Question

Which will have higher resistance: a 50w lamp bulb or a 25w lamp bulb and by how many times?

Answer 1

iven two bulbs.

POWER OF FIRST BULB=P1=50W

POWER OF SECOND BULB=P2=25 W

If same voltage V is used for two bulbs.

Then,

P=V^2/R

We can see that POWER is inversely proportional to RESISTANCE.

A bulb with more power will have less RESISTANCE.

So, bulb with 25W will offer more RESISTANCE.

R1=V^2/P1

R2=V^2/P2

R1/R2= P2/P1

R1/R2=25/50=1/2

R12=2R1

THEREFORE , SECOND BULB WITH POWER 25W WILL OFFER MORE ( DOUBLE) RESISTANCE THAN FIRST BULB.

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