Question
In: Physics
A beam of electrons is incident on a single slit whose width could be varied with...
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A beam of electrons is incident on a single slit whose width could be varied with as high precision as we like. Assuming that we would like to resolve 1% difference in momentum, please estimate the slit width that would be necessary to resolve the interference pattern of the electrons if their kinetic energy is (a) 0.02 MeV, (b) 0.8 MeV and 120 MeV?
Hint: one does not need to do a detailed interference pattern analysis here, just use your QM common sense.
Solutions
genius_generous answered 2 years agoRelated Solutions
A stream of electrons travelling at 40.0 km/s is incident on a single slit of width...
A stream of electrons travelling at 40.0 km/s is incident on a
single slit of width 500.0 nm.
(a) What is wavelength of the electrons?
(b) What is the spacing between adjacent minima in the resulting
diffraction pattern if there is a screen 1.20 metres behind the
slit?
(c) If the electrons were instead sent one at a time (but still
many sent), rather than as a stream, would a diffraction pattern
still be seen? Why or why not?
(d)...
A stream of electrons travelling at 40.0 km/s is incident on a single slit of width...
A stream of electrons travelling at 40.0 km/s is incident on a
single slit of width 500.0 nm.
(a) What is wavelength of the electrons? What is the spacing
between adjacent minima in the resulting diffraction pattern if
there is a screen 1.20 metres behind the slit? If the electrons
were instead sent one at a time (but still many sent), rather than
as a stream, would a diffraction pattern still be seen? Why or why
not? If these electrons...
Consider a beam of electrons in a vacuum, passing through a very narrow slit of width...
Consider a beam of electrons in a vacuum, passing through a very
narrow slit of width 2.00?m. The electrons then head
toward an array of detectors a distance 1.080m away. These
detectors indicate a diffraction pattern, with a broad maximum of
electron intensity (i.e., the number of electrons received in a
certain area over a certain period of time) with minima of electron
intensity on either side, spaced 0.508cm from the center of the
pattern. What is the wavelength ?...
Width of Peak (cm): 1.6 Width of Slit for Single Peak: 2.3 The width of the...
Width of Peak (cm): 1.6 Width of Slit for Single Peak: 2.3
The width of the center peak (w) can be calculated using the
equation w = 2λL/ a
where a is the width of the slit. Use this equation to determine
the width of the slit that caused the diffraction pattern. Show
your work.
I am confused as to what I am finding since I do not have L. I
have going backwards λL = 1.84. If someone could...
A beam of monochromatic green light is diffracted by a slit of width 0.500 mm. The...
A beam of monochromatic green light is diffracted by a slit of
width 0.500 mm. The diffraction pattern forms on a wall 2.06 m
beyond the slit. The distance between the positions of zero
intensity on both sides of the central bright fringe is 5.10 mm.
Calculate the wavelength of the light.
A single-slit diffraction pattern is formed on a distant screen. If the width of the single...
A single-slit diffraction pattern is formed on a distant screen.
If the width of the single slit through which light passes is
reduced, what happens to the width of the central bright fringe?
Assume the angles involved remain small.
The
central bright fringe becomes
wider.
The
central bright fringe remains the same
size.
The
effect cannot be determined unless the distance between the slit
and the screen is
known.
The
central bright fringe becomes narrower.
Red light of wavelength 675 nm is incident on a slit of width 4.56 × 10−6...
Red light of wavelength 675 nm is incident on a slit of width
4.56 × 10−6 m. An observing screen is placed 1.50 m from the
slit.
9a) Find the distance between the third order dark fringe and
the central bright fringe (in meters).
9b) If you replaced the single slit with two slits centered on
the former position of the single slit, what would the separation
between the two slits need to be in order for the second order...
In a single slit diffraction experiment, the width of all the fringes are the same. Does...
In
a single slit diffraction experiment, the width of all the fringes
are the same. Does the fringe width remain the same with a curved
screen? Why?
Consider a case of single slit diffraction where we are directing a beam of light (of...
Consider a case of single slit diffraction where we are
directing a beam of light (of wavelength λ) through a single slit
of unknown width “D”. The pattern will be observed on a screen a
distance L from the slit. We will be able to take measurements of
the pattern on the screen.
Sketch the pattern you would expect to see and derive an expression
to relate a characteristic length of the pattern on the screen to
the width of...
A 10-slit aperture, with slit spacing five times the slit width of 10^-4 cm, is used...
A 10-slit aperture, with slit spacing five times the slit width
of 10^-4 cm, is used to produce a Fraunhofer diffraction pattern
with light of wavelength
435.8 nm. Determine the light intensity of the principal
interference maxima of orders 1, 2, 3, 4 and 5 relative to the
central fringe of zeroth order.
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