Sample questions for training

This set of Engineering Physics Multiple Choice Questions & Answers (MCQs) focuses on “Fermi-
Dirac Distribution”.
1. Fermi-Dirac statistics is for the ________
a) Distinguishable particles
b) Symmetrical Particles
c) Particles with half integral spin
d) Particles with integral spin
View Answer
2. The difference between fermions and bosons is that bosons do not obey ______
a) Aufbau principle
b) Pauli’s Exclusion Principle
c) Hund’s Rule of Maximum Multiplicity
d) Heisenberg’s Uncertainty Principle
ell-Boltzmann law is given by the expression ni = ________
a) geα+βE
b) geα+βE−1
c) geα+βE+1
d) geα+βE+k

4. The wave function of fermions is not _________

a) Continuous
b) Single Valued
c) Symmetric
d) Differentiable
View Answer
5. Fermi-Dirac statistics cannot be applied to ________
a) Electrons
b) Photons
c) Fermions
d) Protons

6. The distribution function is given by ________

a) 1AeEnT+1
b) 1AeEnT−1
c) 1eEnT+A
d) 1eEnT−A

7. At T > 0K, the probability of a state with E > EF filled is zero.

a) True
b) False

8. The expression for mean energy is given by ________

a) 35NEF
b) 25NEF
c) 35EF
d) 25EF

9. For all the quantum states with energy greater than Fermi energy to be empty in a Fermi-Dirac
system, the temperature should be ______
a) 273 K
b) 373 K
c) 0 K
d) 100 K

10. What is the relationship between T1 and T2?

a) T1 > T2
b) T1 < T2
c) T1 = T2
d) Insufficient Information
View Answer

11. The density of silver is 10.5 g/cm3 and its atomic weight is 108. If each atom contributes one
electron for conduction, what is the fermi energy?
a) 2.12 eV
b) 3.31 eV
c) 4.69 eV
d) 5.51 eV
View Answer
12. The Fermi energy of a material is 3.45 eV. What is the zero-point energy of the material?
a) 1.02 eV
b) 2.07 eV
c) 3.45 eV
d) 4.16 eV
View Answer
13. The average energy of one electron silver is 3.306 eV. What is the fermi-energy of Silver at 0 K?
a) 2.32 eV
b) 3.78 eV
c) 4.12 eV
d) 5.51 eV
View Answer
14. In Fermi-Dirac Statistics, one energy state can be occupied by more than one particle.
a) True
b) False
View Answer
15. Which of the following is the curve for Fermi-Dirac statistics?

a) X
b) Y
c) Z
d) None
View Answer

This set of Engineering Physics Multiple Choice Questions & Answers (MCQs) focuses on “Bose-
Einstein Distribution”.
1. Bosons have symmetrical wave functions. They do not obey ______
a) Aufbau principle
b) Pauli’s Exclusion Principle
c) Hund’s Rule of Maximum Multiplicity
d) Heisenberg’s Uncertainty Principle
View Answer
2. Bose-Einstein statistics is for the ________
a) Distinguishable particles
b) Symmetrical Particles
c) Particles with half integral spin
d) Particles with integral spin
View Answer
3. The Bose-Einstein Statistics is given by the expression ni = _______
a) geα+βE
b) geα+βE−1
c) geα+βE+1
d) geα+βE+k
View Answer
4. The difference between fermions and bosons is that bosons’ wave function is _______
a) Continuous
b) Single Valued
c) Symmetric
d) Differentiable
View Answer
5. Bose-Einstein statistics can be applied to _______
a) Electrons
b) Photons
c) Fermions
d) Protons
View Answer
6. In Bose-Einstein Statistics, one energy state can be occupied by more than one particle.
a) True
b) False
View Answer
7. When bosons are cooled to a low enough temperature, their behavior changes.
a) True
b) False
View Answer
8. Helium shows Bose-Einstein condensation below what temperature?
a) 100.5 K
b) 12.3 K
c) 5.12 K
d) 2.13 K

9. During Bose-Einstein condensation all the atoms fall back to the _______
a) Ground state
b) First exited state
c) Highest Exited state
d) Insufficient information
10. Which of the following is the curve for Bose-Einstein statistics?

