Question

Light with a wavelength of 540 nm is incident on a diffraction grating that has 8500 lines/cm.

a) What is the spacing of the slits?

b) Calculate the angles of the first two maxima.

Answer #1

Monochromatic light of wavelength 588 nm is incident upon a
diffraction grating that contains 8500 lines spread out over a
distance of 1.5 cm.
a) What is the line spacing of the grating?
b) At what angle does the 2nd principle maximum occur?
c) If the screen is located a distance of 1.55 m from the
grating, what is the linear distance on
the screen that separates the central maximum with the 2nd order
principle maximum?

Light from a hydrogen source is incident on a diffraction
grating. The incident light contains four wavelengths: λl = 410.1
nm, λ2 = 434.0 nm, λ3 = 486.1 nm, and λ4 = 656.3 nm. The
diffraction grating has 410 lines/mm. Calculate the angles between:
λl and λ4 in the first-order spectrum λl and λ3 in the third-order
spectrum

A 500
lines per mm diffraction grating is illuminated by light of
wavelength 540 nm .
You may want to review (Pages 544 - 547) .
Part A
What is the maximum diffraction order seen?

A 2.0-cm wide diffraction grating has 1000 slits. It is
illuminated by light of wavelength 630nm.
What are the angles of the first two diffraction orders?

Light of wavelength 600 nm shines on a diffraction grating that
has 400 lines per cm. The light emerging from the grating hits a
screen 50 cm wide so that the central maximum is exactly in the
middle of the screen. Assume that the screen is 3 m from the
grating.
How many maxima appear on the screen?
(a)
4
(b)
6
(c)
7
(d)
5
(e)
3

3. Light of wavelength 550 nm is incident on a diffraction
grating that is 1 cm wide and has 1000 slits. What is the
dispersion of the m=2 line?
I believe the answer is 2.0 x 10^5 rad/m, however, haven't been
able to get that as an answer.
I believe i'm supposed to start with the Dispersion equation D=
(Change in theta / Change in Lambda) = m/(dcos(theta)).
Any direction is helpful, thank you!

A diffraction grating has 1.3 ?m spacing. Find the
first-order diffraction angles for the following wavelengths.
Part A: Find the first-order diffraction angles for orange light
(615 nm ).
Part B: Find the first-order diffraction angles for green light
(540 nm ).
Part C: Find the first-order diffraction angles for red light
(680 nm ).

Light from an argon laser strikes a diffraction grating that has
4,917 lines per cm. The first-order principal maxima are separated
by 0.4 m on a wall 1.62 m from the grating. What is the wavelength
of the laser light in nm? Enter an integer.

A diffraction grating is made up of slits of width 400 nm with
separation 1100 nm. The grating is illuminated by monochromatic
plane waves of wavelength λ = 720 nm at normal incidence.
(a) How many maxima are there in the full
diffraction pattern? (b) What is the angular width
of a spectral line observed in the first order if the grating has
960 slits?

A diffraction grating is made up of slits of width 440
nm with separation 1300 nm. The grating is illuminated by
monochromatic plane waves of wavelength λ = 810 nm at normal
incidence. (a) How many maxima are there in the
full diffraction pattern? (b) What is the angular
width of a spectral line observed in the first order if the grating
has 1300 slits?

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