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

Question

Infinity Learn · Accepted Answer

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

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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