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Questions  

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

a
4Ω when the resistance of wire A is 4.25Ω
b
5Ω when the resistance of wire A is 4.25Ω
c
4Ω when the resistance of wire B  is 4.25Ω
d
4Ω when the resistance of wire  B is 4.25Ω

detailed solution

Correct option is A

RARB=rBrA4⇒RARB=124=116⇒RB=16RAWhen RA and RB are connected in parallel then equivalent resistance Req=RARBRA+RB=1617R4If RA=4.25Ω then Req=4Ω i.e. option (a) is correct.

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