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Q.

Two electric bulbs rated 25 W, 220 V and 100 W, 220 V are connected in series across a 220 V voltage source. The 25W and 100 W bulbs now draw P1 and P2 powers, respectively.

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a

P1=16W

b

P1=4W

c

P2=16W

d

P2=4W

answer is A.

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Detailed Solution

Let V = 200 V and R1 and R2 be the resistances of the 25 W and 100 W bulbs.

P1=25=V2/R1 or R1=V2/25 and R2=V2/100

Question Image

When the bulbs are joined in series, the current is

I=VR1+R2

Power in the 25 w bulb is R1I2 and in the 100 w bulb is R2I2.

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