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Q.

A wire of resistance 3Ω is stretched uniformly then the length is doubled. The wire is now bent in the form of an equilateral triangle then the effective resistance between the ends of any side of the triangle

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a

83Ω

b

1Ω

c

92Ω

d

2Ω

answer is B.

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Detailed Solution

During stretching volume of wire remains same.

R=ρL2Vol

Doubling the length will make the resistance 4 times.

New resistance of wire will become 12Ω.

Resistance of one side of triangle will be 4Ω.

 The net resistance:between two ends =8×48+4=83Ω

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