NEET 2019
- Exam
- NEET
- Year
- 2019
- Subject
- Physics
- Chapter
- Electromagnetic Waves
NEET 2019 · Physics · Electromagnetic Waves
For a transparent medium relative permeability and permittivity μ_...
For a transparent medium relative permeability and permittivity and are 1.0 and 1.44 respectively. The velocity of light in this medium would be
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
The speed of any electromagnetic wave (EM) like light in any medium of permeability, and permittivity, is given by
Also, and where, and are permeability and permittivity in free space and and are relative permeability and relative permittivity of medium respectively.
Here,
\begin{aligned}
\therefore \quad \quad \quad \mathrm{v} & =\frac{1}{\sqrt{\mu_{\mathrm{r}} \varepsilon_{\mathrm{r}} \mu_0 \varepsilon_0}}=\frac{\mathrm{c}}{\sqrt{\mu_{\mathrm{r}} \varepsilon_{\mathrm{r}}}} \quad\left[\because \mathrm{c}=\frac{1}{\sqrt{\mu_0 \varepsilon_0}}\right] \\
& =\frac{3 \times 10^8}{\sqrt{1 \times 1.44}} \\
& =2.5 \times 10^8 \mathrm{~ms}^{-1}
\end{aligned}