Question Detail
Question
If L is the inductance and C is the capacitance, then the dimensional representation of 1/(2π√LC) is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
The quantity 1/√(LC) is angular frequency. Dimensions: [L] = ML²T⁻²I⁻²? Actually, inductance L has dimensions ML²T⁻²I⁻². Capacitance C has dimensions M⁻¹L⁻²T⁴I². So LC has dimensions T². √(LC) has T. 1/√(LC) has T⁻¹, which is frequency.
Hint
Recall that ω = 1/√(LC) for LC circuit.