NEET Physics Electromagnetic Waves MCQs

A monochromatic electromagnetic wave propagates in vacuum. If its electric field amplitude is $E_0$ and magnetic field amplitude is $B_0$, which of the following relations is NOT correct?

A source emits electromagnetic radiation with a peak wavelength of $\lambda_1$ at temperature $T_1$. If the temperature is increased to $T_2 = 4T_1$, what will be the new peak wavelength $\lambda_2$?

A wave propagating along a string is described by $y(x,t) = 0.005\sin(80.0x - 3.0t)$, where $x$ and $y$ are in meters and $t$ is in seconds. If the linear mass density of the string is $0.004\ kg/m$, what is the average power transmitted by the wave?

Two waves on a string are described by $y_1(x,t) = A\cos(kx - \omega t)$ and $y_2(x,t) = A\cos(kx + \omega t + \phi)$. For what value of $\phi$ will the resultant wave have an amplitude of $A$?

A standing wave on a string fixed at both ends is described by $y(x,t) = 0.04\sin(2\pi x)\cos(100\pi t)$ (in SI units). The fundamental frequency of the string is:

The equation of a transverse wave on a string is $y = A\sin(\omega t - kx)$. The maximum transverse speed of a particle on the string is related to the wave speed $v$ by:

A parallel plate capacitor with circular plates of radius $R$ is being charged. At a distance $r < R$ from the axis, the displacement current density is $J_d$. What is the rate of change of electric field between the plates at this distance?

In a region of space, the electric field is given by $\vec{E} = E_0 sin(\omega t) \hat{k}$. A circular loop of radius $r$ lies in the $xy$-plane. What is the amplitude of the magnetic field induced at a distance $r$ from the center due to the displacement current?

A plane electromagnetic wave propagates in vacuum. The electric field is given by $\vec{E} = E_0 cos(kz - \omega t) \hat{i}$. What is the magnitude of the associated magnetic field?

A parallel plate capacitor is filled with a dielectric material of permittivity $\epsilon$. The plates have area $A$ and separation $d$. If the capacitor is charged to a voltage $V$, what is the magnitude of the displacement current density while the capacitor is charging?