Maxwell's Equations

Which of the following Maxwell’s equation is valid for time varying conditions but not valid for static conditions:

Who proposed the electromagnetic theory of light? 

According to Maxwell's hypothesis, a changing electric field give rise to

If the magnetic monopole exists, then which of the Maxwell’s equation has to be modified?

The net magnetic flux of a magnetic field passing through a closed surface is

Which Maxwell's equation confirms the absence of magnetic monopole?

Which of the following equations represent Maxwell's first equation?

The net magnetic flux of a magnetic field passing through a closed surface is

Which Maxwell's equation confirms the absence of magnetic monopole?

What is Gauss's law in electrostatics?

The electric field part of an electromagnetic wave in vacuum is

$E=3.1 \mathrm{N} {\mathrm{C}}^{-1}$$\cos \left[\left(1.8 rad {\mathrm{m}}^{-1}\right)y+\left(5.4\times {10}^8 rad {\mathrm{s}}^{-1}\right)t\right]\hat{\mathrm{i}}$

The wavelength of this part of electromagnetic wave is,

Identify the incorrect Maxwell's equation out of the following options.

A thin non-conducting ring of mass $m$, radius $a$ carrying a charge $q$ can rotate freely about its own axis which is vertical. At the initial moment, the ring was at rest in horizontal position and no magnetic field was present. At instant $t=0$, a uniform magnetic field is switched on which is vertically downward and increase with time according to the law $B=B_{0}t$. Neglecting magnetism induced due to rotational motion of ring.

Match List I with List II

Chose the correct answer from the options given below

Maxwell's equation describes the fundamental laws of

The value of magnetic field between plates of capacitor a distance 1 m from centre, where electric field varied by ${10}^{10}V/m/s$

Assertion: A changing electric field produces a magnetic field.

Reason: A changing magnetic field produces an electric field.

The magnetic field between the plate of a capacitor where $r>R$ is given by (where $r$ is the distance from the axis of plates and $R$ is the radius of each plate of capacitor)

According to Maxwell's hypothesis, a changing electric field gives rise to,

A circular ring of radius $r$ is placed in a homogenous magnetic field perpendicular to the plane of the ring. The field $B$ chnages with time according to the equation $B=kt$, where $k$ is a constant and $t$ is the time. The electric field in the ring is