Q. In the circuit ,
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the reading of the galvanometer is same with switch open or closed. Then

 1831  210 Current Electricity Report Error

Solution:

This method is Kelvin's method of determining resistance of galvanometer by Wheatstone bridge circuit. Deflection in galvanometer is same with switch open or closed. It means that there is no current through . This happens when the potentials at the two ends of are same.
This is the condition of balanced Wheatstone bridge.
and .