A point mass m is supended at the end of a massless wire of length Land cross sectional are A, If Y is the Youmg's modulus of the wire. Then the frequency of the oscillation for the simple harmonic oscillation along the vertical direction is

Options

A. `(1)/(2pi)sqrt((A)/(mLY))`
B. `(1)/(2pi)sqrt((YA^(2))/(mL^(3)))`
C. `(1)/(2pi)sqrt((YA)/(mL))`
D. `(1)/(2pi)sqrt((YL)/(m))`

Answer

C

Explanation

`K=(YA)/(L) Rightarrow T+2pisqrt((m)/(K)) Rightarrow 2pisqrt((ml)/(YA))`