Question

If $\mu$ and $\epsilon$ represent the permeability and permittivity of a medium respectively, then the physical quantity having the dimensions of $\sqrt{\frac{\mu}{\epsilon}}$ is}

• A. Inductance
• B. Impedance
• C. Speed
• D. Capacitance

Hint:

Remember: \[ Z=\sqrt{\frac{\mu}{\epsilon}} \] and \[ v=\frac{1}{\sqrt{\mu\epsilon}} \] for electromagnetic waves.

Answer 1

The Correct Option is B

Concept: The intrinsic impedance of a medium is given by \[ Z=\sqrt{\frac{\mu}{\epsilon}} \] where \[ \mu = \text{Permeability} \] and \[ \epsilon = \text{Permittivity} \]

Step 1: Recall the expression for intrinsic impedance.
For an electromagnetic wave travelling through a medium, \[ Z=\sqrt{\frac{\mu}{\epsilon}} \]

Step 2: Identify the physical quantity.
The above expression directly represents the wave impedance or intrinsic impedance of the medium.

Step 3: Final conclusion.
Therefore, \[ \boxed{\sqrt{\frac{\mu}{\epsilon}}=\text{Impedance}} \]