Download Class Problem 21 (1) The nuclear magneton is obtained from the

Class Problem 21
(1) The nuclear magneton is obtained from the Bohr magneton by
replacing the mass of electron by the mass of proton. Calculate it in the
unit J/T. Calculate the magnetic moment of proton, which is 2.79 times
the nuclear magneton.
(2) In an MRImachine, the magnetic moment of a proton is made antiparallel to a 3.0T magnetic field by a radiowave.
1.
Calculate the change in energy LlE of the proton when the
magnetic moment relaxes to become parallel to the magnetic
field
2.
Calculate the frequency of the electromagnetic radiation given off
according to the relation
hf= L1E
where the Planck constant h=6.63 xl0-34 J.s
(3) Find the saturation magnetization of a specimen of titanium. (magnetic
moment=0.38 Bohr magneton, density=4.6g/cc, atomic mass=48u)
Find also the magnetic field at saturation.
(4) When a substance is placed in the
interior of a current carrying solenoid,
the magnetic field inside the substance
is 0.2% lower than the field outside. Is
it paramagnetic or diamagnetic? What
is the magnetic susceptibility of the
substance?
(5) Find the magnetic susceptibility of titanium at 20°Cassuming Curie's
law is satisfied
(6) If a specimen oftitanium at 20°Cis placed at the center of a 500-turn
solenoid of length 10cm, carrying a current of 2.5A,what is
1.
the applied magnetic field
2.
the magnetization of the specimen
3.
the fraction of the atomic magnetic moments that are aligned
with the magnetic field
4.
the magnetic field inside the specimen
(7) If a magnet can be attached to a refrigerator door, we can conclude
that the material of the door is
1.
paramagnetic
2.
ferromagnetic
3.
diamagnetic
4.
superconducting
(8) When a soft iron core is introduced into the solenoid of t&!~s
problem, the magnetic field inside is 2.4T. What is the relative
permeability?
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