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JEE PHYSICS MCQ: CURRENT ELECTRICITY

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An unknown resistance R1{R_1} is connected in series with a resistance of 10  Ω\mathrm{10}\,\,\mathrm{\Omega }. This combination is connected to one gap of meter bridge while a resistance R2{R_2} is connected in the other gap. The balance point is at 50  cm\mathrm{50}\,\,\mathrm{cm}, Now, when the 10  Ω\mathrm{10}\,\,\mathrm{\Omega } resistance is removed the balance point shifts 40  cm\mathrm{40}\,\,\mathrm{cm}. The value of R1{R_1} (in ohm) is
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Correct option: A
20\begin{array}{llllllllllllllllllll} {\mathrm{20}} \end{array}
Option A (20) is correct because it is derived from the meter bridge balance condition equations.

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