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Incandescent bulbs are designed keeping in mind that the resistance of their filament increases with the increase in temperature. If at the room temperature 100 W , 60 W and 40 W bulbs have filament resistances R 100 , R 60 and R 40 respectively, then the relation between these resistances is

Options

  1. A1 R 1 0 0 = 1 R 4 0 + 1 R 6 0
  2. BR 1 0 0 = R 4 0 + R 6 0
  3. CR 1 0 0 > R 4 0 > R 6 0
  4. D1 R 1 0 0 > 1 R 6 0 > 1 R 4 0

Correct answer

D. 1 R 1 0 0 > 1 R 6 0 > 1 R 4 0

Step-by-step solution

R = V 2 P or R ∝ 1 P ∴ 1 R 1 0 0 > 1 R 6 0 > 1 R 4 0

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