Question

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

Answer #1

Three discrete spectral lines occur at angles of 10.0°, 13.6°,
and 15.0°, respectively, in the first-order spectrum of a
diffraction grating spectrometer.
(a) If the grating has 3750 slits/cm, what are the wavelengths
of the light?
λ1
= nm (10.0°)
λ2
= nm (13.6°)
λ3
= nm (15.0°)
(b) At what angles are these lines found in the second-order
spectra?
θ
= ° (λ1)
θ
= ° (λ2)
θ
= ° (λ3)

A diffraction grating with 67 slits per centimeter is used to
measure the wavelengths emitted by hydrogen gas. At what angles in
the third-order spectrum would you expect to find the two violet
lines of wavelength 434 nm and of wavelength 410 nm? (angles in
radians) The 434 nm line: The 410 nm line:

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.

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.

A light source is directed into a 100x100 mm diffraction grating
at an agle of 20 degrees relative to the grating's normal. The
grating has a ruling density of 1200 lines/mm. A 100 cm long screen
is placed 50 cm from the grating and the dispersed spectrum is
displayed on the screen. The screen is placed so it is directly in
front of the grating. You observe the visible spectrum that runs
from 400 nm to 800 nm.
Calculate the...

1. Intense white light is incident on a diffraction grating that
has 752 lines/mm.
(a) What is the highest order in which the complete visible
spectrum can be seen with this grating? (Enter 1 for first order, 2
for second order, etc.)
(b) What is the angular separation between the violet edge (400 nm)
and the red edge (700 nm) of the first order spectrum produced by
the grating?
2. The angle of incidence of a light beam in air...

White light is incident upon a diffraction grating with 1200
lines per mm. What is the angle between the red light (700 nm) and
green light (550 nm) leaving the grating in the first order bright
fringe?
a.
32.8 degrees
b.
24.5 degrees
c.
57.2 degrees
d.
15.9 degrees

White light is incident upon a diffraction grating with 1200
lines per mm. What is the angle between the red light (700 nm) and
green light (550 nm) leaving the grating in the first order bright
fringe?
a.
32.8 degrees
b.
24.5 degrees
c.
57.2 degrees
d.
15.9 degrees

The hydrogen spectrum has a red line at 656 nm and a violet line
at 434 nm. What angular separation between these two spectral lines
is obtained with a diffraction grating that has 4440 lines/cm?
(Assume that the light is incident normally on the grating.)
first order
separation
°
second order
separation
°
third order
separation
°
The hydrogen spectrum has a red line at 656 nm and a violet line
at 434 nm. What angular separation between these two...

White light is spread out into its spectral components by a
diffraction grating. If the grating has 2055 lines per centimeter,
at what angle does red light of wavelength 640 nm appear in
first-order spectrum? (Assume that the light is incident normally
on the grating.)
°

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