A plane electromagnetic wave of wave intensit | vedclass

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

Question

(D) The intensity of the wave is $I = 6 \ W/m^2$ and the area of the mirror is $A = 40 \ cm^2 = 40 	imes 10^{-4} \ m^2$.For a perfectly reflecting su

Vedclass · Accepted Answer

$1.6 	imes 10^{-10} \ kg \cdot m/s$

Vedclass · Answer

(D) The intensity of the wave is $I = 6 \ W/m^2$ and the area of the mirror is $A = 40 \ cm^2 = 40 	imes 10^{-4} \ m^2$.For a perfectly reflecting surface (mirror) held perpendicular to the wave,the radiation pressure exerts a force,and the momentum transferred per second is equal to the force exerted.The momentum transferred per second is given by $p = \frac{2U}{c}$,where $U$ is the energy incident per second $(U = I 	imes A)$ and $c$ is the speed of light $(3 	imes 10^8 \ m/s)$.Substituting the values:$p = \frac{2 	imes I 	imes A}{c} = \frac{2 	imes 6 	imes 40 	imes 10^{-4}}{3 	imes 10^8}$$p = \frac{480 	imes 10^{-4}}{3 	imes 10^8} = 160 	imes 10^{-12} = 1.6 	imes 10^{-10} \ kg \cdot m/s$.

$A$ plane electromagnetic wave of wave intensity $6 \ W/m^2$ strikes a small mirror of area $40 \ cm^2$,held perpendicular to the approaching wave. The momentum transferred by the wave to the mirror each second will be:

Similar Questions

The amplitude of the magnetic field in an electromagnetic wave propagating along the $y$-axis is $6.0 \times 10^{-7} \, T$. The maximum value of the electric field in the electromagnetic wave is:

$A$ plane electromagnetic wave is propagating along the direction $\frac{\hat{i}+\hat{j}}{\sqrt{2}},$ with its polarization along the direction $\hat{k}$. The correct form of the magnetic field of the wave would be (here $B_{0}$ is an appropriate constant)

Consider the following:
$I.$ Waves created on the surfaces of a water pond by a vibrating source.
$II.$ Wave created by an oscillating electric field in air.
$III.$ Sound waves travelling under water.
Which of these can be polarized?

Which of the following pairs of components can produce a plane electromagnetic wave propagating in a direction such that the electric field $\vec{E} = (E_x\hat{i} + E_y\hat{j} + E_z\hat{k})$ and magnetic field $\vec{B} = (B_x\hat{i} + B_y\hat{j} + B_z\hat{k})$ vary with position and time?

The electric field and magnetic field components of an electromagnetic wave going through vacuum are described by
$E_x = E_0 \sin(kz - \omega t)$
$B_y = B_0 \sin(kz - \omega t)$
Then the correct relation between $E_0$ and $B_0$ is given by

Vedclass Test Series

Exam Paper Generator

Online Exam Module