The lengths of two metal wires are `l_(1)` when the tension in it is `F_(1)` and `l_(2)` when the tension is `F_(2)` .then the original length of the wire is

Options

A. `(L_(1)F_(1)+L_(2)F_(2))/(F_(1)+F_(2))`
B. `(L_(2)-L_(1))/(F_(1)+F_(2))`
C. `(F_(1)L_(2)-F_(2)L_(1))/(F_(1)-F_(2))`
D. `(F_(1)L_(1)-F_(2)L_(2))/(F_(1)-F_(2))`

Answer

C