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=12LYLlÏ
b
n=12LLÏYl
c
n=12LYlLÏ
d
n=12LYÏLl
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 â´ T=YAlI Further, m= mass length = volume à density length = area à density =AÏ The frequency in the fundamental mode is given by n=12LTm=12LYAlLÃAÏ or n=12LYlLÏ