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Question

Two wires A and B, made of same material and having their lengths in the ratio 6 : 1 are connected in series. The potential differences across the wires are 3V and 2V respectively. If rA and rB the radii of A and B respectively, then rBrA is

A
1:4
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B
1:2
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C
1:1
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D
2:1
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Solution

The correct option is D 1:2
L1L2=61

V1=3V,V2=2V

V1=IR1;V2=IR2

V1V2=R1R2

32=L1L2(A2A1)

32=61(A2A1)

A1A2=41

r1r2=21

r2r1=12

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