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(C) The power $P$ of an electrical appliance is related to its resistance $R$ and the operating voltage $V$ by the formula $P = \frac{V^2}{R}$.Since b

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Less than that of the fan

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(C) The power $P$ of an electrical appliance is related to its resistance $R$ and the operating voltage $V$ by the formula $P = \frac{V^2}{R}$.Since both appliances operate at the same voltage $V = 220 \ V$,the resistance is given by $R = \frac{V^2}{P}$.This implies that $R \propto \frac{1}{P}$,meaning resistance is inversely proportional to power.For the fan,$P_f = 100 \ W$,so $R_f = \frac{V^2}{100}$.For the heater,$P_h = 1000 \ W$,so $R_h = \frac{V^2}{1000}$.Comparing the two,since $1000 > 100$,it follows that $R_h Therefore,the resistance of the heater is less than that of the fan.

An electric fan and a heater are marked as $100 \ W, 220 \ V$ and $1000 \ W, 220 \ V$ respectively. The resistance of the heater is

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