The length og two metal wire is `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_(2)-F_(1))`
C. `(l_(1)F_(2) - l_(2)F_(1))/(F_(2)-F_(1))`
D. `(l_(1)F_(1) - l_(2)F_(2))/(F_(2)-F_(1))`

Answer

C

Explanation

The original length of the wire is,
`l_(0)=(l_(1)F_(1) -l_(2)F_(1))/(F_(2)-F_(1))`