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Q.

A wire of density p is stretched between two clamps a distance L apart, while being subjected to an extension I.Y is the Young's modulus of the material of the wire. The lowest frequency of transverse vibration of the wire is given by wire is given by

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a

n=12LYLlρ

b

n=12LLρYl

c

n=12LYlLρ

d

n=12LYρLl

answer is C.

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Detailed Solution

The Young's modulus of the wire is given by Y= stress  strain =T/Al/A=TLAl âˆ´ T=YAlI  Further, m= mass  length = volume Ã— density  length  = area Ã— density =Aρ The frequency in the fundamental mode is given by n=12LTm=12LYAlL×Aρ or n=12LYlLρ
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