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

R1 =  ρ l1A1  and  R2 =  ρ l2A2⇒   R1R2 = l1l2 . A2A1 = l1l2 r2r12Given   l1l2 =12   and  r1r2 = 21  or  r2r1 =  12 ⇒ R1R2 = 18∴    Ratio  of  heats,  H1H2 =   V2/R1V2/R2 = R2R1= 81
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