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The stirng stretched by tension T and le...

The stirng stretched by tension T and length L vibrates in resonance with a tuning fork of frequency n. the tension in the stretched string is increased by 69% and length of string reduced by 35%. Then, the frequency of vibrating string is

A

n

B

1.5n

C

2n

D

n/2

Text Solution

Verified by Experts

The correct Answer is:
C
`n_2/n_1 = l_1/l_2 sqrt(T_2/T_1)`
`=(l_1)/(65/100l_1) xx sqrt(169/100) = 100/65 xx13/10`
`=130/65 = 2`
`n_2=2n`
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