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The value of tension in a long thin meta...

The value of tension in a long thin metal wire has been changed from `T_(1)" to "T_(2)`. The lengths of the metal wire at two different values of tension `T_(1)" and "T_(2)` are `l_(1) and l_(2)` respectively. The actual length of the metal wire is :

A

`(T_(1)l_(2)-T_(2)l_(1))/(T_(1)-T_(2))`

B

`(T_(1)l_(1)-T_(2)l_(2))/(T_(1)-T_(2))`

C

`(l_(1)+l_(2))/(2)`

D

`sqrt(T_(1)T_(2)l_(1)l_(2))`

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