Question

A 100 watt bulb and a 200 watt bulb are designed to operate at 110 V and 220 V respectively. The ratio

of their resistances is​

Answer 1

Explanation:

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Answer 2

Answer:

The Correct Answer is 1:2. The Ratio of Resistance of a 100 Watt and a 200 Watt bulb which are designed to operate at 110 V and 220 V  is 1:2.

Explanation:

From the formula for power, we know that P = V²÷R

where, P = power of the bulb, V = voltage applied to bulb and R = resistance of bulb. This gives R = V²÷P

Let V₁ = 110 V, V₂ = 220 V

      P₁ = 100 Watt, P₂ = 200 Watt

Then, R₁ = V₁²÷P₁ and R₂ = V₂²÷P₂

R₁ = (110)²÷100

   = 121

R₂ = (220)²÷200

    = 242

Therefore, R₁÷R₂ = 121÷242 = 1/2

                  R₁ : R₂ = 1 : 2

What is Power?

Power is defined as work done per unit time by voltage.

What is Resistance?

Resistance is that property of a material because of which it opposes the flow of electric current through it.