Two bulbs are rated as 80 W, 220 V and 120 W, 220 V respectively. The ratio of…

2024

Two bulbs are rated as 80 W, 220 V and 120 W, 220 V respectively. The ratio of their resistances is:

  1. A.

    2:1

  2. B.

    3:2

  3. C.

    2:3

  4. D.

    1:2

  5. E.

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Correct answer: B

The resistance of a bulb is calculated using the formula R = V²/P. Since both bulbs operate at the same voltage of 220 V, resistance is inversely proportional to power. The ratio of resistances R₁:R₂ equals the inverse ratio of their powers, which is 120:80. Simplifying this fraction gives 3:2.

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