Question

Monochromatic light with a 462 nm wavelength passes through a
750 μm wide single slit on its way to a viewing screen 2.51 m
beyond the slit. A converging lens with focal length *f* =
4.92 m is placed directly behind the slit.

Determine the width of the central maximum with the added lens. You may assume the small angle approximation applies.

Answer #1

For diffraction pattern :

a is the slit width

Due to small angle approximation :

Where,

Therefore,

Now, fringe width is given by :

Therefore, width of central fring is given by :

1.Light with a wavelength of 626 nm passes through a slit 7.74
μm wide and falls on a screen 1.75 m away. Find the linear
distance on the screen from the central bright fringe to the first
bright fringe above it._________cm
2. A 2.05-cm-tall object is placed 30.0 cm to the left of a
converging lens with a focal length f1 = 21.0 cm . A
diverging lens, with a focal length f2 = -42.5 cm , is
placed 30.0...

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...

Light with a wavelength of 626 nm passes through a slit 7.74
μm wide and falls on a screen 1.75 m away.
Find the linear distance on the screen from the central bright
fringe to the first bright fringe above it. ________cm

Light with a wavelength of 633 nm passes through a slit 6.38
?m wide and falls on a screen 1.60 m away. Find the
distance on the screen from the central bright fringe to the third
dark fringe above it. ___ cm
Monochromatic light passes through two slits separated by a
distance of 0.0332 mm. If the angle to the third maximum above the
central fringe is 3.21 degrees, what is the wavelength of the
light? __ nm

Monochromatic light of wavelength λ = 595 nm from a distant
source passes through a slit 0.460 mm wide. The diffraction pattern
is observed on a screen 4.00 m from the slit. In terms of the
intensity I0 at the peak of the central maximum, what is the
intensity of the light at the screen the following distances from
the center of the central maximum?
a) 1.00mm
b) 3.00mm
c) 5.00 mm

Monochromatic light of wavelength 466 nm from a distant source
passes through a slit that is 0.0330 mm wide. In the resulting
diffraction pattern, the intensity at the center of the central
maximum (? = 0?) is 1.06×10?4 W/m2 . What is
the intensity at a point on the screen that corresponds to
? = 1.20?.

Monochromatic light of wavelength 477 nm from a distant source
passes through a slit that is 0.0310 mm wide. In the resulting
diffraction pattern, the intensity at the center of the central
maximum (θ = 0∘) is 1.28×10−4 W/m2 .
What is the intensity at a point on the screen that corresponds
to θ = 1.20∘. Express your answer to three significant figures and
include the appropriate units.

Monochromatic electromagnetic radiation with wavelength
λ from a distant source passes through a slit. The
diffraction pattern is observed on a screen 2.50 m from the
slit.
Part A
If the width of the central maximum is 6.00 mm, what is the slit
width a if the wavelength is 500 nm (visible light)?
a =
m
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Part B
If the width of the central maximum is 6.00 mm, what is the...

Light from a source of wavelength 475 nm passes through a single
slit and falls on a screen 2.5 m away. If the slit width is 2.00 x
10^-6 m, how many maxima occur, including the central maximum?
A student performs Young's double-slit experiment using a slit
separation of 21.6 mm. A screen is placed 3.00 m from the centre of
the sources such that a point on the fifth nodal line is 37.5 cm
from the centre of the...

Light with a wavelength of 702 nm passes through a slit 7.50 ?m
wide and falls on a screen 2.05 m away. Find the linear distance on
the screen from the central bright fringe to the first bright
fringe above it. Express your answer to three significant
figures.

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