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Question

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


A

10.2Ω

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B

10.6Ω

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C

10.8Ω

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D

11.1Ω

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Solution

The correct option is B

10.6Ω


Step 1. Given data:

Resistance = 10ohm

Tapping key initial mark = 52cm

End-corrections at A and B = 1cm and 2cm respectively.

Step 2. Finding unknown resistance:

Applying the condition of the balanced Wheatstone bridge, we get

X10=52+1100-52+2=5350X=5350×10=10.6Ω

Thus, the correct option is option B.


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