Two uniform wires A and B are of the same metal and have equal masses. The radius of wire A is thrice that of wire B . The total resistance of A and B when connected in parallel is

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4.20 Ω when the resistance of wire A is 4.25 Ω

5 Ω when the resistance of wire A is 4.25 Ω

4 Ω when the resistance of wire B is 4.25 Ω

answer is A.

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Detailed Solution

RARB=rBrA4⇒RARB=134=181⇒RB=81RAWhen RA and RB are connected in parallel then equivalent resistance Req=RARB(RA+RB)=8182RAIf RA=4.25Ω then Req=4.20Ω i.e. option (a) is correct.

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