MCQ
The electric field in a plane electromagnetic wave is given by

$\overrightarrow{{E}}=200 \cos \left[\left(\frac{0.5 \times 10^{3}}{{m}}\right) {x}-\left(1.5 \times 10^{11} \frac{{rad}}{{s}} \times {t}\right)\right] \frac{{V}}{{m}} \hat{{j}}$

If this wave falls normally on a perfectly reflecting surface having an area of $100 \;{cm}^{2}$. If the radiation pressure exerted by the $E.M.$ wave on the surface during a $10\, minute$ exposure is $\frac{{x}}{10^{9}} \frac{{N}}{{m}^{2}}$. Find the value of ${x}$.

  • A
    $254$
  • $354$
  • C
    $154$
  • D
    $54$

Answer

Correct option: B.
$354$
b
${E}_{0}=200$

${I}=\frac{1}{2} \varepsilon_{0} {E}_{0}^{2} \cdot {C}$

Radiation pressure

$P=\frac{2 I}{C}$

$=\left(\frac{2}{C}\right)\left(\frac{1}{2} \varepsilon_{0} E_{0}^{2} C\right)$

$=\varepsilon_{0} E_{0}^{2}$

$=8.85 \times 10^{-12} \times 200^{2}$

$=8.85 \times 10^{-8} \times 4$

$=\frac{354}{10^{9}}$

Ans. $354.0$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Current $l$ versus time $t$ graph through a conductor is shown in the figure. Average current through the conductor in the interval $0$ to $15 \,s$ is ............ $A$
The network shown in the figure is a part of a complete circuit. If at a certain instant the current $i$ is $5\, A$ and is decreasing at the rate of ${10^3}A/s$ then ${V_A} - {V_B}$ is......$ V$
A certain piece of silver of given mass is to be made like a wire. Which of the following combination of length (L) and the area of cross-sectional (A) will lead to the smallest resistance
An insulator plate is passed between the plates of a capacitor. Then, current:
The current $i$ in an induction coil varies with time $t$ according to the graph shown in figure. Which of the following graphs shows the induced $emf \,(e)$ in the coil with time ?
The fission of $_{235}U$ can be triggered by the absorption of a slow neutrons by a nucleus. Similarly a slow proton can also be used. This statement is
To which region of electromagnetic spectrum the frequency $1\, GHz$ corresponding?
A person wear normal spectacles in which the distance of glasses and eyes is approximately $2\, cm ,$ then power required is $-5 \,D$. If he wears contact lens, then the required power is ......... $D$
Orbits in which electrons move according to Bohr are:
Assertion : We can measure the potential barrier of a PN junction by putting a sensitive voltmeter across its terminals.
Reason : The current through the PN junction is not same in forward and reversed bias.