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A wire under a tension vibrates with fun...

A wire under a tension vibrates with fundamental frequency of 256 Hz . What should be the fundamental frequency of the wire if its length is half, thickness twice and one - fourth of the tension ?

A

128 Hz

B

200 Hz

C

64 Hz

D

96 Hz

Text Solution

Verified by Experts

The correct Answer is:
A
`n_2/n_1 = l_1/l_2 xxsqrt(T_2/T_1) = 2xx1/2xx1/2 therefore n_1 = 128Hz`
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