Homework Help is Here – Start Your Trial Now!
Science
Physics
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- =

College Physics
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
icon
Related questions
Question

please solve this problem

PROBLEM Unpolarized light is incident upon three polarizers. The first polarizer has a vertical transmission axis, the second has a transmission axis rotated 30.0° with respect to the first, and the third has a transmission axis rotated 75.0° relative to the first. If the initial light intensity of the beam is I calculate the light intensity after the beam passes through (a) the second polarizer and (b) the third polarizer. STRATEGY After the beam passes through the first polarizer, it is polarized and its intensity is cut in half. Malus's law can then be applied to the second and third polarizers. The angle used in Malus's law must 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. Apply Malus's law to the second polarizer. 2 12 = 10 cos²0=cos² 30º =((32") ² = 3/8 1 2 (B) Calculate the intensity of the beam after it passes through the third polarizer. The incident intensity is now 31,/8. 31, 2 13=12 cos²0=31cos² 45⁰ m² 3/4 ((2) ²)² = 3/16 1 Apply Malus's law to the third polarizer. 8 LEARN MORE REMARKS Notice that the angle used in part (b) was not 75.0°, but 75.0° -30.0° = 45.0°. The angle is always with respect to the previous polarizer's transmission axis because the polarizing material physically determines what direction the transmitted electric fields can have. QUESTION At what angle relative to the previous polarizer must an additional polarizer be placed so as to completely block the light? EXERCISE HINTS: GETTING STARTED | I'M STUCK! 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 1₂/16 -| (b) after it passing through the third polarizer 13/1² What is the final transmitted intensity if the second polarizer is removed? 1/1₂ =
Transcribed Image Text:PROBLEM Unpolarized light is incident upon three polarizers. The first polarizer has a vertical transmission axis, the second has a transmission axis rotated 30.0° with respect to the first, and the third has a transmission axis rotated 75.0° relative to the first. If the initial light intensity of the beam is I calculate the light intensity after the beam passes through (a) the second polarizer and (b) the third polarizer. STRATEGY After the beam passes through the first polarizer, it is polarized and its intensity is cut in half. Malus's law can then be applied to the second and third polarizers. The angle used in Malus's law must 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. Apply Malus's law to the second polarizer. 2 12 = 10 cos²0=cos² 30º =((32") ² = 3/8 1 2 (B) Calculate the intensity of the beam after it passes through the third polarizer. The incident intensity is now 31,/8. 31, 2 13=12 cos²0=31cos² 45⁰ m² 3/4 ((2) ²)² = 3/16 1 Apply Malus's law to the third polarizer. 8 LEARN MORE REMARKS Notice that the angle used in part (b) was not 75.0°, but 75.0° -30.0° = 45.0°. The angle is always with respect to the previous polarizer's transmission axis because the polarizing material physically determines what direction the transmitted electric fields can have. QUESTION At what angle relative to the previous polarizer must an additional polarizer be placed so as to completely block the light? EXERCISE HINTS: GETTING STARTED | I'M STUCK! 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 1₂/16 -| (b) after it passing through the third polarizer 13/1² What is the final transmitted intensity if the second polarizer is removed? 1/1₂ =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Polarisation of light
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS