While determining the specific resistance of a wire using a metre bridge the formula used is (where X, D, L and ρ denote unknown resistance, diameter of the wire, the length of the wire and the specific resistance of the wire)
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a
ρ=XπD4L
b
ρ=XπD24 L
c
ρ=X2πD24 L
d
ρ=XπD24 L2
answer is B.
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Detailed Solution
The specific resistance (ρ) is determined by the formula R=ρLA=ρLπD24⇒ρ=XπD24 L where symbols have their usual meaning.