Question

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?

Answer #1

a)

d = 1.5/8500 = 1.765 x 10^{-4} cm = 1.765 x
10^{-6} m

b)

= wavelength = 588 nm = 588 x 10^{-9} m

= angle

for maxima, we have

d Sin = (2 n + 1) (/2)

(1.765 x 10^{-6}) Sin
= (2 (2) + 1) ((588 x 10^{-9})/2)

= 56.41 deg

c)

D = screen distance = 1.55 m

y = linear distance on the screen

tan = y/D

tan56.41 = y/1.55

y = 2.33 m

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.

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...

Monochromatic light at 577 nm illuminates a diffraction grating
with 325 lines/mm. Determine (a) the angle to the first - order
maximum, (b) the highest order that can be observed with this
grating at the given wavelength, and (c) the angle to this highest
- order maximum

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 460 nm is incident on a single slit
with a slit width of 1.55 mm. A Single Slit Diffraction
Pattern is observed on a screen that is 1.55 m away from
the slit.
What is the angle for the 1st order
minimum?
What is the angle (in degrees - written as "deg") for
the 2nd order minimum?
How wide (in mm) is the Central
Maximum?
How wide (in mm) is the First
Maximum that is...

A diffraction grating with 600 lines/mm is illuminated with
light of wavelength 510 nm. A very wide viewing screen is 2.6 m
behind the grating.
What is the distance between the two m = 1 bright fringes?
How many bright fringes can be seen on the screen?

A 550 lines/mm diffraction grating is illuminated by light of
wavelength 520 nm.
How many bright fringes are seen on a 3.7-m-wide screen located
2.1 m behind the grating?

A diffraction grating is made up of slits of width a with
separation d. The grating is illuminated by monochromatic plane
waves of wavelength ? at normal incidence. What is the angular
width of a spectral line observed in the first order if the grating
has N slits? State your answer in terms of the given variables. ??w
=?
Monochromatic light with wavelength 515 nm is incident on a slit
with width 0.0213 mm. The distance from the slit to...

24.73 . LIght is incident on a diffraction grating with 8600
lines/cm , and the pattern is viewed on a screen 2.5 m from the
grating. The incident light beam consists of two wavelengths,
4.5×10?7 m and 6.9×10?7 m .
Part A Calculate the linear distance between the first-order
bright fringes of these two wavelengths on the screen.

1. a. Light of wavelength 694.3 nm from a ruby laser is incident
on two narrow parallel slits cut in a thin sheet of metal. The
slits are separated by a distance of 0.088 mm. A screen is placed
1.5 m beyond the slits. Find the intensity, relative to the central
maximum, at a point on the screen 1.4 cm to one side of the central
maximum.
b. In a double-slit experiment, the intensity at the peak of the
central...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 28 minutes ago

asked 35 minutes ago

asked 35 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago