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A light bulb is rated for 60 W, 240 V. Find the resistance of the bulb.
1. 960 Ω
2. 1000 Ω
3. 860 Ω
4. 4 Ω

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Correct Answer - Option 1 : 960 Ω

Concept:

 
  • Electric bulb: It is an electric device that converts electric energy into heat and light energy.
    • Resistance of the bulb \(R = \frac{{{{\left( {Rated\;voltage} \right)}^2}}}{{\left( {Rated\;power} \right)}}\)
    • If we consider the bulb as a resistor then, we can easily find the current and voltage drops.
    • \(Power\;consumed = {i^2}R\)
    • Power consumed ∝ Brightness
  • Loads connected in parallel: The voltage across each load connected in parallel is the same. 
    • The total current is the sum of the individual currents flowing through each of the loads connected in parallel.
    • In a parallel combination of different bulbs, the bulb with the highest wattage glows with maximum brightness because of small resistance.

The power dissipated through a load is given by:

P = VI

Where V is the voltage across the load, and I is the current flowing through the load.

Calculation:

P = 60 W

V = 240 V

\(R=\frac{V^2}{P}=\frac{240^2}{60}=960\; Ω \)

The resistance of the bulb is 960 Ω.

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