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
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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.
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