A uniformly tapering conical wire is mae 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)/(9)(Mg)/(piRM^(3)))`
B. `L(1+(2)/(9)(Mg)/(piYR^(2)))`
C. `L(1+(2)/(3)(Mg)/(piYR^(2)))`
D. `L(1+(1)/(3)(Mg)/(piYR^(2)))`

Answer

D