Q.

Two wires 'A' and 'B' of the same material have their lengths in the ratio 1 : 2 and radii in the ratio 2 : 1. The two wires are connected in parallel across a battery. The ratio of the heat produced in 'A' to the heat produced in 'B' for the same time is

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a

1 : 2

b

2 :1

c

1 : 8

d

8 : 1

answer is D.

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Detailed Solution

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H=V2R(Vis constant) in parallel current

H1Rπr2ρlHr2lHAHB=rA2rB2×lBlA=41×21=8:1 

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