Q. A meter bridge is used to determine the resistance of an unknown wire by measuring the balance point length . If the wire is replaced by another wire of same material but with double the length and half the thickness, the balancing point is expected to be

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Solution:

In a meter bridge the ratio of two resistances is

Where and are balancing lengths.
Resistance
In material remains same
Given,



Therefore, the new balancing point is expected to be 8 .