In the experimental set up of metre bridge shown in the figure, the null point is obtaine data distance of 40 ~cm from A. If a 10 resistor is connected in series with R ₁, the null point shifts by 10 ~cm . The resistance that should be conn

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In the experimental set up of metre bridge shown in the figure, the null point is obtaine data distance of 40 ~cm from A. If a 10 resistor is connected in series with R ₁, the null point shifts by 10 ~cm . The resistance that should be connected in parallel with ( R ₁+10 ) such that the null point shifts back to its initial position is

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Correct answer: C. 60

Initially at null deflection R ₁ R ₂ = 2 3 ( i ) Finally at null deflection, when null point is shifted R ₁+10 R ₂ =1 R ₁+10= R ₂ ...(ii) Solving equations (i) and (ii) we get 2 R₂ 3 +10=R₂10= R ₂ 3 R ₂=30 & R₁=20 Now if required resistance is R then 30 R 30+ R 30 = 2 3 R =60

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