Question

If R₁ and R₂ be the resistance of the filament of 40 W and 60 W respectively operating 220 V, then:

Options

• R₁ < R₂

• R₂ < R₁

• R₁ = R₂

• R₁ ≥ R₂

Answer 1

R₂ < R₁

Explanation:

Using power, P = `"V"^2/"R"` or R = `"V"^2/"P"`

For the same voltage, `"R" ∝ 1/"P"`

More the power, lesser the resistance.

Accordingly, R₂ < R₁