If two electric bulbs have 40 w and 60 w rating at 220v then ratio of their resistance will be

Two electric bulbs A and B are marked 220 V, 40 W and 220 V, 60 W respectively. Which one of these bulbs has higher resistance?

Given, two electrical bulbs.
Potential across first bulb, V1= 220 V
Power of first bulb, P1= 40 W
Potential across second bulb, V2 = 220 V
Power of second bulb, P2 = 60 WNow,

P = V

2/R or R = V2

/P i.e., R ∝ 1/P.Resistance is inversely proportional to power.

Therefore, the first bulb having lesser power has higher resistance.

If two electric bulbs have 40 w and 60 w rating at 220v then ratio of their resistance will be

If two electric bulbs have 40 w and 60 w rating at 220v then ratio of their resistance will be
If two electric bulbs have 40 w and 60 w rating at 220v then ratio of their resistance will be

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If two electric bulbs have 40 w and 60 w rating at 220v then ratio of their resistance will be

If two electric bulbs have 40 W and 60 W ratings at 220 V, then the ratio of their resistances will be

Options

(a) (3:2) (b) (2:3) (c) (3:4)

(d) (4:3)

Correct Answer:

(3:2)

Explanation:

P = V² / R

⇒ R₁ / R₂ = P₂ / P₁ = 60 / 40 = 3 / 2 = 3 : 2