Question

If e is electronic charge, the equivalent current for an electron
revolving with a frequency n in the ground state of
hydrogen atom is
(a) 2πne (b) e/πn (c)e/2πn (d) en

Answer 1

12th

Physics

Moving Charges and Magnetism

Magnetic Dipoles

An electron in the ground s...

PHYSICS

An electron in the ground state of hydrogen atom in revolving in anticlockwise direction in a circular orbit of radius R (see fig)

If the expression for the orbital magnetic moment of the electron is M=

Xπm

eh

. Find X?

question

November 22, 2019

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Sarmistashilpa Aghav

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ANSWER

In ground state (n=1) according to Bohr's theory:

mvR=

2π

h

or v=

2πmR

h

Now time period, T=

v

2πR

=

h/2πmR

2πR

=

h

4π

2

mR

2

Magnetic moment, M=iA

Where, I=

time period

charge

=

h

4π

2

mR

2

e

=

4π

2

mR

2

eh

and A=πR

2

∴M=(πR

2

)(

4π

2

mR

2

eh

) or M=

4πm

eh

Direction of magnetic moment

M

is perpendicular to the plane of orbit.