JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The dimension of \(\sqrt{\frac{\mu_0}{\epsilon_0}}\) is equal to that of :
( \(\mu_0=\) Vacuum permeability and \(\epsilon_0=\) Vacuum permittivity)
- A Voltage
- B Capacitance
- C Inductance
- D Resistance
Answer & Solution
Correct Answer
(D) Resistance
Step-by-step Solution
Detailed explanation
\begin{aligned} & L=\frac{\mu_0 N A}{\ell} \\ & C=\frac{A \epsilon_0}{d} \\ & \frac{L}{C} \propto \frac{\mu_0}{\epsilon_0} \\ & \sqrt{\frac{\mu_0}{\epsilon_0}} \propto \sqrt{\frac{L}{C}} \\ & \frac{L}{C}=\frac{\tau R}{(\tau / R)}=R^2 \\ &…
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