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Alternating Current

  1. A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillations of frequency f. If L is doubled and C is changed to 4C, the frequency will be​​
    1. ​8f ​
    2. f/2√2
    3. f/2 ​
    4. ​f/4
Correct Option: B

​We know that frequency of electrical oscillation in L.C. circuit is
ƒ = (1/2π)√(1/LC)
Now, L = 2L & C = 4C
ƒ' = (1/2π)√(1/2L.4C) = (1/2π) √(1/LC) × (1/2√2)

⇒ ƒ' =1× ƒ
2√2



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