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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 HzB. 64 HzC. 200 HzD. 96 Hz

Answer» Correct Answer - A
`n_2/n_1=l_1/l_2d_1/d_2 sqrt(T_2/T_1)`
`=2/1xx1/2xxsqrt(1/4) = 1/2`
`n_2 = (n_1)/(2) = 256/2 = 128Hz`


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