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Key equations

Electrostatic energy for equilibrium separation distance between atoms U coul = k e 2 r 0
Energy change associated with ionic bonding U form = E transfer + U coul + U ex
Critical magnetic field of a superconductor B c ( T ) = B c ( 0 ) [ 1 ( T T c ) 2 ]
Rotational energy of a diatomic molecule E r = l ( l + 1 ) 2 2 I
Characteristic rotational energy of a molecule E 0 r = 2 2 I
Potential energy associated with the exclusion principle U ex = A r n
Dissociation energy of a solid U diss = α k e 2 r 0 ( 1 1 n )
Moment of inertia of a diatomic molecule with reduced mass μ I = μ r 0 2
Electron energy in a metal E = π 2 2 2 m L 2 ( n 1 2 + n 2 2 + n 3 2 )
Electron density of states of a metal g ( E ) = π V 2 ( 8 m e h 2 ) 3 / 2 E 1 / 2
Fermi energy E F = h 2 8 m e ( 3 N π V ) 2 / 3
Fermi temperature T F = E F k B
Hall effect V H = u B w
Current versus bias voltage across p-n junction I net = I 0 ( e e V b / k B T 1 )
Current gain I c = β I B
Selection rule for rotational energy transitions Δ l = ± 1
Selection rule for vibrational energy transitions Δ n = ± 1

Conceptual questions

Describe two main features of a superconductor.

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How does BCS theory explain superconductivity?

BSC theory explains superconductivity in terms of the interactions between electron pairs (Cooper pairs). One electron in a pair interacts with the lattice, which interacts with the second electron. The combine electron-lattice-electron interaction binds the electron pair together in a way that overcomes their mutual repulsion.

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What is the Meissner effect?

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What impact does an increasing magnetic field have on the critical temperature of a semiconductor?

As the magnitude of the magnetic field is increased, the critical temperature decreases.

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Problems

At what temperature, in terms of T C , is the critical field of a superconductor one-half its value at T = 0 K ?

T = 0.707 T c

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What is the critical magnetic field for lead at T = 2.8 K ?

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A Pb wire wound in a tight solenoid of diameter of 4.0 mm is cooled to a temperature of 5.0 K. The wire is connected in series with a 50 - Ω resistor and a variable source of emf. As the emf is increased, what value does it have when the superconductivity of the wire is destroyed?

61 kV

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A tightly wound solenoid at 4.0 K is 50 cm long and is constructed from Nb wire of radius 1.5 mm. What maximum current can the solenoid carry if the wire is to remain superconducting?

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Additional problems

Potassium fluoride (KF) is a molecule formed by an ionic bond. At equilibrium separation the atoms are r 0 = 0.255 nm apart. Determine the electrostatic potential energy of the atoms. The electron affinity of F is 3.40 eV and the ionization energy of K is 4.34 eV. Determine dissociation energy. (Neglect the energy of repulsion.)

U coul = −5.65 eV E form = −4.71 eV , E diss = 4.71 eV

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For the preceding problem, sketch the potential energy versus separation graph for the bonding of K + and Fl ions. (a) Label the graph with the energy required to transfer an electron from K to Fl. (b) Label the graph with the dissociation energy.

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The separation between hydrogen atoms in a H 2 molecule is about 0.075 nm. Determine the characteristic energy of rotation in eV.

E 0 r = 7.43 × 10 −3 eV

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The characteristic energy of the Cl 2 molecule is 2.95 × 10 −5 eV . Determine the separation distance between the nitrogen atoms.

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Questions & Answers

if three forces F1.f2 .f3 act at a point on a Cartesian plane in the daigram .....so if the question says write down the x and y components ..... I really don't understand
Syamthanda Reply
hey , can you please explain oxidation reaction & redox ?
Boitumelo Reply
hey , can you please explain oxidation reaction and redox ?
Boitumelo
for grade 12 or grade 11?
Sibulele
the value of V1 and V2
Tumelo Reply
advantages of electrons in a circuit
Rethabile Reply
we're do you find electromagnetism past papers
Ntombifuthi
what a normal force
Tholulwazi Reply
it is the force or component of the force that the surface exert on an object incontact with it and which acts perpendicular to the surface
Sihle
what is physics?
Petrus Reply
what is the half reaction of Potassium and chlorine
Anna Reply
how to calculate coefficient of static friction
Lisa Reply
how to calculate static friction
Lisa
How to calculate a current
Tumelo
how to calculate the magnitude of horizontal component of the applied force
Mogano
How to calculate force
Monambi
a structure of a thermocouple used to measure inner temperature
Anna Reply
a fixed gas of a mass is held at standard pressure temperature of 15 degrees Celsius .Calculate the temperature of the gas in Celsius if the pressure is changed to 2×10 to the power 4
Amahle Reply
How is energy being used in bonding?
Raymond Reply
what is acceleration
Syamthanda Reply
a rate of change in velocity of an object whith respect to time
Khuthadzo
how can we find the moment of torque of a circular object
Kidist
Acceleration is a rate of change in velocity.
Justice
t =r×f
Khuthadzo
how to calculate tension by substitution
Precious Reply
hi
Shongi
hi
Leago
use fnet method. how many obects are being calculated ?
Khuthadzo
khuthadzo hii
Hulisani
how to calculate acceleration and tension force
Lungile Reply
you use Fnet equals ma , newtoms second law formula
Masego
please help me with vectors in two dimensions
Mulaudzi Reply
how to calculate normal force
Mulaudzi
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Practice Key Terms 6

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Source:  OpenStax, University physics volume 3. OpenStax CNX. Nov 04, 2016 Download for free at http://cnx.org/content/col12067/1.4
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