Light of wavelength A, traveling horizontally, falls upon a square vane of area A. The vane is suspended by a quartz fiber of torsional constant k. Half of the vane is perfectly reflecting, while the other half, perfectly absorbing, as indicated in the figure below. Find the equilibrium angle between the direction of propagation of the light wave and the plane of the vane. (Denote by Eo the amplitude of the electric field vector).

Light of wavelength A, traveling horizontally, falls upon a square vane of area A. The vane is suspended by a quartz fiber of torsional constant k. Half of the vane is perfectly reflecting, while the other half, perfectly absorbing, as indicated in the figure below. Find the equilibrium angle between the direction of propagation of the light wave and the plane of the vane. (Denote by Eo the amplitude of the electric field vector).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Unpolarized light passes through two ideal Polaroid sheets. The axis of the first is vertical and the axis of the second is at 40.0° to the vertical. What fraction of the incident light is transmitted? Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I₁ = = 11.0 units (arbitrary). Calculate the transmitted intensity I, when 0₁ = 21.0°, 0₂ = 41.0°, and 03 = 59.0°. Hint: Make repeated use of Malus's law. 1 units If= = I; 0₁ 02 03
Consider the geometry shown in the figure. The upper right quadrant is filled with a medium with a refractive index V3 and the rest of space is vacuum. A plane wave is n2 = incident on the xy plane from the left with an incident angle "1 = of 60 degrees. Its electric field is linearly polarized along the y direction. Find the power reflection and transmission coeffi- cients at the ryY plane and at the yz plane, respectively. What if the electric field is polarized in the xz plane? n2 = V3 y O
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 0, = 19.0°, 0, = 41.0°, and 0, = 59.0°. Hint: Make repeated úse of Malus's law. If = units 02 I
Two light sources of identical strength are placed 10m apart. An object is to be placed at a point P on a line l, parallel to the line joining the light sources and at a distance d meters from it (see the figure). We want to locate P on, so that the intensity of illumination is minimized. We need to use the fact that the intensity of illumination for a single source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. a) Find an expression for the intensity l(x) at the point P. b) If d = 5m, use graphs of l(x) and l'(x) to show that the intensity is minimized when x = 5m, that is, when P is at the midpoint of l. c) If d = 10m, show that the intensity (perhaps surprisingly) is not minimized at the midpoint. d) Somewhere between d = 5m and d = 10m there is a transitional value of d at which the point of minimal illumination abruptly changes. Estimate this value of d by graphical methods. Then find the exact value…
In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 8₁, 82, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 8₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 82. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when 82 = 34⁰? (a) M 90° (b) 18002
Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 8, 15.0°, 0,= 45.0°, and 83=57.0°. Hint: Make repeated use of Malus's law. I₁ = units 4, 8₁
In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets.The angles 0₁, 02, and 83 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles 0₁ and 83 are fixed, but angle 82 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 0₂. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 82 = 92⁰? Number Units 60° (b) 120° 180-
A flashlight is used to propel an 85 kg reflective load in space. If the flashlight emits 1W of light in a parallel beam for 1 hour, and the entire beam falls on the surface of the load, find how far the load will have moved at the end of the hour. Assuming it started at rest. (Hint: the force, mass, and acceleration are related through F=m*a; you should also use the physics equation relating position, velocity, and acceleration).
A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.
= The electric fields of two harmonic waves of angular frequency w, and we are given by E₁ E₁,0cos (k₁y + w₁t)i and E2 = E2,0cos (k₁y-w₂t)î. Find (a) the instantaneous Poynting vector for the resultant wave motion and (b) the time-average Poynting vector. If the direction of propagation of the second wave is reversed, find (c) the instantaneous Poynting vector for the resultant wave motion and (d) the time -average Poynting vector.
An electromagnetic wave generator in a vacuum emits radiation that at very long distances It can be considered as a flat wavefront. For a certain observer, waves have a electric field given by: Picture 2.1 and the average power with which radiation falls on a plane with an area of 2.0 m2 is 2.554 × 1017 W, with an angle of incidence of 45°. Suppose the Poynting vector points in the direction of the positive ?-axis 1. Write the corresponding vector equation for the magnetic field of this wave, in function of position and time. 2. Write the Poynting vector equation as a function of time and position