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JEE Mains | PYQ

A plane electromagnetic wave of frequency \( 20 \, \text{MHz} \) propagates in free space along \( x \)-direction. At a particular space and time, \( \vec{E} = 6.6 \, \hat{j} \, \text{V} / \text{m} \). What is \( \vec{B} \) at this point?

Match List I with List II.

Choose the correct answer from the options given below:

A square shaped coil of area \( 70 \,\text{cm}^{2} \) having \( 600 \) turns rotates in a magnetic field of \( 0.4 \,\text{wb m}^{-2} \), about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil completes \( 500 \) revolution in a minute, the instantaneous emf when the plane of the coil is inclined at \( 60^{\circ} \) with the field, will be _______ \( \text{V} \). (Take : \( \pi = \frac{22}{7} \) )

An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.
I. The electron will experience magnetic force along the axis of the solenoid
II. The electron will not experience magnetic force
III. The electron will continue to move along the axis of the solenoid
IV. The electron will be accelerated along the axis of the solenoid
V. The electron will follow parabolic path inside the solenoid
Choose the correct answer from the options given below :

A point source of \( 100 \, \mathrm{W} \) emits light with \( 5\% \) efficiency. At a distance of \( 5 \, \mathrm{m} \) from the source, the intensity produced by the electric field component is:

In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative \( z \)-axis and magnetic field is along the positive \( x \)-axis. Then the direction of propagation of electromagnetic wave is :

The ratio of average electric energy density and total average energy density of electromagnetic wave is:

The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by:

$E_x = E_0 \sin (kz - \omega t)$
$B_y = B_0 \sin (kz - \omega t)$
Then the correct relation between $E_0$ and $B_0$ is given by:

Match List I with List II of Electromagnetic waves with corresponding wavelength range:

Choose the correct answer from the options given below:

For the plane electromagnetic wave given by \( E=E_{0}\sin(\omega t-kx) \) and \( B=B_{0}\sin(\omega t-kx) \), the ratio of average electric energy density to average magnetic energy density is:

Which of the following frequencies do not belong to FM broadcast.

An electromagnetic wave is transporting energy in the negative \( z \) direction. At a certain point and certain time the direction of electric field of the wave is along positive \( y \) direction. What will be the direction of the magnetic field of the wave at that point and instant?

The electric field in an electromagnetic wave is given as \( \vec{E} = 20\sin \omega \left( t - \dfrac{x}{c} \right) \vec{j} \; \text{N C}^{-1} \) where \( \omega \) and \( c \) are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of \( 5\times10^{-4} \; \text{m}^{3} \) will be: 
(Given \( \varepsilon_{0}=8.85\times10^{-12} \; \text{C}^{2}/\text{N m}^{2} \))

Given below are two statements:
Statement I : Electromagnetic waves are not defected by electric and magnetic field.
Statement II : The amplitude of electric field and the magnetic field in electromagnetic waves are released to each other as \( E_{0} = \sqrt{\frac{\mu_{0}}{\varepsilon_{0}}} \, B_{0} \).
In the light of the above statement, choose the correct answer from options given below:

In \( \vec{E} \) & \( \vec{K} \) represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by: ( \( \omega \) - angular frequency)

The amplitude of magnetic field in an electromagnetic wave propagating along \( y \)-axis is \( 6.0 \times 10^{-7} \, \text{T} \). The maximum value of electric field in the electromagnetic wave is: