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Q.

Two identical incandescent light bulbs are connected as shown in the figure. When the circuit is connected to an AC voltage source of frequency f, which of the followingobservations will be correct?

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a

Both bulbs will glow alternatively

b

Both bulbs will glow with same brightness provided frequency, f=12π1LC

c

Both  b1 will light up initially and goes off, bulb  b2 will be on constantly

d

Both  b1 will blink and  b2  will be on constantly

answer is B.

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Detailed Solution

Both bulbs will glow with same brightness ifXL=XC  ∵XL=ωL∵ω=2πf   2.  Xc=1ωCThe condition shown above ensures the same current in both bulbs.On simplifying we get,2πfL=12πfCor f=12πLCTherefore, the correct answer is (B).
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