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Resistances R₁, and R₂, are joined in parallel and a current is passed so that the amount of heat liberated is H₁and H₂, respectively. The ratio of H₁ / H₂, has the value

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$R_{2}^{2} / R_{1}^{2}$

$R_{1}^{2} / {R_{2}}^{2}$

R₂ / R₁,

R₁ / R₂

answer is A.

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Detailed Solution

We know that $H = V^{2} / R$
$\begin{array}{l} H_{1} = \frac{V^{2}}{R_{1}} and H_{2} = \frac{V^{2}}{R_{2}} \\ ∴ \frac{H_{1}}{H_{2}} = \frac{R_{2}}{R_{1}} \end{array}$

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