(a) Explanation Given Info: The radius of Earth is 6378 km and the atmosphere has uniform density and its uniform index of refraction is n and the height is h above the Earth’s surface. Explanation: The below figure shows the position of Sun at sunrise or sunset Figure (I) The apparent position of Sun is S’ which is formed due to the atmospheric refraction. Rays that comes from the Sun strikes at the point B and bends towards the normal and finally reaches the observer which is at point A. Thus the light seems to be come from S’. From Snell’s law, sin θ a sin θ b = n θ a is angle of incidence. θ b angle of refraction. n is refractive index. Rearrange for sin θ a . sin θ a = n ( sin θ b ) (I) From Figure (I), δ = θ a − θ b (II) δ is angle of deviation. From triangle OAB in Figure (I), sin θ b = R R + n R is radius of Earth (b) To determine Angle of deviation with n = 1.0003 and h = 20 km and compare this to the angular radius of Sun.

University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e

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ISBN: 9781323390382

Author: YOUNG

Publisher: Pearson Education

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Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

Question

Chapter 33, Problem 33.51P

(a)

To determine

The validation of the relation for angle of deviation is δ=arcsin(nRR+h)−arcsin(RR+h)

(b)

To determine

Angle of deviation with n=1.0003 and h=20 km and compare this to the angular radius of Sun.

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Chapter 33, Problem 33.50P

Chapter 33, Problem 33.52P

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Chapter 33 Solutions

University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e

Ch. 33 - Light requires about 8 minutes to travel from the...Ch. 33 - Sunlight or starlight passing through the earths...Ch. 33 - A beam of light goes from one material into...Ch. 33 - Prob. Q33.4DQ Ch. 33 - Prob. Q33.5DQ Ch. 33 - Prob. Q33.7DQ Ch. 33 - Prob. Q33.8DQ Ch. 33 - A ray of light in air strikes a glass surface. Is...Ch. 33 - When light is incident on an interface between two...Ch. 33 - A salesperson at a bargain counter claims that a...

Ch. 33 - Does it make sense to talk about the polarization...Ch. 33 - How can you determine the direction of the...Ch. 33 - It has been proposed that automobile windshields...Ch. 33 - When a sheet of plastic food wrap is placed...Ch. 33 - If you sit on the beach and look at the ocean...Ch. 33 - When unpolarized light is incident on two crossed...Ch. 33 - For the old rabbit-ear style TV antennas, its...Ch. 33 - In Fig. 33.31, since the light that is scattered...Ch. 33 - You are sunbathing in the late afternoon when the...Ch. 33 - Light scattered from blue sky is strongly...Ch. 33 - Atmospheric haze is due to water droplets or smoke...Ch. 33 - Prob. Q33.23DQ Ch. 33 - Prob. Q33.24DQ Ch. 33 - Prob. Q33.25DQ Ch. 33 - Prob. 33.1E Ch. 33 - BIO Light Inside the Eye. The vitreous humor, a...Ch. 33 - A beam of light has a wavelength of 650 nm in...Ch. 33 - Light with a frequency of 5.80 1014 Hz travels in...Ch. 33 - A light beam travels at 1.94 108 m/s in quartz....Ch. 33 - Prob. 33.6E Ch. 33 - A parallel beam of light in air makes an angle of...Ch. 33 - Prob. 33.8E Ch. 33 - Light traveling in air is incident on the surface...Ch. 33 - (a) A tank containing methanol has walls 2.50 cm...Ch. 33 - Prob. 33.11E Ch. 33 - A horizontal, parallel-sided plate of glass having...Ch. 33 - A ray of light is incident on a plane surface...Ch. 33 - Prob. 33.14E Ch. 33 - Section 33.3 Total Internal Reflection 33.15Light...Ch. 33 - A flat piece of glass covers the top of a vertical...Ch. 33 - The critical angle for total internal reflection...Ch. 33 - A beam of light is traveling inside a solid glass...Ch. 33 - A ray of light is traveling in a glass cube that...Ch. 33 - Prob. 33.20E Ch. 33 - Prob. 33.21E Ch. 33 - The indexes of refraction for violet light ( = 400...Ch. 33 - A narrow beam of white light strikes one face of a...Ch. 33 - A beam of light strikes a sheet of glass at an...Ch. 33 - Unpolarized light with intensity I0 is incident on...Ch. 33 - (a) At what angle above the horizontal is the sun...Ch. 33 - A beam of unpolarized light of intensity I0 passes...Ch. 33 - Light of original intensity I0 passes through two...Ch. 33 - A parallel beam of unpolarized light in air is...Ch. 33 - The refractive index of a certain glass is 1.66....Ch. 33 - A beam of polarized light passes through a...Ch. 33 - Three polarizing filters are stacked, with the...Ch. 33 - Unpolarized light of intensity 20.0 W/cm2 is...Ch. 33 - Three Polarizing Filters. Three polarizing filters...Ch. 33 - A beam of white light passes through a uniform...Ch. 33 - A light beam is directed parallel to the axis of a...Ch. 33 - BIO Heart Sonogram. Physicians use high-frequency...Ch. 33 - In a physics lab, light with wavelength 490 nm...Ch. 33 - Prob. 33.39P Ch. 33 - Prob. 33.40P Ch. 33 - A ray of light traveling in a block of glass (n =...Ch. 33 - A ray of light traveling in air is incident at...Ch. 33 - A glass plate 2.50 mm thick, with an index of...Ch. 33 - After a long day of driving you take a late-night...Ch. 33 - You sight along the rim of a glass with vertical...Ch. 33 - Prob. 33.46P Ch. 33 - A thin layer of ice (n = 1.309) floats on the...Ch. 33 - A 454590 prism is immersed in water. A ray of...Ch. 33 - Prob. 33.49P Ch. 33 - Light is incident normally on the short face of a...Ch. 33 - Prob. 33.51P Ch. 33 - Prob. 33.52P Ch. 33 - Prob. 33.53P Ch. 33 - Prob. 33.54P Ch. 33 - Prob. 33.55P Ch. 33 - A thin beam of white light is directed at a flat...Ch. 33 - DATA In physics lab, you are studying the...Ch. 33 - Prob. 33.58P Ch. 33 - DATA A beam of light traveling horizontally is...Ch. 33 - Prob. 33.60CP Ch. 33 - Prob. 33.61CP Ch. 33 - First, light with a plane of polarization at 45 to...Ch. 33 - Next unpolarized light is reflected off a smooth...Ch. 33 - To vary the angle as well as the intensity of...

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The validation of the relation for angle of deviation is δ = arcsin ( n R R + h ) − arcsin ( R R + h )

Solution Summary: The author explains that the relation for angle of deviation is delta =arcsin(

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The validation of the relation for angle of deviation is δ=arcsin(nRR+h)−arcsin(RR+h)

Angle of deviation with n=1.0003 and h=20 km and compare this to the angular radius of Sun.

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Chapter 33 Solutions