MHT CET · Physics · Alternating Current
In an LC circuit, angular frequency at resonance is \(\omega\). The new angular frequency when inductance is made four times and capacitance is made eight times is
- A \(\frac{\omega}{2 \sqrt{2}}\)
- B \(\frac{\omega}{4 \sqrt{2}}\)
- C \(\frac{\omega}{4}\)
- D \(\frac{\omega}{\sqrt{2}}\)
Answer & Solution
Correct Answer
(B) \(\frac{\omega}{4 \sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\(\omega = \frac{1}{\sqrt{LC}}\) \(\omega' = \frac{1}{\sqrt{(4L)(8C)}} = \frac{1}{\sqrt{32LC}}\)
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