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NEET PHYSICSALTERNATING CURRENTEasy

Question

L, C and R represent the value of inductance, capacitance, and resistance, respectively. The factor which has the same dimensions as that of the inverse of the resonance frequency is:

A

√LC

B

1/√LC

C

C/L

D

R/L

Step-by-Step Solution

In a series LCR circuit, resonance occurs when the inductive reactance equals the capacitive reactance . The resonant angular frequency is defined as ω0=1/LC\omega_0 = 1/\sqrt{LC} . The resonant frequency (ν0\nu_0) is given by ν0=12πLC\nu_0 = \frac{1}{2\pi\sqrt{LC}} . The inverse of the resonance frequency (1/ν01/\nu_0) is therefore 2πLC2\pi\sqrt{LC}. Since 2π2\pi is a dimensionless constant , the dimensions of the inverse resonance frequency are equivalent to the dimensions of LC\sqrt{LC}, which represent time [T] .

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from ALTERNATING CURRENT. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSALTERNATING CURRENTrepresentinductancecapacitanceresistancerespectively

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