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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 :

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a

f=12πmAYL

b

f=12πmLYA

c

f=12πYAmL

d

f=12πYLmA

answer is C.

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Detailed Solution

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

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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 :