# Electron in orbit of a hydrogen like atom.

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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??

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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.

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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 ...

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