000 Hz is to be produced, the required string length is

13.5 cm

2.7 cm

5.4 cm

10.8 cm

Text Solution

Verified by Experts

The correct Answer is:

Fundamental frequency of string `n=1/(2l)sqrt(T/m)`
`nprop1/l`
`n_1/n_2=l_2/l_1`
Given `n_1=270Hz,n_2=1000Hz,l_1=50cm`
`270/1000=l_2/50`
`l_2=(50xx27)/100`
`l_2=13.5cm`

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