COMEDK · Physics · 2. Units and Dimensions
The square root of the product of inductance and capacitance has the dimension of
- A length
- B mass
- C time
- D no dimension
Answer & Solution
Correct Answer
(C) time
Step-by-step Solution
Detailed explanation
We know that, in \(L-C-R\) series resonant circuit, resonance frequency, \(\begin{aligned} f &=\frac{1}{2 \pi \sqrt{L C}} \\ \Rightarrow \sqrt{L C} &=\frac{1}{2 \pi f} \end{aligned}\) \(\Rightarrow \sqrt{L C}=\frac{1}{\omega} \quad[\omega=\) angular frequency \(]\)…
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