please solve this problem PROBLEM Unpolarized light is incident upon three polarizers. The first polarizer has a verticaltransmission axis, the second has a transmission axis rotated 30.0° with respect to the first, and the thirdhas a transmission axis rotated 75.0° relative to the first. If the initial light intensity of the beam is Icalculate the light intensity after the beam passes through (a) the second polarizer and (b) the thirdpolarizer.STRATEGY After the beam passes through the first polarizer, it is polarized and its intensity is cut inhalf. Malus's law can then be applied to the second and third polarizers. The angle used in Malus's lawmust be relative to the immediately preceding transmission axis.SOLUTION(A) Calculate the intensity of the beam after it passes through the second polarizer.The incident intensity is 1/2. ApplyMalus's law to the second polarizer.212 = 10 cos²0=cos² 30º =((32") ² = 3/8 12(B) Calculate the intensity of the beam after it passes through the third polarizer.The incident intensity is now 31,/8.31,213=12 cos²0=31cos² 45⁰ m²3/4 ((2) ²)² = 3/16 1Apply Malus's law to the third polarizer.8LEARN MOREREMARKS Notice that the angle used in part (b) was not 75.0°, but 75.0° -30.0° = 45.0°. The angle isalways with respect to the previous polarizer's transmission axis because the polarizing material physicallydetermines what direction the transmitted electric fields can have.QUESTION At what angle relative to the previous polarizer must an additional polarizer be placed so asto completely block the light?EXERCISEHINTS: GETTING STARTED | I'M STUCK!The polarizers are rotated so that the second polarizer has a transmission of 36.2° with respect to the firstpolarizer and the third polarizer has an angle of 90.0° with respect to the first. If I, is the intensity of theoriginal unpolarized light, what is the intensity of the beam at the following times.(a) after it passing through the second polarizer1₂/16 -|(b) after it passing through the third polarizer13/1²What is the final transmitted intensity if the second polarizer is removed?1/1₂ =

Answered: Image /qna-images/answer/eeba7e6c-1ad4-47f7-ae73-d1f95a9ee867.jpg

The polarizers are rotated so that the second polarizer has a transmission of 36.2° with respect to the first polarizer and the third polarizer has an angle of 90.0° with respect to the first. If I, is the intensity of the original unpolarized light, what is the intensity of the beam at the following times. (a) after it passing through the second polarizer 12/1=[ (b) after it passing through the third polarizer 13/16- =

The polarizers are rotated so that the second polarizer has a transmission of 36.2° with respect to the first polarizer and the third polarizer has an angle of 90.0° with respect to the first. If I, is the intensity of the original unpolarized light, what is the intensity of the beam at the following times. (a) after it passing through the second polarizer 12/1=[ (b) after it passing through the third polarizer 13/16- =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 63PQ

See similar textbooks

Similar questions

Unpolarized light passes through three polarizing filters. The first filter has its transmission axis parallel to the z direction, the second has its transmission axis at an angle of 30.0 from the z direction, and the third has its transmission axis at an angle of 60.0 from the z direction. If the light that emerges from the third filter has an intensity of 250.0 W/m2, what is the original intensity of the light?
If plane polarized light is sent through two polarizers, the first at 45 to the original plane of polarization and the second at 90 to the original plane of polarization, what fraction of the original polarized intensity passes through the last polarizer? (a) 0 (b) 14 (c) 12 (d) 18 (e) 110
Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.
Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 25.0° to the axis of the first, whereas the transmission axis of the third sheet is oriented at 40.0° (in the same sense) to the axis of the first. What fraction of an intensity of an incident unpolarized beam is transmitted by the combination?
An unpolarized beam of light is incident on a stack of ideal polarizing filters. The axis of the first filter is perpendicular to the axis of the last filter in the stack. Find the fraction by which the transmitted beams intensity is reduced in the three following cases. (a) Three filters are in the stack, each with its transmission axis at 45.0 relative to the preceding filter. (b) Four filters are in the stack, each with its transmission axis at 30.0 relative to the preceding filter. (c) Seven filters are in the stack, each with its transmission axis at 15.0 relative to the preceding filter. (d) Comment on comparing the answers to parts (a), (b), and (c).
(a) Light reflected at 62.5° from a gemstone in a ring is completely polarized. Can the gem be a diamond? (b) At what angle would the light be completely polarized if the gem was in water?
In Figure P37.52, suppose the transmission axes of the left and right polarizing disks are perpendicular to each other. Also, let the center disk be rotated on the common axis with an angular speed . Show that if unpolarized light is incident on the left disk with an intensity Imax, the intensity of the beam emerging from the right disk is I=116Imax(1cos4t) This result means that the intensity of the emerging beam is modulated at a rate four times the rate of rotation of the center disk. Suggestion: Use the trigonometric identities cos2=12(1+cos2) and sin2=12(1cos2). Figure P37.52
If a polarizing filter reduces the intensity of polarized light to 50.0% of its original value, by how much are the electric and magnetic fields reduced?
Suppose a source of electromagnetic waves radiates uniformly in all directions in empty space where there are no absorption or interference effects. (a) Show that the intensity is inversely proportional to r2, distance from the source squared. (b) Show that the magnitudes of the electric and magnetic fields are inversely proportional to r.
The Poynting vector describes a flow of energy whenever electric and magnetic fields are present. Consider a long cylindrical wire of radius r with a current I in the wire, with resistance R and voltage V. From the expressions for the electric field along the wire and the magnetic field around the wire, obtain the magnitude and direction of the Poynting vector at the surface. Show that it accounts for an energy flow into the wire from the fields around it that accounts for the Ohmic heating of the wire.
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 following represents an electromagnetic wave traveling in the direction of the positive y-axis: Ex=0;E0cos(kxt);Ez=0Bx=0;By=0;Bz=B0cos(kxt) The wave is passing through a wide tube of circular cross- section of radius R whose axis is along they-axis. Find the expression for the displacement current through the tube.