Angle of Refraction for Glass A light ray of wavelength 675 nm traveling through air is incident on a smooth, flat slab of crown glass at an angle of 31.0° to the normal. The refraction of light as it moves from air into glass. Normal When the light beam moves from air into glass, the light slows down upon entering the glass and its path is bent toward the normal. Air Glass :イ (a) Find the angle of refraction. SOLUTION Conceptualize Study the figure, which illustrates the refraction process occurring in this problem. We expect that 0, < 0, in the glass. because the speed of light is lower Categorize This is a typical problem in which we apply the wav under refraction model. Analyze (For the next two answers, use the following as necessary: n,, n, and 0,.) Rearrange Snell's law of refraction to find sin(0),: sin(82) = Solve for 02: 8, = sin Substitute the incident angle and values from Indices of Refraction table (Give your answer in degrees.): (b) Find the speed of this light once it enters the glass. SOLUTION Solve n = for the speed of light in the glass (Use the following as necessary: c and n.): V = Substitute numerical values (Give your answer in m/s.): V = m/s (c) What is the wavelength of this light in the glass? SOLUTION Use n = to find the wavelength in the glass (Give your answer in nm.): nm
Angle of Refraction for Glass A light ray of wavelength 675 nm traveling through air is incident on a smooth, flat slab of crown glass at an angle of 31.0° to the normal. The refraction of light as it moves from air into glass. Normal When the light beam moves from air into glass, the light slows down upon entering the glass and its path is bent toward the normal. Air Glass :イ (a) Find the angle of refraction. SOLUTION Conceptualize Study the figure, which illustrates the refraction process occurring in this problem. We expect that 0, < 0, in the glass. because the speed of light is lower Categorize This is a typical problem in which we apply the wav under refraction model. Analyze (For the next two answers, use the following as necessary: n,, n, and 0,.) Rearrange Snell's law of refraction to find sin(0),: sin(82) = Solve for 02: 8, = sin Substitute the incident angle and values from Indices of Refraction table (Give your answer in degrees.): (b) Find the speed of this light once it enters the glass. SOLUTION Solve n = for the speed of light in the glass (Use the following as necessary: c and n.): V = Substitute numerical values (Give your answer in m/s.): V = m/s (c) What is the wavelength of this light in the glass? SOLUTION Use n = to find the wavelength in the glass (Give your answer in nm.): nm
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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Angle of Refraction for Glass
A light ray of wavelength 675 nm traveling through air is incident on a smooth, flat slab of crown glass at an angle of 31.0° to the
normal.
The refraction of light as it moves from air into glass.
Normal
When the light beam
moves from air into
glass, the light slows
down upon entering the
glass and its path is bent
toward the normal.
Air
Glass
くり
(a) Find the angle of refraction.
SOLUTION
Conceptualize Study the figure, which illustrates the refraction process occurring in this problem. We expect that 0, < 0,
because the speed of light is lower
y in the glass.
Categorize This is a typical problem in which we apply the wave under refraction
model.
Analyze
(For the next two answers, use the following as necessary: n,, n,, and 0,.)
Rearrange Snell's law of refraction to find sin(0),:
sin(82) =
Solve for 02:
0, = sin
Substitute the incident angle and values from Indices of Refraction table (Give your answer in degrees.):
02 =
(b) Find the speed of this light once it enters the glass.
SOLUTION
Solve n = for the speed of light in the glass (Use the following as necessary: c and n.):
V =
Substitute numerical values (Give your answer in m/s.):
V =
m/s
(c) What is the wavelength of this light in the glass?
SOLUTION
Use n =
to find the wavelength in the glass (Give your answer in nm.):
An =
nm
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