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Question

# Two wires of the same material and having lengths in the ratio of 2:3 are connected in series. The p.d.s across the wires are 4.2 V and 3.6 V respectively. Compare their radii.

A
1 : 7
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B
2:7
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C
2:7
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D
2:1
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Solution

## The correct option is B 2:√7 Grven wires are in series that means current in both wires is same let it be i. Given lengths are in the ratio 2:3 and potential difference across the wires are 4.2v and 3.6 V . Let the radii be r1,r2 respectively. V=iR⇒V=i×ρlA (Since wires are of Same material) 4.2=Pρl1πr21→(i) 3. 6= i ρl2πr22→(ii)(1)(2)=4.23.6=76=(l1l2)×r22r21r1:r2=2:√7

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