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Q.

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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a

original frequency is 150 Hz

b

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

c

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

d

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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