The maxwell's equation:

$\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0\left(i+{\epsilon }_0.\frac{d{\varphi }_E}{dt}\right)$ is a statement of :

(1) Faraday's law of induction

(2) Modified Ampere's law

(3) Gauss's law of electricity

(4) Gauss's law of magnetism

A parallel plate capacitor consists of two circular plates each of radius 2 cm, separated by a distance of 0.1 mm. If the voltage across the plates is varying at the rate of $5\times {10}^{13}$ V/s, then the value of displacement current is :

(1) 5.50 A

(2) $5.56\times {10}^2<mspace\; width="1em"></mspace>A$

(3) 5.56$\times {10}^3$ A

(4) $2.28\times {10}^4<mspace\; width="1em"></mspace>A$

Displacement current is:

The energy of the X-rays photon is 3.3$\times {10}^{-16}$J. Its frequency is :

(1) $2\times {10}^{19}<mspace\; width="1em"></mspace>Hz$

(2) $5\times {10}^{18}<mspace\; width="1em"></mspace>Hz$

(3) $5\times {10}^{17}<mspace\; width="1em"></mspace>Hz$

(4) $5\times {10}^{16}<mspace\; width="1em"></mspace>Hz$

The magnetic field between the plates of radius 12 cm separated by a distance of 4 mm of a parallel plate capacitor of capacitance 100 pF along the axis of plates having conduction current of 0.15 A is

(1) zero

(2) 1.5 T

(3) 15 T

(4) 0.15 T