Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 79P
(a)
To determine
The proof that
(b)
To determine
The larger between polarizing angle and critical angle of total internal reflection.
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The angle of incidence of a light beam in air onto a reflecting surface is continuously variable. The reflected ray is found to be completely polarized when the angle of incidence is 63.0°.
(a) What is the index of refraction of the reflecting material? (b) If some of the incident light (at an angle of 63.0°) passes into the material below the surface, what is the angle of refraction? answer in degrees °
A ray of light is perpendicular to the face ab of a glass prism (n = 1.52). Find the largest value for the angle
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Chapter 31 Solutions
Physics for Scientists and Engineers
Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10P
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- If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?arrow_forwardTwo polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?arrow_forwardAt what angle is light inside crown glass completely polarized when reflected from water, as in a fish tank?arrow_forward
- If bis Brewster’s angle for light reflected from the top of an interface between two substances, and bis Brewster’s angle for light reflected from below, prove that b+b=90.0arrow_forwardLight traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.arrow_forwardLight is incident along the normal on face AB of a glass prism of refractive index 1.52, as shown in Fig. Find the largest value the angle a can have without any light refracted out of the prism at face AC if (a) the prism is immersed in air and (b) the prism is immersed in waterarrow_forward
- A parallel beam of unpolarized light in air is incident at an angle of 54.5° (with respect to the normal) on a plane glass sur- face. The reflected beam is completely linearly polarized. (a) What is the refractive index of the glass? (b) What is the angle of refraction of the transmitted beam?arrow_forward(a) The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 54.0°? (b) What If? What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?arrow_forwardIf light makes an angle 28 degree with the surface of salty water having a refractive index of 1.33. (a) What is the angle between the refracted beam and the surface of the glass?(b) What should be the angle of incidence p with this plate for the angle of refraction p/2?arrow_forward
- The refractive index of an ice is 1.31. At what incident angle is light reflected from the surface of an ice slab completely polarized ifthe slab is immersed in (a) air and (b) benzene?arrow_forwardYou shine a beam of polarized light in air on a piece of dense flint glass 1n = 1.662. (a) If the polarization direction is perpendicular to the plane of incidence, is there an angle of incidence for which no light is reflected from the glass? If so, what is this angle? (b) Repeat part (a) if the polarization direction is in the plane of incidence.arrow_forwardFor an air (n=1) and glass (n=1.45) interface, determine the % of the light reflected (reflectance) and transmitted (transmittance) for a light beam incident from air to glass with (a) incident angle = 25o and the electric field (polarization) direction is in the incident plane, (b) incident angle=25o and electric field (polarization) direction is 45o with respect to the incident plane.arrow_forward
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