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Two wires 'A' and 'B' of the same materi...

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

A

`1:3`

B

`3:1`

C

`1:2`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(1) =3l =, I_(2) = 4l`
`r_(1) =3r, r_(20 = 2r`
`R_(1)/R_(2) =((3l)/(4l)) xx ((2r)/(3r))^(2) rArr 3/4 xx 4/9 = 1/3`
`R_(2) = 3R_(1)`
`I_(1) : I_(2) = 3:1`
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