Q135 / 200 · NEET 2024 · Physics

Two heaters A and B have power rating of 1 kW and 2 kW , respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:

Correct answer
A
2:9
B
1:2
C
2:3
D
1:1

Solution

$\begin{aligned} & \therefore \text { Power Consumed }=P=\frac{V^2}{R} \\ & \frac{P_A}{P_B}=\frac{R_B}{R_A} \\ & R_A=2 R_B \end{aligned}$ For Series Combination $P_S=\frac{V^2}{3 R_B}$ For Parallel Combination $\begin{aligned} & P_P=\frac{3 V^2}{2 R_B} \\ & \frac{P_S}{P_P}=\frac{2}{9} \end{aligned}$

Hence, the correct answer is option: 'A'.

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