**Polarization and Intensity of Light****Question:**An ideal polarizer with its transmission axis rotated 30° to the vertical is placed in a beam of unpolarized light of intensity 10 W/m². After passing through the polarizer, what is the intensity of the beam?a) 10 W/m² b) 5.0 W/m² c) 8.7 W/m² d) 7.5 W/m² **Explanation:**When unpolarized light passes through a polarizer, the intensity of the light is reduced. The intensity \(I\) of the polarized light after passing through an ideal polarizer can be calculated using Malus's Law, which is given by:\[ I = I_0 \cdot \cos^2(\theta) \]where:- \(I_0\) is the initial intensity of the unpolarized light,- \(\theta\) is the angle between the light's initial polarization direction and the axis of the polarizer.For unpolarized light, the initial intensity is reduced by half after passing through the first polarizer:\[ I' = \frac{I_0}{2} \]Here, \(I_0 = 10 \, \text{W/m}^2\) and \(\theta = 30^\circ\):\[ I' = \frac{10 \, \text{W/m}^2}{2} = 5 \, \text{W/m}^2 \]After the polarizer at 30°, the intensity is:\[ I = 5 \, \text{W/m}^2 \cdot \cos^2(30^\circ) \]\[ \cos(30^\circ) = \sqrt{3}/2 \]\[ I = 5 \, \text{W/m}^2 \cdot \left(\frac{\sqrt{3}}{2}\right)^2 \]\[ I = 5 \, \text{W/m}^2 \cdot \frac{3}{4} \]\[ I = \frac{15}{4} \, \text{W/m}^2 \]\[ I = 3.75 \, \text{W/m}^2 \]Since none of the options directly match this result, further calculations should be double-checked,

Given data: Intensity of unpolarized light (I0) = 10 W/m2 Angle (θ) = 30°,to the vertical Required:…

An ideal polarizer with its transmission axis rotated 30° to the vertical is placed in a beam of unpolarized light of intensity 10 W/m². After passing through the polarizer, what is intensity of the beam? a) 10 W/m² b) 5.0 W/m² c) 8.7 W/m² d) 7.5 W/m²

An ideal polarizer with its transmission axis rotated 30° to the vertical is placed in a beam of unpolarized light of intensity 10 W/m². After passing through the polarizer, what is intensity of the beam? a) 10 W/m² b) 5.0 W/m² c) 8.7 W/m² d) 7.5 W/m²

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

Vertically polarized light with an intensity of 60 W/m2 passes through a polarizer whose transmission axis is at an angle of 10 degrees with the vertical. What is the intensity of the transmitted light? (in units of W/m²) Trie
A luge and its rider, with a total mass of 82.0 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 37.0 m/s. If a force slows them to a stop at a constant rate of 1.30 m/s², (a) what magnitude F is required for the force, (b) what distance d do they travel while slowing, and (c) what work W is done on them by the force? What are (d) F, (e) d, and (f) W if they, instead, slow at 2.60 m/s²? (a) Number (b) Number (c) Number (d) Number jak w (e) Number i (f) Number i Units Units Units Units Units Units
An electromagnetic wave propagates according to the equation (in picture) in a polarized state. Determine the area of the wave spectrum (IR, UV, VL)
Unpolarized light with an initial intensity of 32 W/m2 is incident on a perfect polarizing material that allows light through with a vertical orientation. The light then passes through a second polarizer that is rotated 450 with respect to the first. Finally, the light passes through a third polarizer that is oriented at 900 with respect to the first. What is the intensity of light that makes it through the first polarizer? A. 0 What is the intensity of light that makes it through the second polarizer? B. 2 W/m2 |What is the intensity of light that makes it through all three polarizers? C. 4 W/m2 D. 8 W/m2 E. 16 W/m2 F. 32 W/m2
(11%) Problem 1: Consider an electromagnetic wave where the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis. 8 In what directions is it possible that the wave is traveling? (Select all that apply) OThe -z dırection. Grade Su OThe -y direction. OThe -x direction. OThe +z direction. V The +y direction. Deduction OThe +x direction. Potential Submissic Attempts
4. An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is 1.20 x 10° W/m2. What is the rms value of the electric field in the electromagnetic wave emitted by the laser? N/C
An instructor's laser pointer produces a beam of light with a circular cross section of diameter 1.30 mm and an average power output of 8.00 mW. The beam size stays nearly constant when the instructor uses the laser pointer in the classroom. What is the amplitude Eo of the electric field of the laser's light? Eo= What is the amplitude Bo of the magnetic field of the laser's light? What is the average energy density wave of the laser's light? N/C Bo= T J/m³ Wave
The intensity of a particular TV station’s signal is I =1.01 x 10^(-13) W/m^2 when it arrives at a 28-cm diameter satellite TV antenna. A) Calculate the total energy received by the antenna during 5.0 hours and 40 minutes of viewing this station’s programs. B)What is the amplitude of the field of the EM waves? (E field)
An EM wave has a magnetic field strength of 5.00×10^−4 [T]. What is its electric field strength when travelling in a medium with n=1.50? A. 1.00×10^5[V/m] B. 1.50×10^5[V/m] C. 3.00×10^11[V/m] D. 6.00×10^11[V/m]
The average intensity of an EM wave is 4.50×10^7 W/m^2. What is the peak amplitude of the electric field of this wave? What is the peak amplitude of the magnetic field of this wave?
A plane electromagnetic wave has a maximum electric field of magnitude 2.99 x 10-3 V/m. Find the maximum magnetic field amplitude. Number i Units
11:33 A moodle.nct.edu.om Question 9 Not yet answered Marked out of 1.00 Flag question Which of these EM waves has the lowest frequency? O a. X-rays O b. Ultraviolet O c. Gamma Rays O d. Microwaves Question 10 Not yet answered Marked out of 1.00 Flag question For the given ray diagram, 03 is called angle of reflection. ray A normal ray B 个 II