If the tension in a stretched string fixed at both ends is changed by 21%, the fundamental frequency is found to increase by 15 Hz then the

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original frequency is 150 Hz

velocity of propagation of the transverse wave along the string changes by 5%

velocity of propagation of the transverse wave along the string changes by 10%.

fundamental wave length on the string does not change.

answer is A.

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Detailed Solution

f∝T f2f1=T2T1=1.21T1T1⇒ f1+15f1=1.1⇒f1=150Hz v2v1=T2T1=1.1⇒v2=1.1v1So velocity increases by 10%. Fundamental wavelength is λ=2L, which remains same as the length of string remains same.

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