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Q.

A piano wire having a diameter of 0 .90 mm is replaced by another wire of the same material but with a diameter0 .93mm. If the tension of the wire is kept the same, then the percentage change in the frequency of the fundamental tone is

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a

+3%

b

+3.2%

c

-3.2%

d

-3%

answer is C.

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Detailed Solution

kt D be the diameter of the wire. Thenn∝1D  or  dn∝dDD2 dnn=dDD=−0⋅030⋅90 or dnn×100=−0⋅030⋅90×100=−3⋅2%
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