Part A = 24.09°

Part B = 60.97°

A beam of white light is incident on the surface of a diamond at an angle θ_{a}.

Find θ_{crit}.

For α = 45°, find the incident angle θ_{a} such that the blue light is totally internally reflected off the bottom surface.

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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Part A = θ = cos^-1(c/(nv))

Part B = aerogel

Part C = v = 0.995 c

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 v_{min} that a charged particle can have and still emit Cerenkov radiation in the aerogel?

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?

Part A = 26 degrees

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?

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?