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Question

Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor B will fit snugly within conductor A, and conductor C will fit snugly within conductor B. Relationship between their end to end resistance is

A
RA=RB=RC
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B
RA>RB>RC
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C
RA<RB<R
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D
Information is not sufficient
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Solution

The correct option is A RA=RB=RC
All the conductors have equal lengths. Area of cross-section of A is {(3a)2(2a)2}=a2
Similarly area of cross-section of B - Area of cross-section of C=a2
Hence according to formula R=ρlA; resistances of all the conductors are equal i.e. RA=RB=RC

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