Question

1. In an experiment designed to measure the charge-to-mass ratio of the electron, electrons are accelerated from rest through a potential difference of 2000 volts. What is the de Broglie wavelength of each of these electrons? . m

2.Electrons with an energy of 0.620 eV are incident on a double slit in which the two slits are separated by 60.0 nm.

(a) What is the speed of these electrons?

m/s

(b) What is the de Broglie wavelength (in nanometers!) of these
electrons?

nm

(c) What is the angle between the two second-order maxima in the
resulting interference pattern?

Answer #1

a) Electrons with an energy of 0.842 eV are incident on a double
slit in which the two slits are separated by 40.0 nm.
What is the speed of these electrons?
_______ m/s
b) Electrons with an energy of 0.842 eV are incident on a double
slit in which the two slits are separated by 40.0 nm.
What is the de Broglie wavelength (in nanometers!) of these
electrons?
_______ nm
c) Electrons with an energy of 0.842 eV are incident...

A number of electrons are accelerated from rest through a
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slit setup with slit spacing d=74.4nm. The m=672
order maximum for this pattern is observed at θ=14.6∘ from
the normal to the slits.
1. What is the wavelength of the electrons?
2. What is the momentum of this electron?
3. Making the approximation that relativistic effects are
negligible, what is potential difference, V, through which
the electrons were accelerated?

A proton H1+ (mass = 1.67 x10-27 kg) is accelerated through a
potential difference to a speed of 100.0 m/s. qproton = e =
1.602x10-19 C, h = 6.626x10-34 J·s, p = mv.
(a) What is the de Broglie wavelength of this proton?
(b) What is the frequency of the photon?
(c) The steam of protons are subjected to a double slit
experiment. The slits are separated by 1.00x10–6 m and the screen
is 1.0 m from the slits. What...

1. a) What is the de Broglie wavelength of an electron that is
accelerated through an electrical potential difference of 20 volts?
b) What is the de Broglie wavelength of a proton that is
accelerated through an electrical potential difference of 20
volts?

A photon with frequency 9.996x1014 Hz strikes a slab of lead and
is absorbed without freeing an electron.
a) If the frequency of that photon is the threshold frequency
for lead, calculate the work function for lead. Express your answer
in eV.
b) Assume a photon of wavelength 200 nm strikes the lead,
freeing an electron. Calculate the maximum kinetic energy (in
Joules) of the liberated electron.
c) Calculate the de Broglie wavelength of the emitted electron.
You will need...

In a double-slit experiment, light with a wavelength λ passes
through a double-slit and forms an interference pattern on the
screen at a distance L from the slits. What statement is true for
the resulting interference pattern if the frequency of the light
increases?
The distance between maxima increases.
Not enough information given.
The distance between maxima stays the same.
The distance between maxima decreases.

A beam of electrons is accelerated from rest and then passes
through a pair of identical thin slits that are 1.40 nm apart. You
observe that the first double-slit interference dark fringe occurs
at ±18.0 ? from the original direction of the beam when viewed on a
distant screen.
Through what potential difference were the electrons
accelerated?

An interference pattern is produced by light with a wavelength
560 nm from a distant source incident on two identical parallel
slits separated by a distance (between centers) of 0.550 mm .
a) If the slits are very narrow, what would be the angular
position of the first-order, two-slit, interference maxima?
b)What would be the angular position of the second-order,
two-slit, interference maxima in this case?
c)Let the slits have a width 0.370 mm . In terms of the
intensity...

A laser emits a beam of light with a wavelength of 650nm which
is incident upon a double slit and produces an interference pattern
10 m away. The width of each slit is 0.1 mm and the separation of
the slits is 0.5 mm. Draw in detail (i.e. to scale with a ruler)
the resulting pattern you expect from -13cm to +13cm around the
central maxima. Show the interference bright and dark fringes/bands
that you would see, and their positions,...

An electron is accelerated through a potential difference of 100
V.
a. What is the velocity of the electron?
v = _______ x10 6 m/s
b. What is the momentum of the electron?
p = _______ x10 -24 kg m/s
c. What is the de Broglie wavelength of the electron?
λ = _______ nm

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