Q.

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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a

4.20 Ω  when the resistance of wire A  is  4.25 Ω

b

5 Ω  when the resistance of wire A  is  4.25 Ω

c

4 Ω when the resistance of wire B  is  4.25 Ω

d

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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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