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The length og two metal wire is l(1) whe...

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

Text Solution

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Let its original length be .`l`..
We know `e prop T rArr (l_(1) -l) prop T_(1) ……(1)`
`(l_(2)-l) prop T_(2) ….(2)`
From (1) & (2)
`(l_(1)-l)/(l_(2)-l)=(T_(1))/(T_(2)) rArr T_(2)l_(1)-T_(2)l=T_(1)l_(2)-T_(1)l`
`T_(2)l_(1)-T_(1)l_(2)=(T_(2)-T_(1))l rArr l=(T_(2)l_(1)-T_(1)l_(2))/(T_(2)-T_(1))`
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