1.

Calculate the ratio of the resistance of two bulbs of power 100w and 200w

Answer»

Since, P = V^2 / R .....(i)
Then ,

Case I
P1 = 100W
From (i)
V^2 / R = 100W = P1 .....(ii)

Case II
P2 = 200W
From (i)
V^2 / R = 200W = P2 ......(iii)

Now,
P1 / P2 = 100W / 200W
V^2 / R1 1
------------- = -----
V ^2 / R2 2

THEREFORE , R1 / R2 = 1 /2.

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Hope it helps...
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