Visible light passes through a diffraction grating that has 900
slits per centimeter, and the interference pattern is observed on a
screen that is 2.80m from the grating. In the first-order spectrum,
maxima for two different wavelengths are separated on the screen by
3.10mm . What is the difference between these wavelengths? in
meters
A diffraction grating is made up of slits of width a with
separation d. The grating is illuminated by monochromatic plane
waves of wavelength λ 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. Δθw
=
When you shine a laser with unknown wavelength through a
diffraction grating with 1000 slits/mm, you observe the m = 1
bright fringe on the screen with an angle of 26 degrees away from
the center of the grating.
What is the wavelength of your laser?
Plug in the relevant numbers to solve for your laser
pointer photon wavelength in nanometers.
If the new diffraction bright fringe is at a LARGER
angle than the diffraction bright fringe from the first...
a
diffraction grating has 400 slits in total. would you be able to
resolve the sodium doublet in the 3rd order with this grating?
explain the wavelengths of the sodium doublet are 589nm and 589.6nm
Question 2
In a diffraction pattern due to double slits, the third order
interference maxima falls on the first order diffraction minima.
What is the relationship between slot srparation and slit width.
Two slits are identical
The intensity pattern formed by a diffraction grating of N slits
is
where θ is the angle of diffraction. The radiation reaches the
grating at normal incidence.
Using the formula above and m = 0, ±1, ±2 ... and p = an
integer ≠ mN
show that
the interference maxima occur for β = mπ
and minima occur for β = pπ/N .
show that the orders m=pd/a (of interference) are missing if
d/a is an integer .
A 1.2-cm-wide diffraction grating has 1000 slits. It is
illuminated by light of wavelength 510 nm. What are the angles of
the first two diffraction orders? Answer = ∘,∘
A 1.2-cm-wide diffraction grating has 1000 slits. It is
illuminated by light of wavelength 510 nm. What are the angles of
the first two diffraction orders? Answer = ∘,∘
The human eye can readily detect wavelengths from about 400 nm to 700 nm. If white light illuminates a diffraction grating having 750 lines/mm, over what range of angles does the visible m = 1 spectrum extend?
Light shines on a diffraction grating with a 4000 rulings
(slits) per cm, which is immersed in water (refractive index=1.33),
resulting in a 3rd order spectral line at a diffraction
angle of 35 degrees. What is the wavelength of the light in
air?
3) You are working with a lab instrument that has a diffraction
grating of 600lines/mm. 450nm wavelength light passes through the
grating and hits a screen 2m away from the grating.
a. What is the spacing between the lines of the grating? b.
Given this spacing, what is the distance between two bright spots
on the screen? c. If you instead send red (650nm) light through the
screen, would this increase or decrease the spacing on the screen?
Find the...