Two bulbs of ((40W,\ 200V)) and ((100 W,\ 200V)). Then corr... | Physics | SolveeIt

Two bulbs of $(40W,\ 200V)$ and $(100 W,\ 200V)$ . Then correct relation for their resistance:

$R_{40}<R_{100}$

$R_{40}>R_{100}$

$R_{40}=R_{100}$

$No\ relation\ can\ be\ predicted$

Answer

$R_{40}>R_{100}$

Explanation

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

$P∝\frac {1}{R }$

⇒ $R∝\frac {1}{P }$

⇒ $R_{40}>R_{100}$

So, the correct option is (B): $R_{40}>R_{100}$

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