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Q.

A wire of length l having tension T and radius r vibrates with fundamental frequency f. Another wire of the same metal with length 2l having tension 2T and radius 2 r will vibrate with fundamental frequency:

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a

f

b

2f

c

f22

d

f22

answer is C.

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Detailed Solution

f = 12lTμIf radius is doubled and length is doubled, mass per unit length will become four times.Hence f = 12×2l2T4μ = f22
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