Answered: What is the work done by the field of a…

What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter6: Photons And Matter Waves

Section: Chapter Questions

Problem 161AP: Consider a hydrogen-like ion where an electron is orbiting a nucleus that has charge q=+Ze. Derive...

See similar textbooks

Related questions

Q: Singly-ionized helium (He+) is a hydrogen-like atom. Determine the energy in eV required to raise a…

A: Energy of the nth level of a singly-ionized Helium ion is En=-13.6×Z2n2 eV ...........(1) Here,…

Q: The "size" of the atom in Rutherford's model is about 1.0 ✕ 10−10 m. (a) Determine the attractive…

Q: Find the most portable value of r characterizing the distance between an electron in 2px and the…

Q: The oxygen nucleus 16O has a radius of 3.0 fm.a. With what speed must a proton be fired toward an…

A: The radius of the oxygen nucleus, r=3 fm The atomic number of oxygen is 8. Charge on a proton,…

Q: A 1 MeV photon collides with a stationary electron in the vicinity of a heavy nucleus and is…

A: Let E0 be the rest energy of the electron, E be the kinetic energy of the electron after the…

Q: A strip of gold with a work function of 5.1eV is illuminated by a 1.57 μm green light. Calculate the…

A: The given values are, ω0=5.1 eVλ=1.57 μm=1.57×10-6 m

Q: Please help me with the last part. Thank you.

A: Given; Energy of incident photon Ep = 2.60 eV n = 3 we are required to find speed of electron…

Q: * Calculate the electron velocity in the second orbit of the hydrogen atom? * An electron placed in…

A: Potential=10v

Q: An electron is orbiting around a nucleus in a hydrogen atom in Bohr 's model with kinetic energy of…

A: Kinetic energy of an electron in Hydrogen atom: KE = 8.64 x 10-20 J

Q: If an electron makes a transition from the n = 4 Bohr orbit to the n = 2 orbit, determine the…

A: Given:Initial state of an electron (ni) = 4Final state of an electron (nf) = 2

Q: An electron revolves around the nucleus of an atom in a circular orbit of radius 4.0Å with a speed…

Q: Use Coulomb’s law to calculate the ionization energy in kJ/mol of an atom composed of a proton and…

Q: An alpha particle (a : = two protons, two neutrons) moves into a stationary gold atom (Au = 79…

A: Mass of alpha particle (m) = 4 u charge on alpha particle (q) = 2 e charge on gold atom (Q) = 79…

Q: Show that the speed of the electron in the nth Bohr orbit in hydrogen is given by

A: Step 1According to Bohr, there occurs the quantization of angular momentum or it can be stated as,…

Q: An 8.3 MeV alpha particle is shot directly toward the nucleus of a gold atom (atomic number 79).…

A: At the distance of closest approach, all the initial kinetic energy of the alpha particle will be…

Q: In positron-emission tomography (PET) used in medical research and diagnosis, compounds containing…

A: Here is given that the binding energy of positronium is very small compare to the rest mass of…

Q: What if Rutherford had not known about Thomson’s work?

A: Thomson's idea after his experiments was that there positive charges surrounding the negatively…

Q: Singly ionized helium (He+) is a hydrogen - like atom. Determine the energy in eV required to raise…

A: The expression for the required energy is,

Q: A primitive model for an atom consists of a point nucleus (+q) surrounded by a uniformly charged…

A: Consider a sphere of radius a and at the center we have a point charge +q and also we have a charges…

Q: In an alpha particle (42He) scattering experiment, using a thin gold (19779Au) foil, the initial…

Q: A hydrogen atom (with the Bohr radius of half an angstrom) is situated between two metal plates 1 mm…

A: When an atom is introduced into an electric field, electric field starts to distort atoms charge…

Q: : Using the principle of precision, prove the impossibility of an electron inside the nucleus,

Q: An electron is accelerated across a 500 eV potential. Find the minimum wavelength X-Ray that could…

Q: Why is the classical (Rutherford) model for an atom—of electron orbitting around the nucleus—not…

A: According to the Rutherford model (classical method), the electron revolves around the nucleus are…

Q: Using the Bohr's model of the hydrogen atom, relate the kinetic energy of the electron on the atomic…

