Question

A
diffraction grating with spacing d = 2000 nm produces an
interference pattern on a screen at a distance of 32 cm. If the
first and second maxima produced are located at y = 3 cm, and 5 cm
respectively, what is the wavelength of the light? Is this light
visible? What does that say about the screen in this apparatus? If
the frequency of the light used in question 1 above is decreased,
will the positions of the maxima relative to the central axis
increase or decrease?

Answer #1

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

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.

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?

Suppose a certain wavelength of light falls on a diffraction
grating and creates an interference pattern. (a) What happens to
the interference pattern if the same light falls on a grating that
has more lines per centimeter? (b) What happens to the interference
pattern if a longer-wavelength light falls on the same grating?

4) Two narrow slits are separated by a distance d. Their
interference pattern is to be observed on a screen a large distance
L away. a) Calculate the spacing y of the maxima of the screen for
light of wavelength 500 nm when L = 1 m and d = 1 cm. b) Would you
expect to observe the interference of light on the screen for this
situation? Explain. c) How close together should the slits be
placed for the...

A diffraction grating with 355 lines/mm is 1.2 m in front of a
screen. What is the wavelength of light whose first-order maxima
will be 16.4 cm from the central maximum on the screen?

White light (400 nm - 700 nm) diffraction pattern lights up a
screen that is 1.10 m away. The diffraction grating has 471 slits
per mm, which produces a rainbow of diffracted light. What is the
width of the first order rainbow on the screen?

1) A two slit interference/diffraction pattern is set up (thus
for this problem we will take into account the effects of both
diffraction and interference). You are given that the screen is 1.8
m away from the slits with width .01 mm and spacing .05 mm and
light of wavelength 640 nm is used. What is the smallest order
interference maximum that is \"missing\" from the
interference/diffraction pattern on the screen? n=

A grating has a line density of 1090 cm−1,
and a screen perpendicular to the ray that makes the central peak
of the diffraction pattern is 3.5 m from the grating. If
light of two wavelengths, 620 nm and 650 nm,
passes through the grating, what is the separation on the (flat)
screen between the fourth-order maxima for the two wavelengths?

You have a diffraction grating with 3000 lines/cm. You also have
a light source that emits light at 2 different wavelengths, 428 nm
and 707 nm, at the same time. The screen for your experiment is 1.5
meters from the diffraction grating.
A. What is the line spacing for the grating?
B. What is the difference in the angle of the 2nd bright fringe
for each wavelength for this grating?
C. Which wavelength is closer to the center of the...

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