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Q.

A 100 watt bulb and a 200 watt bulb are designed to operate at 110 V and 220 V respectively. The ratio of their resistances is

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a

1

b

12

c

13

d

14

answer is B.

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Detailed Solution

P1P2=100200=12. Now P = V2/ R. Therefore, P1P2=v12R1×R2V22=1102R1×R22202=R24R1

But P1/ P2 = 1/2. Therefore, R1/ R2 = 1/2.

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