Question
In: Physics
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) If these electrons were ejected from a piece of Titanium with a work function of 3.84 eV via the photoelectric effect, what was the wavelength of the light used?
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? 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...
A beam of electrons is incident on a single slit whose width could be varied with...
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...
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 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.
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 ?...
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?
Light from a He-Ne laser (wavelength 633nm) passes through a single slit of width 25μm. At...
Light from a He-Ne laser (wavelength 633nm) passes through a
single slit of width 25μm. At the screen a distance away, the
intensity at the center of the central maxima is 8.25 W/m^2.
a. Draw a clear diagram showing the slit and the intensity
pattern seen on the screen. Label key quantities and key
features.
b. Find the maximum number of totally dark fringes (minima) seen
on the screen.
c. At what angle does the dark fringe (minima) that is...
16a)Consider a 550 nm light falling on a single slit of width 0.75 μm. At what angle...
16a)Consider a 550 nm light falling on a single slit of width
0.75 μm. At what angle (in degrees) is the first minimum
for the light?
16b) Sodium vapor light (average wavelength 610 nm)
falls on a single slit of width 7.3 μm. At what angle θ,
in degrees, does it produces its second minimum?
16c) A diffraction grating has 2000 lines per centimeter. At
what angle, in degrees, will the first-order maximum be for 505-nm
wavelength green light?
light passes through a single slit of width 8.77 x 10^-6 m. The second (m =...
light passes through a single slit of width 8.77 x 10^-6 m. The
second (m = 2) light diffraction minimum occurs at an angle of
5.62°. What is the wavelength of the light, in nanometers?
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