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Q.

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

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a

4  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 4.20  Ω

answer is A.

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Detailed Solution

RARB=rBrA4 ⇒ RARB=124 =116 ⇒ RB=16RAWhen RA and RB are connected in parallel, then equivalent resistance Req=RARBRA+RB=1617 RAIf  RA=4.25  Ω then  Req=4  Ω
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