PhysicsIf R1 and R2 be the resistance of the filament of 40 W and 60 W respectively operating 220 V, then

If $R_{1} and R_{2}$ be the resistance of the filament of $40 W$ and $60 W$ respectively operating $220 V$ , then

R_{1} and R_{2}

be the resistance of the filament of

40 W

and

60 W

respectively operating

220 V

, then

R_{2} < R_{1}

.
From the formula of power,

P = \frac{V^{2}}{R} or R = \frac{V^{2}}{P}

It can also be said that R

\propto \frac{1}{P}

. Therefore, the greater the power, lesser the resistance.
Hence,

R_{2} < R_{1}

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