The electric field of an electromagnetic wave travelling through a medium is given by $\vec{E}(x, t)=25 \sin \left(2.0 \times 10^{15} t-10^7 x\right) \hat{n}$ then the refractive index of the medium is $\_\_\_\_$ .
(All given measurement are in SI units)
\text { Match the LIST-I with LIST-II }
| List-I | List-II | ||
| A. | Radio-wave | I. | is produced by Magnetron valve |
| B. | Micro-wave | II. | due to change in the vibrational modes of atoms |
| C. | Infrared-wave | III. | due to inner shell electrons moving from higher energy level to lower energy level |
| D. | X-ray | IV. | due to rapid acceleration of electrons |
Choose the correct answer from the options given below:
The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant $k=3$ and permeability of $\mu=2 \mu_0$, is ( $\mu_0=$ permeability of vacuum)
$$ \text { Match List - I with List - II. } $$
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| List - I Relation |
List - II Law |
||
|---|---|---|---|
| A. | $$ \oint \vec{E} \cdot \overrightarrow{d l}=-\frac{d}{d t} \oint \vec{B} \cdot \overrightarrow{d a} $$ |
I. | Ampere's circuital law |
| B. | $$ \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0\left(I+\epsilon_0 \frac{d \phi_E}{d t}\right) $$ |
II. | Faraday's laws of electromagnetic induction |
| C. | $$ \oint \vec{E} \cdot \overrightarrow{d a}=\frac{1}{\epsilon_0} \int_{\mathrm{v}} \rho \mathrm{dv} $$ |
III. | Ampere - Maxwell law |
| D. | $$ \oint \vec{B} \cdot \overrightarrow{d l}=\mu_0 I $$ |
IV. | Gauss's law of electrostatics |
Choose the correct answer from the options given below :
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