Question
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Answer (Detailed Solution Below)
Option 3 : $500\ \mathrm{rad/s}$ / $500\ \mathrm{rad/s}$
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Detailed Solution
सही उत्तर $500\ \mathrm{rad/s}$ / $500\ \mathrm{rad/s}$ है।
Key Points
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prepsnap.in • Part -AQuestion:
In a series LCR circuit with $L = 0.5\ \mathrm{H}$ and $C = 8\ \mu\mathrm{F}$, the resonant angular frequency is: / $L = 0.5\ \mathrm{H}$ और $C = 8\ \mu\mathrm{F}$ वाले श्रेणी LCR परिपथ में अनुनादी कोणीय आवृत्ति है:
1.
$250\ \mathrm{rad/s}$ / $250\ \mathrm{rad/s}$
2.
$400\ \mathrm{rad/s}$ / $400\ \mathrm{rad/s}$
3.
$500\ \mathrm{rad/s}$ / $500\ \mathrm{rad/s}$
4.
$1000\ \mathrm{rad/s}$ / $1000\ \mathrm{rad/s}$
Correct Answer: $500\ \mathrm{rad/s}$ / $500\ \mathrm{rad/s}$
$\omega_0 = 1/\sqrt{LC} = 1/\sqrt{0.5 \times 8 \times 10^{-6}} = 1/(2 \times 10^{-3}) = 500\ \mathrm{rad/s}$. / $\omega_0 = 1/\sqrt{LC} = 1/\sqrt{0.5 \times 8 \times 10^{-6}} = 1/(2 \times 10^{-3}) = 500\ \mathrm{rad/s}$।
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