A meter bridge is set up as shown in figure, to determine an unknown resistance $X$ using a standard $10Ω$ resistor. The galvanometer shows null point when tapping key is at $52 cm$ mark. The end-corrections are $1 cm$ and $2 cm$ respectively for the ends $A$ and $B$ . The determined value of $X$ is

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TestHub · Accepted Answer

Using the concept of balanced Wheatstone bridge, we have ∴ ∴ ​ Q P ​ ​ = S R ​ ( 52 + 1 ) X ​ X ​ = ( 48 + 2 ) 10 ​ = 50 10 × 53 ​ = 10.6Ω ​ ∴ Correct option is (b). Analysis of Question Question is moderately tough, because normally end corrections are not taught in the coaching/schools in this type of problem.

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