A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to `T_(M). If the Young's modulus of the material of the wire is (Y) then `1/Y` is equal to:

Options

A. `[(frac("^TM)(T))^2-1]frac(A)(Mg)`
B. `[(frac("^TM)(T))^2-1]frac(Mg)(A)`
C. `[1-(frac("^TM)(T))^2]frac(A)(Mg)`
D. `[1-(frac(T)("^TM))^2]frac(A)(Mg)`