iCON Education - Electromagnetic Waves JEE Advanced Test

Question 1: Palette 1/6

JEE Advanced 2026 MSQ

The electric field associated with an electromagnetic wave travelling in vacuum is given by

$E_0 \sin(3y + 4z + \omega t) \hat{i}$, where $\\omega$ is the angular frequency. All quantities are in SI units. The correct statement(s) about this wave is/are:

[Given: speed of light in vacuum $c = 3 \times 10^8\ \mathrm{m\,s^{-1}}$.]

The wave is travelling in $-\frac{1}{5} (3 \hat{j} + 4 \hat{k})$ direction.

The magnitude of the wave vector is $0.5\ \mathrm{m}^{-1}$.

The value of $\omega$ is $1.5 \times 10^9 \ \mathrm{rad}\ \mathrm{s}^{-1}$.

The magnetic field associated with this wave is given by $\frac{E_0}{c} \sin(3y + 4z + \omega t)(4 \hat{j} - 3 \hat{k})$.

Question 2: Palette 2/6

JEE Advanced 2023 MSQ

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

[Given: The speed of light in vacuum, $c=3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}$ ]

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

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

The wave is polarized in the $x y$-plane with polarization angle $30^{\circ}$ with respect to the $x$-axis.

The refractive index of the medium is 2.

Question 5: Palette 5/6

JEE Advanced 2015 MSQ

In terms of potential difference V, electric current I, permittivity ${\varepsilon _0}$, permeability ${\mu _0}$ and speed of light c, the dimensionally correct equation(s) is(are) :

${\mu _0}{I^2} = {\varepsilon _0}{V^2}$

${\varepsilon _0}I = {\mu _0}V$

$I = {\varepsilon _0}cV$

${\mu _0}cI = {\varepsilon _0}V$

Question 6: Palette 6/6

JEE Advanced 2013 MCQ

A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of light is 3 $\times$ 10⁸ ms^$-$1. The final momentum of the object is

0.3 $\times$ 10^$-$17 kg-ms^$-$1

1.0 $\times$ 10^$-$17 kg-ms^$-$1

3.0 $\times$ 10^$-$17 kg-ms^$-$1

9.0 $\times$ 10^$-$17 kg-ms^$-$1