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Q.

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.
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