An electromagnetic wave of intensity 50 W m^ | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The intensity of an electromagnetic wave is given by $I = \frac{1}{2} \epsilon_0 E^2 c$. Since the intensity remains constant as it enters the med

Vedclass · Accepted Answer

$\left( \sqrt{n}, \frac{1}{\sqrt{n}} \right)$

Vedclass · Answer

(D) The intensity of an electromagnetic wave is given by $I = \frac{1}{2} \epsilon_0 E^2 c$. Since the intensity remains constant as it enters the medium,$I_i = I_f$.Thus,$\frac{1}{2} \epsilon_0 E_i^2 c = \frac{1}{2} \epsilon E_f^2 v$,where $v = \frac{c}{n}$ and $\epsilon = n^2 \epsilon_0$.$\epsilon_0 E_i^2 c = (n^2 \epsilon_0) E_f^2 (\frac{c}{n}) \Rightarrow E_i^2 = n E_f^2 \Rightarrow \frac{E_i}{E_f} = \sqrt{n}$.For magnetic fields,$B = \frac{E}{v}$.$\frac{B_i}{B_f} = \frac{E_i / c}{E_f / v} = \frac{E_i}{E_f} \cdot \frac{v}{c} = \sqrt{n} \cdot \frac{1}{n} = \frac{1}{\sqrt{n}}$.Therefore,the ratios are $\left( \sqrt{n}, \frac{1}{\sqrt{n}} \right)$.

An electromagnetic wave of intensity $50 \ W m^{-2}$ enters a medium of refractive index $n$ without any loss. The ratio of the magnitudes of electric fields and the ratio of the magnitudes of magnetic fields of the wave before and after entering the medium are respectively given by:

Similar Questions

The amplitude of the electric field in a parallel beam of plane electromagnetic waves of intensity $53.1 \ W \ m^{-2}$ is (Permittivity of free space $\epsilon_0 = 8.85 \times 10^{-12} \ C^2 \ N^{-1} \ m^{-2}$) (in $N \ C^{-1}$)

The biological importance of the ozone layer is that:

$A$ radio can tune in to any station in the $7.5\; MHz$ to $12\; MHz$ band. What is the corresponding wavelength band?

An electromagnetic wave of frequency $3 \, GHz$ enters a dielectric medium of relative electric permittivity $2.25$ from vacuum. The wavelength of this wave in that medium will be $....... \times 10^{-2} \, cm$.

The nature of electromagnetic wave is

Vedclass Test Series

Exam Paper Generator

Online Exam Module