An electric bulb rated for 500 watt at 100 volt is used in a circuit having a 200 volt supply. Resistance r that must be connected in series with the bulb so that the bulb delivers 500 watts is
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For the bulb to deliver 500 W, it should have a potential difference of 100 V across it. This would be possible only when R=20Ω. Because in that case, both resistances will share equal potential difference and the potential difference across the bulb will be 200 V. Hence, the answer is 20Ω.
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