An external electron in a hydrogen like atom is moving around the nucleus in a circular orbit of radius R. A weak magnetic field perpendicular to the orbit is slowly turned on and increases to a magnitude B. assuming that the radius of the orbit does not change, find:

a. the magnitude and direction(with respect to B) of magnetic moment induced by the field.

b. the additional kinetic energy acquired by the electron in this process

An external electron in a hydrogen like atom is moving around the nucleus in a circular orbit of radius R. A weak magnetic field perpendicular to the orbit is slowly turned on and increases to a magnitude B. assuming that the radius of the orbit does not change, find:
a. the magnitude and direction(with respect to B) of magnetic moment induced by the field.
b. the additional kinetic energy acquired by the electron in this process
c. what is the source of this energy??

Answer:

According to Bohr atom model the angular moment of the electron is given by

L = mvR =mR2 = nh/2

Where v is the speed and h is the Plank's constant. Here the electron ...

Solution Summary

The solution is dealing with change in magnetic moment and the energy when subjected to an external magnetic field. Electrons in orbits of a hydrogen like atom is determined.

... According to Bohr's atomic model, the electron can occupy only those orbits in which its ... For the first orbit, n = 1. Hence, mvr = h/2Π or v = h/2Πmr. ...

... Once you have the Bohr orbits (in metres). ... background: Using Bohr theory [1] the Bohr orbit (for quantum ... constant), me = 9.11 × 10 −31 Kg (Electron mass), k ...

... b) For the muonic orbit of (a ... M Where Me is the mass of the electron and n=1. 207. ... between this and hydrogen atom is the mass of the orbiting particle, so ...

... of the Hydrogen atom, we assume that the electron makes a circular orbit about a ... radius 0.529 angstroms to compute the current due to an orbiting electron. ...

... An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound only by ...

... neutrons, and electrons. Parallel Exercises An electron with a mass of 9.11x10-31 kg has a velocity of 4.3 106 in the innermost orbit of a hydrogen atom. ...

... of an electron in a circular orbit in a hydrogen... that the circumference of the circular orbit be equal ... (d) Solve for the radii of permitted orbits and calculate ...

How much energy will an electron in orbit about a hydrogen atom lose in a transition from orbit # 2 to orbit # 4, where orbits are counted from the closest ...

... step-by-step process for computing the radius of a hydrogen orbit of various Bohr orbits. ... to calculate the radius rn of a hydrogen atom whose electron is in ...