Let us consider the voltage be 220V for both 100W and 60W bulb
1) P1=100 W
V1 = 220 V
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P = V×I
P = V × (V/R)
P = V^2/R
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100 = (220×220)/R1
R1 = 484 ohm
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(2) P2 = 60 W
V2= 220 V
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60 = (220×220)/R2
R2 = 806.6 ohm
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Hence R2 is greater than R1