Two bulbs consume the same power when operated at 200 V and 300 V respectively. When these bulbs are connected in series across a DC source of 400 V…

Question

Two bulbs consume the same power when operated at 200 V and 300 V respectively. When these bulbs are connected in series across a DC source of 400 V, then the ratio of power consumed across them is

MARKS Content Team · Accepted Answer

Correct answer: (C) 4/9. R=(V^2)/P or R∝V^2 ∴R_1/R_2=(200^2)/(300^2)=4/9. When bulbs are connected in series, the current I is same through each. As P=I^2 R or P∝R( as I is same in series), so P_1/P_2=R_1/R_2=4/9.

Two bulbs consume the same power when operated at $200 V$ and $300 V$ respectively. When these bulbs are connected in series across a DC source of $400 V$ , then the ratio of power consumed across them is

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