Question

A light source shines light consisting of two wavelengths,
*λ*_{1} = 540 nm (green) and *λ*_{2}
= 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

Answer #1

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...

Consider a source of light with wavelength λ = 490 nm
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slits. On the screen, the location of the second dark spot to the
left of the central bright spot is found to be y = 1.2 cm
from the central bright spot. Let this particular position...

Light consisting of a mixture of two different wavelengths falls
on a two-slit interference apparatus. The centers of the slits are
0.100 mm apart. After passing through the slits, the light falls on
a screen 5.00 m from the slits. For each of the two colors, the
middle of the bright spot nearest to the central bright spot is at
the following distance from the middle of the central bright spot:
2.4 cm; 3.3 cm.
(a) Calculate the two wavelengths....

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...

A parallel beam
of light containing
two wavelengths of
λ1=455
nm and
λ2
=642
nm enters the silicate flint glass of an equilateral prism at an
angle of 45o.
At what angle
θ1
and
θ2
does each beam leave the prism? (hint: Use the chart to find the
index of refraction
as a function of wavelength)

Two
narrow slits separated by 0.05 mm are illuminated with light =
540 nm. How many bands of bright lines are there between the
central maximum and the 12-cm position? (The distance between the
double slits and the screen is 1 m).

In Young's experiment a mixture of orange light (611 nm) and
blue light (471 nm) shines on the double slit. The centers of the
first-order bright blue fringes lie at the outer edges of a screen
that is located 0.720 m away from the slits. However, the
first-order bright orange fringes fall off the screen. By how much
and in which direction (toward or away from the slits) should the
screen be moved, so that the centers of the first-order...

In Young's experiment a mixture of orange light (611 nm) and
blue light (471 nm) shines on the double slit. The centers of the
first-order bright blue fringes lie at the outer edges of a screen
that is located 0.500 m away from the slits. However, the
first-order bright orange fringes fall off the screen. By how much
and in which direction (toward or away from the slits) should the
screen be moved so that the centers of the first-order...

consider now interference of light as it passes through a
transmission grating with N slits with a separation h. The light is
composed of two wavelengths, λ1 = 500 nm and λ2 = 600 nm. The two
wavelengths lead to two interference patterns on a screen.
Some of the interference peaks from the 500 nm light overlap
with some interference peaks originating from the 600 nm light.
Calculate which interference peaks of the two colors overlap, up to
an interference...

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± Fringes from Different Interfering Wavelengths
Coherent light with wavelength 592 nm passes through two very
narrow slits, and the interference pattern is observed on a screen
a distance of 3.00 m from the slits. The first-order bright fringe
is a distance of 4.84 mm from the center of the central bright
fringe.
Part A
For what wavelength of light will the first-order dark fringe
(the first dark fringe next to a central maximum) be...

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