Q: The Bohr radius is a physical constant, approximately equal to the most probable distance between…

Q: The “size” of the atom in Rutherford’s model is about 1.0 × 10−10 m. (a) Determine the attractive…

A: (a) The electrostatic force between an electron and a proton can be determined as,

Q: 12.11. An electron in a circular orbit has an angular momentum of /2 h. In a field of 0.5T, what is…

A: In problem 12.10, the information regarding problem 12.9 is not provided. So, I am solving the…

Q: Consider a beam of electrons (each electron with energy E.) incident on a metal surface kept in an…

A: When beam of Electron is incident on metal surface kept in evacuated chamber ( each Electron with…

Q: How much work is done by a gold nucleus placed inside a uniform electric field with a potential…

A: Given information: The potential at which the gold nucleus is place (V) = 220 V Assumption: Let us…

Q: In a helium atom, which contains two electrons, do youthink that on average the electrons are closer…

A: Electrons of helium atom are closer to nucleus than the electron in hydrogen atom. The electron of…

Q: The gravitational attraction between electron and proton in a hydrogen atom is weaker than the…

A: Equate gravitational attraction between the proton and electron to the Coulombic attraction between…

Q: How far is the electron

Q: A 57Fe nucleus at rest emits a 14.0-keV photon. Use conservation of energy and momentum to find the…

Q: A projectile alpha particle is headed directly toward a target aluminum nucleus. Both objects are…

A: The expression for the kinetic energy of the alpha particle is equal to the potential energy between…

Q: Ernest Rutherford is famous for, among other things, shooting alpha particles at unsuspecting gold…

A: Here, kinetic energy and potential energy is same. The expression for the energy is,

Q: How far does the electron of a hydrogen atom have to be removed from the nucleus for the force of…

Q: A particular Bohr orbit in a hydrogen atom has a total energy of-0.85 eV. What are (a) the kinetic…

Q: Which of the following would be closer to the nucleus? a. The ground state (n = 1) of an electron…

A: The size of the atom increases with increase in the number of electron shells.

Q: How many protons, neutrons, and electrons are in the atom given as: :-1 30si - 14 Protons = Neutrons…

Concept explainers

de Broglie Equation

The sketch of matter waves is drawn below:

Question

What is the work done by the field of a nucleus in a complete circular orbit of the electron? What if the orbit is elliptical?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

How do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun?
The force on an electron is “negative the gradient of the potential energy function.” Use this knowledge and Equation 8.1 to show that the force on the electron in a hydrogen atom is given by Coulomb’s force law. Ur=ke2r(8.1)
Integrated Concepts In a Millikan oil-drop experiment using a setup like that in Figure 30.9, a 500-V potential difference is applied to plates separated by 2.50 cm. (a) What is the mass of an oil drop having two extra electrons that is suspended motionless by the field between the plates? (b) What is the diameter of the drop, assuming it is a sphere with the density of olive oil?
Construct Your Own Problem The solar corona is so hot that most atoms in it are ionized. Consider a hydrogen-like atom in the corona that has only a single electron. Construct a problem in which you calculate selected spectral energies and wavelengths of the Lyman, Balmer, or other series of this atom that could be used to identify its presence in a very hot gas. You will need to choose the atomic number of the atom, identify the element, and choose which spectral lines to consider.
List all the possible values of s and msfor an electron. Are there particles for which these values are different?
Suppose the velocity of an electron in an atom is known to an accuracy of 2.0103 m/s (reasonably accurate compared with orbital velocities). What is the electron's minimum uncertainty in position, and how does this compare with the approximate 0.1-nm size of the atom?
When a nucleus (decays, does the (particle move continuously from inside the nucleus to outside? That is, does it travel each point along an imaginary line from inside to out? Explain.
Look up the values of the quantities in aB=h242mekqe2, and verify that the Bohr radius aB is 0.5291010 m.
Verify that the ground state energy E0 is 13.6 eV by using E0=22qe4mek2h2.
Check Your Understanding What are the limits of the Lyman series? Can you see these spectral lines?
What is the maximum velocity of electrons ejected from a material by 80-nm photons, if they are bound to the material by 4.73 eV?
If someone wanted to build a scale model of the atom with a nucleus 1.00 m in diameter, how far away would the nearest electron need to be?