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JEE Main 2020 (7 Jan, Shift 1) · LC Oscillations

LC Oscillations question from JEE Main 2020 (7 Jan, Shift 1)

Q18JEE Main 2020 · 7 JAN · SHIFT 1Medium

LC Oscillations

A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence would be:

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Answer: (c)

LCR: $L\ddot{q} + R\dot{q} + \frac{q}{C} = 0$
Spring-mass: $m\ddot{x} + b\dot{x} + kx = 0$
Comparing term by term: $L \leftrightarrow m$ , $R \leftrightarrow b$ , $\frac{1}{C} \leftrightarrow k$ , i.e. $C \leftrightarrow \frac{1}{k}$ .
So the answer is (c).

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