The electric field associated with an... | EM Waves

JEE Advanced 2023

Paper-2 2023

Multiple correct answers - Select all that apply

Question

The electric field associated with an electromagnetic wave propagating in a dielectric medium is given by $\overrightarrow{\mathrm{E}}=30(2 \hat{\mathrm{x}}+\hat{\mathrm{y}}) \sin \left[2 \pi\left(5 \times 10^{14} \mathrm{t}-\frac{10^7}{3} \mathrm{z}\right)\right] \mathrm{Vm}^{-1}$. Which of the following option(s) is(are) correct?
[Given: The speed of light in vacuum, $\mathrm{c}=3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}$ ]

Select ALL correct options:

$B_x=-2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} \mathrm{t}-\frac{10^7}{3} \mathrm{z}\right)\right] \mathrm{Wbm}^{-2}$

$B_y=2 \times 10^{-7} \sin \left[2 \pi\left(5 \times 10^{14} \mathrm{t}-\frac{10^7}{3} \mathrm{z}\right)\right] \mathrm{Wbm}^{-2}$

The wave is polarized in the 𝑥𝑦-plane with polarization angle 30° with respect to the 𝑥-axis.

The refractive index of the medium is 2.

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution