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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Motion in One Dimension

NEET 2024 · Physics · Motion in One Dimension

Two heaters A and B have power rating of 1 kW and 2 kW ,...

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:

Options

  1. A2:9
  2. B1:2
  3. C2:3
  4. D1:1

Correct answer

A. 2:9

Step-by-step solution

∴ Power Consumed =P=V2RPAPB=RBRARA=2RB\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 PS=V23RBP_S=\frac{V^2}{3 R_B} For Parallel Combination PP=3V22RBPSPP=29\begin{aligned} & P_P=\frac{3 V^2}{2 R_B} \\ & \frac{P_S}{P_P}=\frac{2}{9} \end{aligned}
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