Question

An electron microscope accelerates electrons from rest through a
potential diﬀerence of 10 kV. The charge on an electron is
-1.60×10^{-19}C and the mass of an electron is
9.11×10^{-31}kg.

(a) If the potential energy of an electron is taken to be 0
initially (at a 0 V plate), what potential energy does it have in
Joules after accelerating to the 10 kV plate? (The electrons
actually pass through a small hole in this plate before continuing
on toward the sample).

(b) What speed does the electron reach by the time it reaches the
10 kV plate?

(c) What wavelength does the electron have when it has accelerated
through this potential diﬀerence?

Answer #1

For electron microscope which accelerates electrons from rest
through a potential difference of 10 kV.
(a) If the potential energy of an electron is taken to be 0
initially (at a 0 V plate), what potential energy does it have in
Joules after accelerating to the 10 kV plate? (The electrons
actually pass through a small hole in this plate before continuing
on toward the sample).
(b) What speed does the electron reach by the time it reaches
the 10...

If an electron is accelerated from rest through a potential
difference of 7 kV, what is its resulting speed? (e = 1.60 ×
10-19 C, k = 1/4πε0 = 8.99 × 109 N
∙ m2/C2, mel = 9.11 x
10-31 kg). (Give your answer to the nearest km/s).

Starting from rest, an electron accelerates through a potential
difference of 40 kV. (a) What is its de Broglie wavelength? (b)
What is the highest frequency of the photon produced by this
electron when it is stopped by hitting a target?

a) In an electron microscope, a potential difference of 20 kV is
applied to accelerate the electrons. Determine the wavelength (in
m) of the X-ray photons of equal energy as said electrons. If the
wavelength of the X-rays is between 10 and 0.01 nm, what can you
deduce about its calculation? b) An electron and a neutron have the
same wavelength of de Broglie.

Through what potential difference ΔV must electrons be
accelerated (from rest) so that they will have the same wavelength
as an x-ray of wavelength 0.145 nm ?
Use 6.63×10−34 J⋅s for Planck's constant,
9.11×10−31 kg for the mass of an electron, and
1.60×10−19 C for the charge on an electron. Express your
answer using three significant figures.

Electrons are accelerated through a potential difference of 940
kV, so that their kinetic energy is 9.40×105 eV.
A) What is the ratio of the speed v of an electron having this
energy to the speed of light, c?
B) What would the speed be if it were computed from the
principles of classical mechanics?

In the figure, an electron accelerated from rest through
potential difference V1=1.39 kV enters the gap between two parallel
plates having separation d = 22.1 mm and potential difference V2=
98.7 V. The lower plate is at the lower potential. Neglect fringing
and assume that the electron's velocity vector is perpendicular to
the electric field vector between the plates. In unit-vector
notation, what uniform magnetic field allows the electron to travel
in a straight line in the gap?

In a TV tube an electric potential difference accelerates
electrons from a rest position towards a screen. Just before
reaching the screen, the electrons have a wavelength of
1.2×10^−11?. Determine the kinetic energy of the electrons just
before they reach the screen. Your final answer should have units
of eV.
??=9.11×10^−31??
c = 3.0x10^8 m/s
h = 6.63x10^-34 js

Q. Electrons are accelerated in a television tube through
a
potential difference of 9.8 kV. Find the highest frequency
and
minimum wavelength of the electromagnetic wave emitted,
when theses electrons strike the screen of the tube. In which
region of the spectrum will these waves lie?
and
Q. High energy photons ( y -rays) are scattered from electrons
initially at
rest. Assume the photons are backscatterred and their energies are
much
larger than the electron’s rest-mass energy, E >>
m0c2...

A
beam of electrons is accelerated through a potential difference of
10 kV before entering a velocity selector. If the B-field of the
velocity selector has a value of .010 T, what value of the E-field
is required if the particles are to be undeflected?
I have the answer. It is 5.9 x 10^5 V/m. Please thouroughly
explain how to get to this answer and what undeflected means.

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