A uniformly tapering conical wire is made from a material of young's modulus Y and has a normal unextended length `L` the radii at the upper and lower ends of this conical wire, have values R and 3R, respectively the upper end of the wire is fixed to a rigid support and a mass `M` is suspended from its lower end. the equilibrium extended length of this wire would equal to:

Options

A. `L(1+1/3frac(Mg)(3piYR^2))`
B. `L(1+2/3frac(Mg)(3piYR^2))`
C. `L(1+1/9frac(Mg)(3piYR^2))`
D. `L(1+2/9frac(Mg)(3piYR^2))`