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Q.Two bulbs of 40 W and 60 W are connected to 220 V source. The ratio of their resistances will be (A) 4 : 3
(B) 3 : 4
(C) 2 : 3
(D) 3 : 2

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At the same voltage R = V²/P, so R ∝ 1/P → R₄₀:R₆₀ = 60:40 = 3:2.

The power rating is defined at the operating voltage, so R=V2PR = \dfrac{V^2}{P}. Since both bulbs use the same 220 V, resistance is inversely proportional to power.

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