Question

In: Physics

What is the wavelength of an electron with a kinetic energy of 8 keV? What are...

What is the wavelength of an electron with a kinetic energy of 8 keV?
What are the wavelength and frequency of the 8 keV x-rays frequently used for protein crystallography experiments? Compare to question 17 (What is the wavelength of an electron with a kinetic energy of 8 keV?).
Consider electrons are accelerated with 5 kV voltage in a cathode ray tube. What is the short wavelength limit (SWL) of the continuous radiation that will be obtained?
Thanks

Expert Solution

Solution:

The wavelength of an electron is related to Kinetic energy by the equation,

where is the planck's constant and is the mass.

(a) Given,

So, The wavelength is given by

(b) The wavelength of an EM wave is related to its energy E by

Given,

Thus,

The frequency is given by,

Comparing, wavelength of electron and x-rays, we have

(c) The electrons are accelerated with 5 kV voltage in the cathode ray tube. So, the short wavelength limit (SWL) is given by,

genius_generous answered 2 years ago

In a laboratory experiment, an electron with a kinetic energy of 0.440 keV is shot toward...

In a laboratory experiment, an electron with a kinetic energy of 0.440 keV is shot toward another electron initially at rest (see figure below). (1 eV = 1.602 ✕ 10−19 J) The collision is elastic. The initially moving electron is deflected by the collision. (a) Is it possible for the initially stationary electron to remain at rest after the collision? Yes. However, this will only occur when the moving electron has a much higher kinetic energy than the question states....

In the figure, an electron with an initial kinetic energy of 4.00 keV enters region 1...

In the figure, an electron with an initial kinetic energy of 4.00 keV enters region 1 at time t = 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.00510 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 25.0 cm. There is an electric potential difference ΔV = 2000 V across the gap, with a polarity such that the electron's speed increases uniformly...

An electron of kinetic energy 0.972 keV circles in a plane perpendicular to a uniform magnetic...

An electron of kinetic energy 0.972 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is 26.9 cm. Find (a) the electron's speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion.

An electron of kinetic energy 1.69 keV circles in a plane perpendicular to a uniform magnetic...

An electron of kinetic energy 1.69 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is 20.1 cm. Find (a) the electron's speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion.

1. For what kinetic energy is the de Broglie wavelength of an electron equal to its...

1. For what kinetic energy is the de Broglie wavelength of an electron equal to its Compton wavelength? Express your answer in units of mc2 in doing the calculation, and then use mc2 = 0.5 MeV.(Answer: 0.2 MeV) 2. A beam of electrons with energy 1.0 eV approaches a potential barrier with U = 2.0 eV, whose width is 0.10 nm (see a figure below). Estimate the fraction of electrons that tunnel through the barrier. (Hint: use the relation of...

The scattered photon has an energy of 120 keV and the electron recoils with an energy...

The scattered photon has an energy of 120 keV and the electron recoils with an energy of 40 keV in Compton scattering. Find: (a) the incident photo wavelength (b) the scattering angle of the photon (c) the angle at which the electron recoils

An electron of kinetic en- ergy 1.20 keV circles in a plane per- pendicular to a...

An electron of kinetic en- ergy 1.20 keV circles in a plane per- pendicular to a uniform magnetic field. The orbit radius is 32.7 cm. Find (a) the electron’s speed, (b) the magnetic field magnitude, (c) the circling frequency, and (d) the period of the motion. For problem 28.21 calculate the cyclotron period in nanoseconds using a cyclotron radius of 32.7 cm. 5 sig. figs.

What is the maximum kinetic energy of an electron emitted in the beta decay of a...

What is the maximum kinetic energy of an electron emitted in the beta decay of a free neutron?

A positron with kinetic energy 2.40 keV is projected into a uniform magnetic field of magnitude...

A positron with kinetic energy 2.40 keV is projected into a uniform magnetic field of magnitude 0.110 T, with its velocity vector making an angle of 80.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path answer with units please

A positron with kinetic energy 2.00 keV is projected into a uniform magnetic field of magnitude...

A positron with kinetic energy 2.00 keV is projected into a uniform magnetic field of magnitude 0.140 T, with its velocity vector making an angle of 83.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path.