ACP COLLEGE PHYS 1101/1102 BUNDLE
ACP COLLEGE PHYS 1101/1102 BUNDLE
11th Edition
ISBN: 9781337685467
Author: SERWAY
Publisher: CENGAGE L
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Chapter 22, Problem 48AP

(a)

To determine

The maximum value of angle for which the refracted ray will undergo total internal reflection at the left vertical face of the block.

(a)

Expert Solution
Check Mark

Answer to Problem 48AP

For any angle less than equal to 90° will occur the total internal reflection.

Explanation of Solution

The following ray diagram show path of the light.

ACP COLLEGE PHYS 1101/1102 BUNDLE, Chapter 22, Problem 48AP , additional homework tip  1

Formula to calculate the angle θ3 is,

θ3=sin1(nanp)

  • θ3 is the angle
  • naandnp are the refractive index of air and polystyrene

Substitute 1 for na . 1.49 for np to find θ3 .

θ3=sin1(11.49)=42.2°

Formula to calculate the angle θ2 is,

θ2=(90°θ3)

  • θ2 is the angle

Substitute 42.2° for θ3 to find θ2 .

θ2=(90°42.2°)=47.8°

Formula to calculate the angle θ1 is,

sinθ1=(npsinθ2na)

  • θ1andθ2 are the angle
  • naandnp are the refractive index of air and polystyrene

Substitute 1 for na . 1.49 for np , 47.8° for θ2 to find θ1 .

sinθ1=((1.49)sin(47.8)(1))=1.1

Thus, for any angle less than equal to 90° will occur the total internal reflection.

Conclusion:

Therefore, for any angle less than equal to 90° will occur the total internal reflection.

(b)

To determine

The maximum value of angle for which the refracted ray will undergo total internal reflection at the left vertical face of the block when surrounding is water.

(b)

Expert Solution
Check Mark

Answer to Problem 48AP

For any angle less than equal to 90° will occur the total internal reflection.

Explanation of Solution

The ray diagram is given below:

ACP COLLEGE PHYS 1101/1102 BUNDLE, Chapter 22, Problem 48AP , additional homework tip  2

Formula to calculate the angle θ3 is,

θ3=sin1(nwnp)

  • θ3 is the angle
  • nwandnp are the refractive index of water and polystyrene

Substitute 1.33 for na . 1.49 for np to find θ3 .

θ3=sin1(1.331.49)=63.5°

Formula to calculate the angle θ2 is,

θ2=(90°θ3)

  • θ2 is the angle

Substitute 63.5° for θ3 to find θ2 .

θ2=(90°63.5°)=26.5°

Formula to calculate the angle θ1 is,

θ1=sin1(npsinθ2nw)

  • θ1andθ2 are the angle
  • nwandnp are the refractive index of water and polystyrene

Substitute 1.33 for nw . 1.49 for np , 26.5° for θ2 to find θ1 .

θ1=sin1((1.49)sin(26.5)(1.33))=29.9°

Thus, for any angle less than equal to 90° will occur the total internal reflection.

Conclusion:

Therefore, for any angle less than equal to 90° will occur the total internal reflection.

(c)

To determine

what will happen when the polystyrene block will immerse in carbon disulfide.

(c)

Expert Solution
Check Mark

Answer to Problem 48AP

When the polystyrene block will immerse in carbon disulfide the total internal reflection will not occur.

Explanation of Solution

The total internal reflection will not occur when the polystyrene block will immerse in carbon disulfide as the refractive index of the polystyrene is less than that of the carbon disulfide.

Conclusion:

Therefore, when the polystyrene block will immerse in carbon disulfide the total internal reflection will not occur.

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Chapter 22 Solutions

ACP COLLEGE PHYS 1101/1102 BUNDLE

Ch. 22 - In dispersive materials, the angle of refraction...Ch. 22 - The level of water in a clear, colorless glass can...Ch. 22 - Prob. 9CQCh. 22 - Light in medium A undergoes a total internal...Ch. 22 - Prob. 11CQCh. 22 - Try this simple experiment on your own. Take two...Ch. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A light ray containing both blue and red...Ch. 22 - During the Apollo XI Moon landing, a...Ch. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Find the speed of light in (a) water, (b) crown...Ch. 22 - A ray of light travels from air into another...Ch. 22 - Prob. 8PCh. 22 - An underwater scuba diver sees the Sun at an...Ch. 22 - Prob. 10PCh. 22 - A laser beam is incident at an angle of 30.0 to...Ch. 22 - Light containing wavelengths of 400. nm, 500. nm,...Ch. 22 - A ray of light is incident on the surface of a...Ch. 22 - Prob. 14PCh. 22 - The light emitted by a helium-neon laser has a...Ch. 22 - Figure P22.16 shows a light ray traveling in a...Ch. 22 - Prob. 17PCh. 22 - A ray of light strikes a flat, 2.00-cm-thick block...Ch. 22 - Prob. 19PCh. 22 - Prob. 20PCh. 22 - A man shines a flashlight from a boat into the...Ch. 22 - A narrow beam of ultra-sonic waves reflects off...Ch. 22 - A person looking into an empty container is able...Ch. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - An opaque cylindrical tank with an open top has a...Ch. 22 - A certain kind of glass has an index of refraction...Ch. 22 - The index of refraction for red light in water is...Ch. 22 - The index of refraction for crown glass is 1.512...Ch. 22 - A light beam containing red and violet wavelengths...Ch. 22 - Prob. 32PCh. 22 - A ray of light strikes the midpoint of one face of...Ch. 22 - For light of wavelength 589 nm. calculate the...Ch. 22 - Repeat Problem 34, but this time assume the...Ch. 22 - A beam of light is incident from air on the...Ch. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - A light ray is incident normally to the long face...Ch. 22 - Prob. 40PCh. 22 - A room contains air in which the speed of sound is...Ch. 22 - Prob. 42PCh. 22 - The light beam in Figure P22.43 strikes surface 2...Ch. 22 - Prob. 44PCh. 22 - A layer of ice having parallel sides floats on...Ch. 22 - A ray of light is incident at an angle 30.0 on a...Ch. 22 - When a man stands near the edge of an empty...Ch. 22 - Prob. 48APCh. 22 - Refraction causes objects submerged in water to...Ch. 22 - A narrow beam of light is incident from air onto a...Ch. 22 - Prob. 51APCh. 22 - Endoscopes are medical instruments used to examine...Ch. 22 - A piece of wire is bent through an angle . The...Ch. 22 - Prob. 54APCh. 22 - Prob. 55APCh. 22 - Prob. 56APCh. 22 - Prob. 57APCh. 22 - Students allow a narrow beam of laser light to...Ch. 22 - Prob. 59APCh. 22 - Three sheets of plastic have unknown indices of...Ch. 22 - A person swimming underwater on a bright day and...Ch. 22 - Prob. 62AP
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