a) X
b) Y
c) Z
d) None
View Answer

This set of Engineering Physics Multiple Choice Questions & Answers (MCQs) focuses on
“Maxwell Boltzmann Statistics”.
1. Phase space is a ________
a) 3 Dimensional Space
b) 4 Dimensional Space
c) 5 Dimensional Space
d) 6 Dimensional Space

2. Maxwell-Boltzmann law is for the ________

a) Distinguishable particles
b) Indistinguishable Particles
c) Particles with half integral spin
d) Particles with integral spin

3. The Maxwell-Boltzmann law is given by the expression ________

a) 1e(EkT)
b) 1e(1+EkT)
c) 1e(α+EkT)
d) 1e(α+nEkT)

4. Maxwell-Boltzmann statistics cannot be applied to _____________

a) Atoms
b) Molecules
c) Photons
d) Lattice

5. The ratio of rms velocity to most probable velocity is ________

a) √3 : √2
b) √2 : √3
c) 3 : 2
d) 2 : 3
kinetic energy associated with each degree of freedom is ________
a) kT
b) 2kT
c) kT/2
d) kT/4

7. The density of molecules is maximum at which speed?

a) Vrms
b) Vp
c) Vmean
d) Vinst

8. What would be the most probable velocity for one Oxygen molecule at 300 K?
a) 612 m/s
b) 714 m/s
c) 798 m/s
d) 821 m/s

9. Mass of A is 4 times that of B. What is the ratio of their mean velocities?

a) 1 : 4
b) 4 : 1
c) 1 : 2
d) 2 : 1
10. From the figure, what is the highest temperature?

a) T1
b) T2
c) T3
d) Insufficient Information

11. The Kinetic Energy of the particle is dependent on Temperature only.

a) True
b) False

12. As the temperature is increased, molecules moving with lower speed increases.
a) True
b) False

13. What is the Kinetic Energy of 2 g of oxygen at -23℃?

a) 186.2 J
b) 194.86 J
c) 201.45 J
d) 256.32 J
14. What is the rms speed of methane at 27℃?
a) 450 m/s
b) 532 m/s
c) 678 m/s
d) 745 m/s

15. Which one of the following is the most probable speed?

a) A
b) B
c) C
d) D

8 questions
Preview
Show answers

• Question 1
 Q.
The Maxwell–Boltzmann distribution of molecular energies in a sample of gas at a fixed
temperature is shown.

Which letter represents the mean energy of the molecules?

answer choices
A
B
C
D
• Question 2
30 seconds

Q.
The diagram shows the Maxwell−Boltzmann distribution of molecular energies in a gas at
two different temperatures.

Which letter represents the most probable energy of the molecules at the higher
temperature?
answer choices

• A
B
C
D
• Question 3
30 seconds

Q.
 The question below is about the Maxwell–Boltzmann distribution shown for a sample of a
gas, X, at two different temperatures.

Which letter shows the mean energy of the molecules at the higher temperature?
answer choices
P
Q
R
S
• Question 4
30 seconds

Q.
The question below is about the Maxwell–Boltzmann distribution shown for a sample of a
gas, X, at two different temperatures.

Which statement is correct for the higher temperature?

answer choices
The area under the curve to the left of Ea decreases.
The total area under the curve increases.
The activation energy decreases.
More molecules have the mean energy.
• Question 5
30 seconds

Q.
This question is about the Maxwell–Boltzmann distribution of molecular energies in a
sample of a gas shown in the figure below.

Which letter best represents the mean energy of the molecules?

answer choices
A
B
 C
D
• Question 6
30 seconds

Q.
This question is about the Maxwell–Boltzmann distribution of molecular energies in a
sample of a gas shown in the figure below.

What does the area under the curve represent?

answer choices
The total energy of the particles.
The total number of particles.
The number of particles that can react with each other.
The total number of particles that have activation energy.
• Question 7
30 seconds

Q.
The graph below shows a typical energy distribution for particles of an ideal gas in a sealed
container at a fixed temperature.

Which of the following statements is true?

answer choices
Position A represents the mean energy of a molecule in the container.
Addition of a catalyst moves the position of EA to the right.

The area under the curve to the right of EA represents the number of molecules with enough
energy to react.
The position of the peak of the curve at a higher temperature is further away from both axes.
• Question 8
30 seconds
Q.
The total area under the distribution curve represents
answer choices
total energy.
activation energy.
total number of reacting molecules.
total number of molecules present.