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Two wires A and B of same material and mass have their lengths in the ratio 1 : 2. On connecting them to the same source, the rate of heat dissipation in B is found to be 5 W. The rate of heat dissipation in A is

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a

10 W

b

5 W

c

20 W

d

none of these

answer is C.

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Detailed Solution

Ht =P = V2R ⇒ P ∝ 1R ; Also R ∝ lA∝ l2ρA.lρ⇒ R ∝ l2m ⇒ R ∝ l2 for same massSo PAPB = lB2lA2 = 41 ⇒ PA =20 W

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