A horizontal 5.0 mW laser beam that is vertically polar- 54 ized is incident on a polarizing sheet that is oriented with its trans- mission axis vertical. Behind the first sheet is a second sheet that is oriented so that its transmission axis makes an angle of 27° with re- spect to vertical. What is the power of the beam transmitted through the second sheet?

A horizontal 5.0 mW laser beam that is vertically polar- 54 ized is incident on a polarizing sheet that is oriented with its trans- mission axis vertical. Behind the first sheet is a second sheet that is oriented so that its transmission axis makes an angle of 27° with re- spect to vertical. What is the power of the beam transmitted through the second sheet?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 70P: Three polarizing sheets are placed together such that the transmission axis of the second sheet is...

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Check Your Understanding Although we did no specify the direction in Example 1.7, let’s say the polarizing filter was rotated clockwise by 71.6° to reduce the light intensity by 90.0%. What would be the intensity reduction if the polarizing filter were rotated counterclockwise by 71.6°’
While you are looking through two polarizing sheets, one of the sheets is rotated 180. Will there be any change in what you observe? Explain.
The Apollo 11 astronauts set up a panel of efficient corner- cube retroreflectors on the Moon’s surface (as shown). The speed of light can be found by measuring the time interval required for a laser beam to travel from the Earth, reflect from the panel, and return to the Earth. Assume this interval is measured to be 2.51 s at a station where the Moon is at the zenith and take the center-to-center distance from the Earth to the Moon to be equal to 3.84 × 108 m. (a) What is the measured speed of light? (b) Explain whether it is necessary to consider the sizes of the Earth and the Moon in your calculation.
When unpolarised light is passed through a polariser, and then through an analyser with its polarising axis at a right angle to the axis of the polariser, the intensity of the remaining light is approximately zero. When a second polarising sheet is placed between the polariser and the analyser, the final intensity is much brighter and clearly non-zero. Explain how this can happen.
Two polarizers are oriented at 65º to one another. As a result, unpolarized light falls on them. What fraction of the light intensity is transmitted?
Two polaroid A and B are kept with their transmission axes at an angle Ѳ with respect to one another. If the transmitted intensity of light It = 0.80I0 where I0 is the intensity of light on the system. Then Ѳ is:
Four polarizers are placed in succession with their axesvertical, at 30.0° to the vertical, at 60.0° to the vertical, andat 90.0° to the vertical. (a) Calculate what fraction of theincident unpolarized light is transmitted by the fourpolarizers. (b) Can the transmitted light be decreased byremoving one of the polarizers? If so, which one? (c) Canthe transmitted light intensity be extinguished by removingpolarizers? If so, which one(s)?
In the H. G. Wellsnovel The Invisible Man, a personbecomes invisible by altering hisindex of refraction to match thatof air. This is the idea behind thedisappearing eyedropper in Conceptual Question 10. If the invisibleman could actually do this, wouldhe be able to see? Explain
Unpolarized light passes through two ideal Polaroid .sheets. The axis of the first is vertical, and the axis of the second is at 30.0° lo the vertical. What traction of the incident light is transmitted?
Prove that, if I is the intensity of light transmitted by two polarizing filters with axes at an angle and I is the intensity when the axes are at an angle 90.0, then I+I=I0, the original intensity. (Hint: Use the trigonometric identities cos(90.0)=sin and cos2+sin2=1 .)
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?
Certain sunglasses use a polarizing material to reduce the intensity of light reflected from shiny surfaces, such as water or the hood of a car. What orientation of the transmission axis should the material have to be most effective?