Mastering Physics Solutions: A Sparkling Diamond II

Mastering Physics Solutions: A Sparkling Diamond II

On May 11, 2013, in Chapter 22: Reflection and Refraction of Light, by Mastering Physics Solutions

Part A = 24.09°
Part B = 60.97°

A beam of white light is incident on the surface of a diamond at an angle θa.
Find θcrit.
For α = 45°, find the incident angle θa such that the blue light is totally internally reflected off the bottom surface.

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Mastering Physics Solutions: Refraction through Glass and Water

Mastering Physics Solutions: Refraction through Glass and Water

On April 12, 2013, in Chapter 22: Reflection and Refraction of Light, by Mastering Physics Solutions

Refraction through Glass and Water Part A = 26.6 degrees Solution Below: A plate of glass with parallel faces having a refractive index of 1.58 is resting on the surface of water in a tank. A ray of light coming from above in air makes an angle of incidence 36.5° with the normal to the [...]

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Mastering Physics Solutions: Cerenkov Radiation II

Mastering Physics Solutions: Cerenkov Radiation II

On March 2, 2013, in Chapter 22: Reflection and Refraction of Light, by Mastering Physics Solutions

Part A = θ = cos^-1(c/(nv))
Part B = aerogel
Part C = v = 0.995 c Click to use the calculator/solver for this part of the problem
Part D = 0.97 c

If a particle is traveling straight through a material with index of refraction n at a speed v, what is the angle θ between the vector of the propagating Cerenkov radiation and the vector in the direction of the propagating particle?
Use these constraints and the equation for θ from Part A to determine which of the following substrate materials is best suited to giving you the greatest precision in determining particle velocity
What is the highest velocity at which a charged particle can be accurately measured to be below the speed of light in vacuum (c)
What is the lowest velocity vmin that a charged particle can have and still emit Cerenkov radiation in the aerogel?

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Mastering Physics Solutions: Exercise 22.46

Mastering Physics Solutions: Exercise 22.46

On August 8, 2012, in Chapter 22: Reflection and Refraction of Light, by Mastering Physics Solutions

Part A = red

White light passes through a piece of crown glass and strikes an interface with air at an angle of 41.15°. The index of refraction of crown glass is 1.515 for red light and 1.523 for blue light.
Which color(s) of light will be refracted out into the air?

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Mastering Physics Solutions: Exercise 22.37

Mastering Physics Solutions: Exercise 22.37

On August 8, 2012, in Chapter 22: Reflection and Refraction of Light, by Mastering Physics Solutions

Part A = 26 degrees Click to use the calculator/solver for this part of the problem
Part B = 1.81 * 10^8 m/s
Part C = 331 nm

Yellow-green light of wavelength 550 nm in air is incident on the surface of a flat piece of flint glass at an angle of 46°.
What is the angle of refraction of the light?
What is the speed of the light in the glass?
What is the wavelength of the light in the glass?

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Mastering Physics Solutions: Exercise 22.34

Mastering Physics Solutions: Exercise 22.34

On August 8, 2012, in Chapter 22: Reflection and Refraction of Light, by Mastering Physics Solutions

Part A = Yes
Part B = No

A 45° – 90° – 45° prism (see the figure) is made of a material with an index of refraction of 1.85.
Can the prism be used to deflect a beam of light by 90° in air?
What about in water?

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