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NCERT Class XII Chapter
Alternating Current
Questions With Solutions

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Question : 7 of 26
Marks: +1, -0
A charged 30 μF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
Solution:  
Angular frequency of LC oscillations
ω = 1LC\frac{1}{\sqrt{LC}} = 127×10−3×30×10−6\frac{1}{\sqrt{27 \times 10^{-3} \times 30 \times 10^{-6}}}
ω = 19×10−4\frac{1}{9 \times 10^{-4}} = 19×104\frac{1}{9} \times 10^4 rad/s = 1.1 × 10310^{3} rad/s
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