Laser light of some wavelength λ1 shines on a diffraction
grating with 285 lines/mm at normal...
Laser light of some wavelength λ1 shines on a diffraction
grating with 285 lines/mm at normal incidence, producing a pattern
of maxima on a large screen 1.50 m from the grating. The first
principal maximum is observed to be at an angle of 8.20° from the
central maximum.
(a) Determine the wavelength of the incident light.
(b) A second laser of wavelength λ2 is added, and it is
observed that the third principal maximum of λ2 is at the same
location on the screen as the fourth principal maximum of λ1. What
is the wavelength λ2?
Solutions
Expert Solution
a) wavelngth of incident light can be find using below
formula
b)wavelength of second laser can be find using below formula
A student used a diffraction grating with 633 lines/mm to
determine an unknown wavelength of light. The light passed through
the grating, and the pattern was observed on a paper placed 90.0 cm
past the grating. The distance from the center bright spot to the
second bright spot from the center was measured to be 71.9 cm. What
was the wavelength of light in nanometers (nm)? (State answer in
nanometers as a whole number with no digits right of decimal.)
A 500 lines per mm diffraction grating is illuminated by light
of wavelength 620 nm .
Part B
What is the angle of each diffraction order?
Enter your answers using two significant figures in ascending
order separated by commas.
A Laser light is passed through a grating having 300 lines/mm
and diffraction pattern is observed at 51.5 cm, 53.5cm and 55.5cm
respectively. The diffraction pattern having separation of
103mm,107mm and 111mm between the maximum and minimum interference
correspondingly. Calculate the wavelength of laser? Also calculate
the percentage error if the actual wavelength of laser is
660nm.
A 500 lines per mm diffraction grating is illuminated by light
of wavelength 640 nm.
1. What is the maximum diffraction order seen? Express your
answer as an integer.
2. What is the angle of each diffraction order starting from
zero diffraction order to the maximum visible diffraction order?
Enter your answers in degrees in ascending order separated by
commas.
1)What color of laser light shines through a diffraction
grating with a line density of 500 lines/mm if the third maxima
from the central maxima (m=3) is at an angle of 45°? Show all work
in your answer.
Hint: Calculate the wavelength then use Table 1 to
identify the color.
2) How would the interference pattern produced by a
diffraction grating change if the laser light changed from red to
blue?
Laser light from argon ion laser of wavelength 488.0 nm passes
through a diffraction grating. The first bright spots occur at an
angle 6.726 degree left and right from the central maximum. How
many additional pares of bright spots are there beyond the first
bright spots?
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 scientist shines a beam of white light through a
diffraction grating (with 500linesmm), producing a diffraction
pattern. The spectrometer only looks at the m=1 bright spot! (The
m=2 spectrum will not fit in the view.)
a) Calculate the distance d between individual slits
(also called “lines”).
b) The white light spreads into its component colors.
For red light (=700nm), what is the diffraction angle θR (in
degrees)?
c) For violet light (=400nm), what is the diffraction angle
θV (in...
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?
A diffraction grating is illuminated first with red light of
wavelength 600 nm and then with light of an unknown wavelength. The
fifth-order maximum of the unknown wavelength is located exactly at
the third-order maximum of the red light. What is the unknown
wavelength?