Question

Bichromatic light of wavelengths λ1=572λ1=572 nm and λ2=647λ2=647 nm is incident on a double-slit plate. The separation between the slits dd and the width of each slit are not given. The distance between the viewing screen and the plate is L=1.0L=1.0m.

The first interference maximum of the 572 nm-wavelength of light is observed at y1=4.4y1=4.4 mm. What is the slit spacing, dd?

Using the far-field approximation, calculate the separation between the m=3m=3 interference maxima of λ1λ1 and λ2λ2.

There is a dark fringe where the m=6m=6-order bright fringe in the interference pattern of the λ2λ2 light should be. This corresponds to the n=1n=1-order diffraction minimum. Use this information to calculate the width of the slit, aa.

Calculate the width of the central maximum of the diffraction pattern of the λ2=647λ2=647 nm-wavelength light.

Calculate the number of bright fringes (interference maxima) within the central diffraction peak of the λ=λ2λ=λ2-wavelength light.

Answer #1

A light source shines light consisting of two wavelengths,
λ1 = 540 nm (green) and λ2
= 450 nm (blue), on two slits separated by 0.170 mm. The two
overlapping interference patterns, one from each wavelength, are
observed on a screen 1.31 m from the slits. What is the minimum
distance (in cm) from the center of the screen to a point where a
bright fringe of the green light coincides with a bright fringe of
the blue light?
cm

Monochromatic light of wavelength λ1 is sent
through two closely-spaced slits separated by a distance
d1 = 1.8 mm. A resulting interference pattern
is shown on a screen L1 away. Another
monochromatic light source, this one of wavelength
λ2, is sent through a diffraction grating
toward the same screen, resulting in a second interference pattern.
The diffraction grating is a distance L2 from
the screen and has 400 lines per mm etched onto it.
A) Assume that L1 = L2...

Red light of wavelength 633 nm from a helium-neon laser passes
through a slit 0.350 mm wide. The diffraction pattern is observed
on a screen 2.55 m away. Define the width of a bright fringe as the
distance between the minima on either side.
a) What is the width of the central bright fringe?
b) What is the width of the first bright fringe on either side
of the central one?

When a light source with wavelength of 500 nm is normally
incident to a plate with a single slit, the central diffraction
maximum observed on a screen that is 2.95 mm behind the
plate has a width w. The incident light is then changed to a source
with wavelength of 632 nm. How far behind the plate should the
screen now be placed in order to obtain the same width w for the
central diffraction maximum?

Coherent light of wavelength 600 nm is incident on a narrow
slit. The diffraction pattern is observed on a screen that is 4.00
m from the slit. On the screen the width of the central maximum of
the diffraction pattern is 3.00 mm. What is the width of the slit?
answer is 1.6 mm

1. monochromatic light of wavelength 540 nm from a source passes
through a slit that is 0.03mm wide. What is the width of the
central bright fringe on the diffraction pattern formed on a screen
placed at a distance of 2.00 m away from the slit?
2. Light of wavelength 500 nm is incident on a single slit of
width 0.02 mm to produce a diffraction pattern with intensity
4.00×10^-4 W/m^2 at the center of a screen placed far away...

A double-slit experiment uses coherent
light of wavelength 633 nm with a slit separation of 0.100 mm and a
screen placed 2.0 m away.
(a) How wide on the screen is the central bright fringe?
(b) What is the distance on the screen between first-order and
second-order bright fringes?
(c) What is the angular separation (in radians) between the
central maximum and the first-order maximum?

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...

With a monochromatic light of wavelength ?? = 532 nm A
double-slit interference pattern is produced on a screen as shown
in the picture. The slit separation ?? is 0.10 mm, and the
slit–screen separation ?? is 50 cm. Assume that the angle θ (from
the slit center to the maxima and minima) small enough to permit
use of the approximations sin θ ≈ tan θ ≈ θ, in which θ is
expressed in radian measure.
a. A strip of...

Blue light (λ = 450 nm) is used in a double slit experiment with
the slits separated
by d = 2.10 × 10^-4 m. The distance between the third order bright
fringe and the
central bright fringe is 1.93 × 10^-2 m.
(a) (3 pts.) Determine the distance between the double slit and the
screen.
(b) (3 pts.) Calculate the width of the central bright fringe, i.e.
the separation of
the two zeroth order dark fringes.
(c) (3 pts.) The...

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