Learning Goal:To understand polarization of light and how to useMalus's law to calculate the intensity of a beam of lightafter passing through one or more polarizing filters.The two transverse waves shown in the figure(Figure 1)both travel in the +z direction. The waves differ in that thetop wave oscillates horizontally and the bottom waveoscillates vertically. The direction of oscillation of a waveis called the polarization of the wave. The upper wave isdescribed as polarized in the +x direction whereas thelower wave is polarized in the +y direction. In general,waves can be polarized along any direction.Recall that electromagnetic waves, such as visible light,microwaves, and X rays, consist of oscillating electric andmagnetic fields. The polarization of an electromagneticwave refers to the oscillation direction of the electric field,not the magnetic field. In this problem all figures depictinglight waves illustrate only the electric field.Figure4 of 420Polarizer 2IncidentnaturallightPolarizer 1.90°Express your answer as a decimal number times the symbol I. For example, if Io = (1/4)I, enter 0.25 * I.Io = 21SubmitPrevious AnswersPart EA beam of unpolarized light with intensity Io falls first upon a polarizer with transmission axis TA,1 then upon a secondpolarizer with transmission axis TA,2, where OTA,2 - OTA,1 90 degrees (in other words the two axes are perpendicular toone another). What is the intensity I2 of the light beam emerging from the second polarizer? (Figure 4)Express your answer as a decimal number times the symbol Io. For example, if I₂ = (1/4) Io, enter 0.25 * I_0.► View Available Hint(s)IVE ΑΣΦ?I2 =SubmitPart F Complete previous part(s)< Return to AssignmentCorrectProvide Feedback

E) Intensity of incident unpolarised light = IoThe angle between the transmission axis of the two…

Part E A beam of unpolarized light with intensity Io falls first upon a polarizer with transmission axis TA,1 then upon a second polarizer with transmission axis TA,2, where OTA,2-0TA,1 = 90 degrees (in other words the two axes are perpendicular to one another). What is the intensity I₂ of the light beam emerging from the second polarizer? (Figure 4) Express your answer as a decimal number times the symbol Io. For example, if I₂ = (1/4) Io, enter 0.25 * I_0. ▸ View Available Hint(s) SEREN ? 15. ΑΣΦ I₂ =

Part E A beam of unpolarized light with intensity Io falls first upon a polarizer with transmission axis TA,1 then upon a second polarizer with transmission axis TA,2, where OTA,2-0TA,1 = 90 degrees (in other words the two axes are perpendicular to one another). What is the intensity I₂ of the light beam emerging from the second polarizer? (Figure 4) Express your answer as a decimal number times the symbol Io. For example, if I₂ = (1/4) Io, enter 0.25 * I_0. ▸ View Available Hint(s) SEREN ? 15. ΑΣΦ I₂ =

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)...

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At one instant, the electric and magnetic fields at one point of an electromagnetic wave are E = (230i +350 - 60k) V/m and B = (7.11 7.5j + ak)Bo. Sy = 190 Submit Part E m² Previous Answers Correct Find the z-component of the Poynting vector. Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) Submit μA S₂ = -230 W m² Previous Answers Request Answer ? X Incorrect; Try Again; 4 attempts remaining
A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 4.70 V/m, what is the magnitude of the magnetic field of the wave at this same point in space and instant in time? Express your answer in teslas. B = Π| ΑΣΦ ? T
Chapter 35, Problem 033 Your answer is partially correct. Try again. Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E1 = (3.0 x 10-5 v/m) sin[(2.0 × 1014 rad/s)t] E2 = (6.0 x 10-6 V/m) sin[(2.0 x 1014 rad/s)t + 45°] Ez = (6.0 x 10-6 V/m) sin[(2.0 × 1014 rad/s)t - 45°] E = µV/m ) sin[(l 2.00 x 1014 | rad/s )t + ° (degrees)
The magnetic field of an electromagnetic wave in a vacuum is B₂ = (2.6μT) sin((1.15 x 107) - wt), where x is in m and t is in S. You may want to review (Pages 889 -892). For help with math skills, you may want to review: Rearrangement of Equations Involving Multiplication and Division ▼ Part A What is the wave's wavelength? Express your answer to three significant figures and include the appropriate units. λ = Submit Part B f = Submit Part C MÅ Eo = Value What is the wave's frequency? Express your answer to three significant figures and include the appropriate units. Submit Request Answer μÀ Value Request Answer Units PHμÅ Value Request Answer Units ASSO What is the wave's electric field amplitude? Express your answer to two significant figures and include the appropriate units. 49999 Units ? AWYV ?
A laser emits a cylindrical beam of light 3.8 mm in diameter. The average power of the laser is 3.0 mW. The laser shines its light on a perfectly absorbing surface. Part A How much energy does the surface receive in 15 s ? Express your answer using two significant figures. —| ΑΣΦ E = Submit Part B What is the radiation pressure exerted by the beam? Express your answer using two significant figures. VE ΑΣΦ pressure av Request Answer Submit = Request Answer ? mJ ? μРа
A laser emits a cylindrical beam of light 3.0 mm in diameter. Part A If the average power of the laser is 2.0 mW , what is the rms value of the electric field in the laser beam? Express your answer using two significant figures. ? Erms = 4.43 kV/m Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Provide Feedback
Malus's Law Below is an image of light with initial intensity lo = 750.0 W/m² going through 2 polarizing filters. The first polarizing filter is oriented with vertical polarization. The angle between the two polarizing filters is 0 = 35.0 degrees. The light is initially polarized horizontal before entering the first polarizing filter. What is the intensity of the light at l, (after passing through both filters)? Make sure to give your answer in units of W/m² and with an appropriate number of significant figures. Polarizing Filter, Polarizing Filter, Io 12 Your Answer: Answer
Yellow light with wavelength 600 nm is travelling to the right (in the positive x direction) in vacuum. The light is polarized along the +y direction. The light passes an observer X located on the x axis. (a) Draw a neat labeled movie mode vector picture of the wave at the location of AX. (b) If the wave were to represent blue light instead of yellow light, how would your diagram in part a change? Draw a new diagram to explain these changes. If there is no change, say so explicitly.
2 Problem 2 Assume two adjacent interstellar gas clouds with known thickness dị and d2 found in front of an astronomical light source. Suppose that this source emits a beam of radiation with known specific intensity 1, as it enters the first cloud of interstellar gas. Calculate the specific intensity I, immediately after this beam has traversed the two clouds of gas. Assume that the densities (p1 and p2) and the opacities (k,1 and ky,2) are constant within the clouds and are known quantities and that these clouds possess no emissivity. (Note the relationship between the opacity and absorption coefficient a, = pk,. See Rybicki and Lightman eq. 1.22.) %3D