Question

The unit of \( \sqrt{LC} \) (where \( L \) is inductance and \( C \) is capacitance) is:

• A. hertz
• B. henry
• C. farad \( \times \) henry
• D. second

Hint:

The product of inductance and capacitance represents the square of time dimension.

Answer 1

The Correct Option is D

Step 1: The dimensional formula of inductance \( L \) is \( \text{[ML}^2\text{T}^{-2}\text{A}^{-2}] \) and for capacitance \( C \) is \( \text{[M}^{-1}\text{L}^{-2}\text{T}^{4}\text{A}^{2}] \). Step 2: Their product gives: \[ \sqrt{LC} \propto T \] \[ \boxed{\text{Unit: Second}} \]