A plane electromagnetic wave has an intensity of 750W/m2. A flat, rectangular surface of dimensions 50 cm x 100 cm is placed perpendicular to the direction of the wave. The surface absorbs half of the energy and reflects half. Calculate (a) the total energy absorbed by the surface in 1.00 min and (b) the momentum absorbed in this time.

A plane electromagnetic wave has an intensity of 750W/m2. A flat, rectangular surface of dimensions 50 cm x 100 cm is placed perpendicular to the direction of the wave. The surface absorbs half of the energy and reflects half. Calculate (a) the total energy absorbed by the surface in 1.00 min and (b) the momentum absorbed in this time.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electromagnetic Waves

Section: Chapter Questions

Problem 6CQ

See similar textbooks

Similar questions

If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?
The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wave
What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?
The electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI units. a. What are the amplitudes Emax and Bmax? b. What are the angular wave number and the wavelength? c. What is the propagation velocity? d. What are the angular frequency, frequency, and period?
When electromagnetic radiation strikes perpendicular to a flat surface, a totally absorbing surface feels radiation pressure I0/c, where I0 is the intensity of incident electromagnetic radiation. A totally reflecting surface feels twice that pressure. More generally, a surface absorbs a proportion e of the incident radiation and reflects a complementary proportion, 1 - e, where e is the emissivity of the surface. Note that 0 ≤ e ≤ 1. (a) Determine the radiation pressure prad in terms of I0 and e. (b) Consider cosmic dust particles in outer space at a distance of 1.5 x 1011 m from the sun, where Isun = 1.4 kW/m2 . We can model these particles as tiny disks with e = 0.61, diameter 8.0 µm and mass 1.0 x 10-10 grams, all oriented perpendicular to the sun’s rays. What is the force on one of these particles that is exerted by the radiation from the sun? (c) What is the ratio of this force to the attractive force of gravity exerted by the sun on the particle?
A plane electromagnetic wave of intensity 6.00 W/m2, moving in the x direction, strikes a small perfectly reflecting pocket mirror, of area 40.0 cm2, held in the yz plane. (a) What momentum does the wave transfer to the mirror each second? (b) Find the force the wave exerts on the mirror. (c) Explain the relationship between the answers to parts (a) and (b).
An electromagnetic wave E = (2) sin (2π (8.1910 x 105 GHz) t- z+ (0.5000 rad)) travels along z-axis of a right-handed system of coordinates. Angle between the x-axis and the positive (+) direction of electric field oscillation is 0 = 0.9817 rad. What are the electric field strength and x,y,z- components of the electric field vector at position t = 6 fs and when z = 602 nm ? E * Z What is the electric field strength? E=1 Your last answer was interpreted as follows: 1 What is the x-component of the electric field vector? E₂ = 1 Your last answer was interpreted as follows: 1 What is the y-component of the electric field vector? E₂ = 1 Your last answer was interpreted as follows: 1 What is the z-component of the electric field vector? E₂=1 Your last answer was interpreted as follows: 1 Do not leave any fields blank. If you don't know the answer, insert 1 for example. Insert the answer with 3 significant digits without rounding the answer. Unit Constant Value c 2.9979 × 10 Quantity…
A sinusoidal electromagnetic wave propagates in the +x direction through empty space. Its electric field is described by E = (3.56E4 V/m) × sin ((2.06E11 rad/s) t – (687 rad/m) x ) . What is the magnitude of momentum density (momentum per volume) of this electromagnetic wave (in kg/s·m2)?
An electromagnetic wave of wavelength 435 nm is traveling in vacuum in the -z-direction. The electric field has amplitude 2.70 x 10-3 V/m and is parallel to the x-axis. What are (a) the frequency and (b) the magnetic-field amplitude? (c) Write the vector equations for E→ (z, t) and B→ (z, t).
A plane electromagnetic wave of intensity 6.13 W/m2 strikes a small pocket mirror, of area 38.5 cm2, held perpendicular to the approaching wave. What momentum does the wave transfer to the mirror each second and the force that the wave exerts on the mirror.?
Suppose that the electric field amplitude of an electromagnetic wave is Eo= 120 N/C and that its frequency is ν = 50.0 MHz. (a) Determine, Bo ,ω, k, and λ. (b) Find expressions for E and B.
When an electromagnetic wave travels fromone medium to another with a different speed of propagation, thefrequency of the wave remains the same. Its wavelength, however,changes. (a) If the wave speed decreases, does the wavelength increase or decrease? Explain. (b) Consider a case where the wave speeddecreases from c to 34c. By what factor does the wavelength change?