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An unknown resistance r si determined in terms of a standared resistance `R = 100 Omega` by using potentiometer. The potential difference across r is balanced againt `45 cm` length of the wire and that `(r + R)` is obtained at `70 cm` of the wire. Find the value of the unknown resistance.A. `200 Omega`B. `280 Omega`C. `180 Omega`D. `100 Omega`

Answer» Correct Answer - C
`l_(1) = 45 cm, l_(2) = 70 cm`
`R = 100 Omega`
`r = R ((l_(1))/(l_(2) - l_(1))) = 100 ((45)/(75 - 45)) = 180 Omega`


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