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Q.

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 theirend to end resistance is

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a

RA = RB = RC

b

RA > RB > RC

c

RA < RB < RC

d

Information is not sufficient

answer is A.

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Detailed Solution

All the conductors have equal lengths. Area of cross-section of, A is 3 a2 − 2 a2=a2Similarly area of cross-section of B - Area of cross-section of C = a2Hence according to formula R=ρ. lA; resistances ofall the conductors are equal i.e., RA = RB = RC
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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 theirend to end resistance is