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The resistance of hot tungsten filament is about 10 times the cold resistance. What will be the resistance of 100 W and 200 V lamp when not in use ?
  • a)
    20 Ω
  • b)
    40 Ω
  • c)
    200 Ω
  • d)
    400 Ω
Correct answer is option 'B'. Can you explain this answer?
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The resistance of the lamp when not in use can be found by using Ohm's Law.

We know that the power (P) of the lamp is 100 W and the voltage (V) is 200 V. We also know that the resistance (R) when the lamp is cold is 10 times the resistance when it is hot.

Using Ohm's Law, we can write the equation P = V^2/R.

Substituting the given values, we have:

100 = 200^2 / R

Simplifying, we have:

100R = 200^2

R = 200^2 / 100

R = 400

Therefore, the resistance of the lamp when not in use is 400 ohms.
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