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CUET · PHYSICS · PYQ PAPER 2023

An electric motor operating on a 50 V dc supply draws a current of 12 A. If the efficiency of the motor is 30%, the estimated resistance of the motor would be :

  1. A 1.9 \( \Omega \)
  2. B 1.5 \( \Omega \)
  3. C 2.7 \( \Omega \)
  4. D 2.9 \( \Omega \)
Verified Solution

Answer & Solution

Correct Answer

(D) 2.9 \( \Omega \)

Step-by-step Solution

Detailed explanation

\( P_{in} = V \times I = 50 \, V \times 12 \, A = 600 \, W \) \( P_{out} = \eta \times P_{in} = 0.30 \times 600 \, W = 180 \, W \) \( P_{loss} = P_{in} - P_{out} = 600 \, W - 180 \, W = 420 \, W \)…