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Question

Three copper wires of length and cross-sectional area are (l,A), (2l,A2) and (l2,2A) and their resistance are R1,R2 and R3 respectively. The increasing order of resistances is-

A
R1>R2>R3
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B
R3>R2>R1
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C
R2>R3>R1
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D
R3<R1<R2
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Solution

The correct option is D R3<R1<R2
Given, l1=l ; l2=2l ; l3=l2

A1=A ; A2=A2 ; A3=2A

Resistance of a wire is,

R=ρlA

R1=ρlA=R

R2=ρ2lA2=4(ρlA)=4R

R3=ρl2(2A)=14(ρlA)=R4

R3<R1<R2

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (D) is the correct answer.

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