Question

A beam of light containing red (660 nm) and violet (410 nm) wavelengths travels from air, through a flat piece of crown glass 1.38 cm thick, and then back to air.

(a) If the beam has an angle of incidence of 20.2° in air, determine the angle at which the two colors of light emerge from the crown glass. The index of refraction respectively for red and violet light in crown glass is 1.512 and 1.530. (Enter a number to three decimal places.)

red | ° |

violet | ° |

(b) Determine the distance separating the red and violet light as
it emerges from the glass.

=

Answer #1

lambda_red=660nm

lambda_violet=410nm

thickness of the crown glass, t=1.38 cm

a)

angle of incidence, theta=20.2 degrees

here,

angle of emerging is also same as angle of incidence,

for both red and violet light, angle of emerging = 20.2 degrees

b)

by using Snell's law,

n1*sin(theta1)=n2*sin(theta2)

for the red light,

1*sin(20.2)=1.512*sin(theta2)

===> theta2=13.2 degrees

distance travelled by the red light, x1=t*tan(theta2)

x1=1.38*tan(13.2)

x1=0.324 cm

and

for the voilet light,

1*sin(20.2)=1.53*sin(theta2)

===> theta2=13.043 degrees

distance travelled by the voilet light, x2=t*tan(theta2)

x2=1.38*tan(13.043)

x2=0.319 cm

the separating distnace between the red and voilet light as it
emerges,

d=x1-x2

d=0.324 - 0.319

d=5*10^-3 cm

A beam of light containing red (660 nm) and violet (410 nm)
wavelengths travels from air, through a flat piece of crown glass
2.24 cm thick, and then back to air.
(a) If the beam has an angle of incidence of 38.6° in air,
determine the angle at which the two colors of light emerge from
the crown glass. The index of refraction respectively for red and
violet light in crown glass is 1.512 and 1.530. (Enter a number to...

A narrow beam of light containing red (660 nm) and blue (470 nm)
wavelengths travels from air through a 1.60 cm thick flat piece of
crown glass and back to air again. The beam strikes the glass at a
25.0° incident angle.
(a) At what angles do the two colors emerge from the glass?
red °
blue °
(b) By what distance (in cm) are the red and blue separated when
they emerge?
cm

A parallel beam of light containing orange (610 nm) and violet
(410 nm) wavelengths goes from fused quartz to water, striking the
surface between them at a 60.0º incident angle. (a) What is the
angle between the two colors in water? (b) What time in nanoseconds
is required for each light ray travel 0.200 m?

A beam of white light goes from air into water at an incident
angle of 75.0o . At what angles are the red (660 nm) and violet
(410 nm) parts of the light refracted? What is the index of
refraction of the red part of the light and the violet part of the
light?

Light containing wavelengths of 400 nm, 500 nm, and 650 nm is
incident from air on a block of crown glass at an angle of 48.6°.
(Assume crown glass has refractive indices of n400 nm = 1.53, n500
nm = 1.52, and n650 nm = 1.51.)
(a) Are all colors refracted alike, or is one color bent more
than the others? 400 nm light is bent the most 500 nm light is bent
the most 650 nm light is bent...

a beam of light travels from air into a sheet of glass having
refractive index n.
a if we increase n, the angle of incidence, decreases
b if we double the angle of incidence, the angle of reflection
also doubles
c the angle of refraction will be greater than the angle of
incidence \
d if the angle of incidence is large enough, the light will be
totally reflected back into the air
e if we increase the angle of...

Violet light and red light travel through air and strike a block
of plastic at the same angle of incidence. The angle of refraction
is 30.710° for the violet light and 31.220° for the red light. The
index of refraction for violet light in plastic is greater than
that for red light by 0.0480. Delaying any rounding off of
calculations until the very end, find the index of refraction for
violet light in plastic.

Violet light and red light travel through air and strike a block
of plastic at the same angle of incidence. The angle of refraction
is 30.400 degrees for the violet light and 31.200 degrees for the
red light. The index of refraction for violet light in plastic is
greater than that for red light by 0.0400. Delaying any rounding
off of calculations until the very end, find the index of
refraction for violet light in plastic.

The indices of refraction for violet light (λλ = 400 nm) and red
light (λλ = 700 nm) in diamond are 2.46 and 2.41, respectively. A
ray of light traveling through air strikes the diamond surface at
an angle of 54.0 ∘∘ to the normal.
A) Calculate the angular separation between these two colors of
light in the refracted ray.
Express your answer in degrees.

A parallel beam
of light containing
two wavelengths of
λ1=455
nm and
λ2
=642
nm enters the silicate flint glass of an equilateral prism at an
angle of 45o.
At what angle
θ1
and
θ2
does each beam leave the prism? (hint: Use the chart to find the
index of refraction
as a function of wavelength)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 18 minutes ago

asked 23 minutes ago

asked 27 minutes ago

asked 30 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 40 minutes ago