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JEE Advanced2010PhysicsCurrent ElectricityActual

Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, 100 ~W , 60 ~W and 40 ~W bulbs have filament resistances R₁₀₀, R₆₀ and R₄₀ , respectively, the relation between these resistances is

Options

  1. A1 R₁₀₀ = 1 R₄₀ + 1 R₆₀
  2. BR₁₀₀=R₄₀+R₆₀
  3. CR₁₀₀>R₆₀>R₄₀
  4. D1 R₁₀₀ > 1 R₆₀ > 1 R₄₀

Correct answer

D. 1 R₁₀₀ > 1 R₆₀ > 1 R₄₀

Step-by-step solution

R= V^2 P or R 1 P 1 R₁₀₀ > 1 R₆₀ > 1 R₄₀ Hence, the correct option is (d).

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