Question

Nuclear radii may be measured by scattering high-energy electrons from nuclei. (a) What is the de...

Nuclear radii may be measured by scattering high-energy electrons from nuclei. (a) What is the de Broglie wavelength for 287 MeV electrons? (b) Are these electrons suitable probes for this purpose?

Homework Answers

Answer #1

Part A)

Here energy = 287 Mev = 4.59 * 10-11 J can be taken as Kinetic Energy of electron.

Now De- broglie wavelenth = h/p here h is planks constant , and p is momentum

or wavelenth= h/ 2mK , Here m= mass and K= kinetic energy

so wavelength= (6.63 * 10-34)   / ( 2 * 9.1 * 10-31 * 4.59 * 10-11 )

So Wavelength = 1.12 * 10 -14 m

Part B)

Yes ,the electron is a better nuclear probe than the other(alpha particles of Rutherford scattering) because it is a point particle and can penetrate the nucleus.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
What is the kinetic energy in eV of an electron whose de Broglie wavelength is 18...
What is the kinetic energy in eV of an electron whose de Broglie wavelength is 18 % of the wavelength of a photon having the energy equal to electrons kinetic energy? Answer in eV
An electron is emitted from a middle-mass nuclide (A = 151, say) with a kinetic energy...
An electron is emitted from a middle-mass nuclide (A = 151, say) with a kinetic energy of 0.98 MeV. (a) What is its de Broglie wavelength? (b) Calculate the radius of the emitting nucleus.
a) A nuclear reactor produces fast neutrons (with energy ∼ 1MeV) which are then slowed down...
a) A nuclear reactor produces fast neutrons (with energy ∼ 1MeV) which are then slowed down to thermal neutrons (with energy of order E ∼ 0.025eV, comparable to their thermal energy at room temperature). In research reactors, both types of neutrons could be selected to exit through a port and used in scattering experiments to study crystals. Crystal lattice spacing is usually a few angstrom and to get information about the crystal in a scattering experiment the radiation wavelength should...
1. In an experiment designed to measure the charge-to-mass ratio of the electron, electrons are accelerated...
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...
What are the main advantages of nuclear fission relative to nuclear fusion as an energy source?...
What are the main advantages of nuclear fission relative to nuclear fusion as an energy source? What are the drawbacks? A.Drawbacks of fission include disposal of radioactive waste and issues of safety. B. Nuclear fission have no risk to the environment, that is the reason why it is wide spread. C. Nuclear fission does not require high temperatures or holding materials long enough for nuclei to react. D. Nuclear fission does require high temperatures or holding materials long enough for...
The nuclear potential energy that binds protons and neutrons in a nucleus is often approximated by...
The nuclear potential energy that binds protons and neutrons in a nucleus is often approximated by a square well. Imagine a proton confined in an infinitely high square well of length 10.3 fm, a typical nuclear diameter. Assuming the proton makes a transition from the n = 3 state to the ground state, calculate the following. (a) the energy of the emitted photon (b) the wavelength of the emitted photon (c) Identify the region of the electromagnetic spectrum to which...
Electromagnetic radiation with 0.8 MeV of energy is scattered from stationary electrons. The scatterd photons have...
Electromagnetic radiation with 0.8 MeV of energy is scattered from stationary electrons. The scatterd photons have wavelength equal to Compton wavelength. Through what angle were the photons scattered?
a) Electrons with an energy of 0.842 eV are incident on a double slit in which...
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...
In electron spin resonance (ESR) and nuclear magnetic resonance (NMR), the energy levels of electrons or...
In electron spin resonance (ESR) and nuclear magnetic resonance (NMR), the energy levels of electrons or protons, respectively, are split with a magnetic field (otherwise known as the Zeeman effect). Electrons or protons with spin in the same direction as the magnetic field have lower energies than electrons or protons with spins aligned opposite to the field. The energy difference between these levels depends on the strength of the field, so ESR and NMR can be used to measure, very...
Answer the following questions about quantum mechanics of atoms a. Estimate the wavelength for an n...
Answer the following questions about quantum mechanics of atoms a. Estimate the wavelength for an n = 2 to n =1 transition in zirconium b. A mixture of iron and an unknown material are bombarded with high energy electrons. Two different wavelengths of X-rays are emitted. X-rays with a wavelength of 194 pm come from iron. From what element do X-rays with a wavelength of 229 pm come from? c. A 14 g bullet leaves a rifle with a speed...