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A cell of e.m.f E is connected to a resi...

A cell of e.m.f E is connected to a resistance `R_(1)` for time t and the amount of heat generated in it is H. If the resistance `R_(1)` is replaced by another resistance `R_(2)` and is connected to the cell for the same time t, the amount of heat generated in `R_(2)` is 4H. Then the internal resistance of the cell is

A

`(2R_(1) + R_(2))/(2)`

B

`sqrt(R_(1) R_(2)) (2 sqrt(R_(2))-sqrtR_(1))/(sqrtR_(2)-2 sqrtR_(1))`

C

`sqrt(R_(1)R_(2)) (sqrtR_(2)-2 sqrtR_(1))/(2 sqrtR_(2)-sqrtR_(1))`

D

`sqrt(R_(1)R_(2)) (sqrtR_(2)-sqrtR_(1))/(sqrtR_(2)+ sqrtR_(1))`

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