are heats produced by two co

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Solution

Q.
$H_{1} a n d H_{2}$ are heats produced by two copper wires having the same length and different diameters when they are connected in series and parallel respectively. From the above, we infer what of the following

1 $H_{1} > H_{2}$

2 $H_{1} < H_{2}$

3 $H_{1} = H_{2}$

4 $H_{1} \neq H_{2}$

Ans.
(1)

When wires are connected in series, $R_{s} = R_{1} + R_{2}$

In parallel,

$R_{p} = \frac{R_{1} R_{2}}{R_{1} + R_{2}} : R_{s} > R_{p} : H_{2} < H_{1} [H \propto R]$

Then $H_{1} > H_{2}$

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