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The length of a wire l(1) when tension i...

The length of a wire `l_(1)` when tension is 4 N and `l_(2)` when the tension is 5 N. Then its original length would be

A

`9l_(1)-8l_(2)`

B

`5l_(1)+4l_(2)`

C

`5l_(1)-4l_(2)`

D

`9l_(2)-8l_(1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`L=(T_(2)l_(1)-T_(1)l_(2))/(T_(2)-T_(1))`
`=(5l_(1)-4l_(2))/(5-4)=5l_(1)-4l_(2)`.
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