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Questions  

An object of mass ‘m’ is suspended at the end of a massless wire of length L and area of cross-section, A. Young modulus of the material of the  wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

a
f=12πmAYL
b
f=12πmLYA
c
f=12πYAmL
d
f=12πYLmA

detailed solution

Correct option is C

Wire acts like a spring.​F=kx=YAL△L​⇒Spring constant=k=YAL​∴Frequency of SHM=f=12πkm=12πYAmL

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