if R1 and R2 are respectively the filament resistance of a 200 watt bulb and 100 watt bulb designed to operate on the same voltage then
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Power of a bulb is inversely proportional to the resistance of filament wire of bulb hence .
P1/P2 = R2/R1
200/100 = R2/R1
R2/R1 = 2
Hence , R2 = 2R1
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