A metal wire of length `L_1` and area of cross section A is ttached to a rigid support. Another metal wire of length `L_2` and of the same cross sectional area is attached to the free end of the first wire. A body of mass M is then suspended from the free end of the second wire, if `Y_1` and `Y_2` are the Young's moduli of the wires respectively the effective force constant of the system of two wires is

Options

A. `(Y_(1)Y_(2)A)/(2(Y_(1)L_(2)+L_(1))`
B. `(Y_(1)Y_(2)A)/((L_(1)L_(2))^(1//2)`
C. `(Y_(1)Y_(2)A)/((Y_(1)L_(2))+Y_(2)L_(1)`
D. `((Y_(1)Y_(2))^(1//2)A)/((L_(2)L_(1))^(1//2)`