Electromagnetic...

Calculate the wavelength of electromagnetic waves of frequency $$300 \,MHz.$$

Which of the following relations is correct for electromagnetic waves:

The electric field part of an electromagnetic wave in a medium is represented by 
$$E_x=0$$
$$E_y=2.5\dfrac{N}{C}\cos\left[\left(2\pi \times10^6\dfrac{rad}{s}\right)t-\left(\pi \times10^{-2}\dfrac{rad}{m}\right)x\right]$$;
$$E_z=0$$. The wave is :

Wavelength of, monochromatic light is $$5000 \mathring A$$. It's wave number is:

The electric field of an electromagnetic wave in free space is given by $$\vec{E} =10cos (10^7 t + kx) \hat j V/m$$ where t and x are in seconds and metres respectively. It can be iferred that
(i) the wavelength $$\lambda$$ is 188.4 m.
(ii) the wave number k is 0.33 rad/m
(iii) the wave amplitude is 10 V/m
(iv) the wave is propagating along +x direction
Which one of the following pairs of statements is correct ?

Two waves having same velocity enter electric and magnetic fields respectively. If $$\lambda _{1}$$and$$\lambda _{2}$$ are their wavelengths as they move in the fields, then

A monochromatic light of wavelength 589 nm is incident from air onto water surface. The refractive index of water is 1.33. What is the wavelength and speed of refracted light?

A standing em wave frequency $$2.2\times { 10 }^{ 10 }Hz$$ is produced in a certain material nodal planes of magnetic field are $$3.5mm$$ apart. Find wavelength and speed of the wave in this material.

A radio wave of frequency $$90MHz$$ (FM) enter into a ferrite rod. If $${ \varepsilon  }_{ r }={ 10 }^{ 3 }$$ and $${{\mu}_{r}}=10$$, then the velocity and wavelength radio wave in ferrite rod is:

A parallel plate capacitor consists of two circular plates each of radius $$12cm$$ and separated by $$5.0mm$$. The capacitor is being charged by an external source. The charging current is constant and is equal to $$0.15A$$.