MHT CET · Physics · Alternating Current
In an LC circuit, angular frequency at resonance is ' \(\omega\) '. What will be the new angular frequency when inductor's inductance is made two times and capacitor's capacitance is made four times?
- A \(\frac{\omega}{2 \sqrt{2}}\)
- B \(\frac{\omega}{\sqrt{2}}\)
- C \(2 \omega\)
- D \(\frac{2 \omega}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(A) \(\frac{\omega}{2 \sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(\omega = \frac{1}{\sqrt{LC}}\) \(\omega' = \frac{1}{\sqrt{(2L)(4C)}}\)
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