Physics Current Electricity NUMS 2020
PMDC Verified Question 84 of 112
The power of an electric bulb is 100W. It is connected to 110V power is supply. The resistance of electric bulb will be?
A
11 \(\Omega\)
B
121 \(\Omega\)
C
20 \(\Omega\)
D
200 \(\Omega\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 121 \(\Omega\)
Concept:

The power rating of a device is related to its internal resistance and the operating voltage.

Formula:

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

Solution:

  • Given Voltage \( V = 110 \text{ V} \).


  • Power \( P = 100 \text{ W} \).


  • \( R = \frac{(110)^2}{100} = \frac{12100}{100} = 121 \, \Omega \).


Why other options are incorrect:

  • Opt A: This is \( V/P \), which is meaningless dimensionally.


  • Opt C, D: Mathematical errors.

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