QNEET-2023-Ph-257: NEET 2023 Physics - Class 12 NEET-2023-Ph-257 Solution: In a series LCR circuit the inductance L is 10 mH capacitance C …

The goal is to find the frequency at which resonance occurs in a series LCR circuit. To achieve resonance, the inductive reactance ( X L ) should equal the capacitive reactance ( X C ). Given are: Inductance, L = 10   mH = 10 _ 10 _ 3   H Capacitance, C = 1   _ F = 1 _ 10 _ 6   F Resistance, R = 100   � (which does not directly impact the resonance frequency) Resonance occurs when the angular frequency ( _ ) meets the condition _ L = 1 _ C , leading to the formula for calculating the resonance frequency ( f ) as f = _ 2 � = 1 2 � L C . Substituting the given values: f = 1 2 � 10 _ 10 _ 3 _ 1 _ 10 _ 6 = 1.59 kHz Thus, the frequency at which resonance occurs in this LCR circuit is 1.59 kHz.