Partition Functions MCQs with Answers

AdminApril 12, 2024

0 12 1 minute read

Welcome to the Partition Functions MCQs with Answers. In this post, we have shared Partition Functions Online Test for different competitive exams. Find practice Partition Functions Practice Questions with answers in Physics Tests exams here. Each question offers a chance to enhance your knowledge regarding Partition Functions.

Partition Functions Online Quiz

By presenting 3 options to choose from, Partition Functions Quiz which cover a wide range of topics and levels of difficulty, making them adaptable to various learning objectives and preferences. You will have to read all the given answers of Partition Functions Questions and Answers and click over the correct answer.

Test Name: Partition Functions MCQ Quiz Practice
Type: Quiz Test
Total Questions: 40
Total Marks: 40
Time: 40 minutes

Note: Answer of the questions will change randomly each time you start the test. Practice each quiz test at least 3 times if you want to secure High Marks. Once you are finished, click the View Results button. If any answer looks wrong to you in Quizzes. simply click on question and comment below that question. so that we can update the answer in the quiz section.

Partition Functions

Please fill out the form before starting Quiz.

1 / 40

What is the partition function for an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta when 𝑞≪𝑁q≪N?

B) 𝑍=𝑞𝑁Z=qN

C) 𝑍=(𝑞+𝑁−1)!𝑞!(𝑁−1)!Z=q!(N−1)!(q+N−1)!

A) 𝑍=𝑁𝑞𝑞!Z=q!Nq

2 / 40

The partition function for a system with distinguishable particles is calculated how?

C) By considering the indistinguishability of the particles

B) By summing over all possible microstates

A) By considering the quantum nature of the particles

3 / 40

Which of the following is a consequence of the Boltzmann distribution?

A) It predicts the probability of finding a system in a particular microstate

C) It predicts the entropy of a system

B) It predicts the total energy of a system

4 / 40

The partition function for a monatomic ideal gas at low temperatures approaches what value?

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

C) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

B) 𝑍=𝑉𝑁𝜆Z=NλV

5 / 40

What is the partition function for a monatomic ideal gas in a three-dimensional box?

C) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

B) 𝑍=𝑉𝑁𝜆Z=NλV

6 / 40

What is the partition function for a monatomic ideal gas in a two-dimensional box?

C) 𝑍=𝐴𝑁𝜆3Z=Nλ3A

B) 𝑍=𝐴𝑁𝜆2Z=Nλ2A

A) 𝑍=𝐴𝑁𝜆Z=NλA

7 / 40

The partition function for an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta can also be written as

C) 𝑍=𝑞𝑁Z=qN

A) 𝑍=(𝑞+𝑁−1)!𝑞!(𝑁−1)!Z=q!(N−1)!(q+N−1)!

B) 𝑍=𝑞𝑁𝑁!Z=N!qN

8 / 40

Which of the following is true regarding the partition function of an ideal gas?

A) It is independent of temperature

C) It is proportional to the volume

B) It depends only on the number of particles

9 / 40

The partition function for a monatomic ideal gas at high temperatures approaches what value?

C) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

B) 𝑍=𝑉𝑁𝜆Z=NλV

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

10 / 40

The partition function for a system of 𝑁N distinguishable particles at fixed temperature is given by

A) 𝑍=∑𝑖𝑒−𝛽𝐸𝑖Z=∑ie−βEi

B) 𝑍=1𝑁!∑𝑖𝑒−𝛽𝐸𝑖Z=N!1∑ie−βEi

C) 𝑍=1𝑁∑𝑖𝑒−𝛽𝐸𝑖Z=N1∑ie−βEi

11 / 40

What is the partition function for a monoatomic ideal gas in a three-dimensional box?

B) 𝑍=𝑉𝑁𝜆Z=NλV

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

C) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

12 / 40

Which of the following is true about the partition function of an ideal gas?

A) It decreases with increasing temperature

B) It increases with increasing volume

C) It depends on the mass of the gas particles

13 / 40

The partition function of an ideal gas at constant temperature and volume is proportional to

C) The number of particles

B) The volume

A) The temperature

14 / 40

The partition function for an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta when 𝑞=𝑁q=N?

B) 𝑍=𝑞𝑁Z=qN

A) 𝑍=𝑁𝑞𝑞!Z=q!Nq

C) 𝑍=(𝑞+𝑁−1)!𝑞!(𝑁−1)!Z=q!(N−1)!(q+N−1)!

15 / 40

Which of the following is a correct expression for the canonical partition function of a system in statistical mechanics?

C) 𝑍=∑𝑖𝑒−𝛽𝐸𝑖Z=∑ie−βEi

B) 𝑍=1𝑁∑𝑖𝑒−𝛽𝐸𝑖Z=N1∑ie−βEi

A) 𝑍=1𝑁!∑𝑖𝑒−𝛽𝐸𝑖Z=N!1∑ie−βEi

16 / 40

The partition function for a monatomic ideal gas is NOT affected by

B) The temperature of the system

C) The volume of the container

A) The mass of the gas particles

17 / 40

The partition function for a system with indistinguishable particles is calculated by

B) Summing over all possible microstates

C) Using the Stirling approximation

A) Considering the quantum nature of particles

18 / 40

The partition function for a system of distinguishable particles is given by

B) 𝑍=1𝑁∑𝑖𝑒−𝛽𝐸𝑖Z=N1∑ie−βEi

A) 𝑍=1𝑁!∑𝑖𝑒−𝛽𝐸𝑖Z=N!1∑ie−βEi

C) 𝑍=∑𝑖𝑒−𝛽𝐸𝑖Z=∑ie−βEi

19 / 40

The canonical partition function for an ideal gas at constant temperature and volume is

B) 𝑍=1𝑁∑𝑖𝑒−𝛽𝐸𝑖Z=N1∑ie−βEi

A) 𝑍=1𝑁!∑𝑖𝑒−𝛽𝐸𝑖Z=N!1∑ie−βEi

C) 𝑍=∑𝑖𝑒−𝛽𝐸𝑖Z=∑ie−βEi

20 / 40

What is the partition function for a monoatomic ideal gas in a two-dimensional box?

B) 𝑍=𝐴𝑁𝜆2Z=Nλ2A

A) 𝑍=𝐴𝑁𝜆Z=NλA

C) 𝑍=𝐴𝑁𝜆3Z=Nλ3A

21 / 40

Which of the following statements about the partition function is correct?

B) It depends only on temperature

A) It accounts for the quantization of energy levels

C) It is independent of the number of particles

22 / 40

What is the partition function for an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta?

A) 𝑍=𝑞𝑁𝑁!Z=N!qN

B) 𝑍=𝑞𝑁Z=qN

C) 𝑍=𝑁𝑞Z=Nq

23 / 40

What is the partition function for an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta when 𝑞≫𝑁q≫N?

A) 𝑍=𝑁𝑞𝑞!Z=q!Nq

C) 𝑍=(𝑞+𝑁−1)!𝑞!(𝑁−1)!Z=q!(N−1)!(q+N−1)!

B) 𝑍=𝑞𝑁Z=qN

24 / 40

The partition function for an ideal gas is dependent on which of the following?

A) Temperature and volume

C) Volume and pressure

B) Pressure and temperature

25 / 40

What is the partition function for a diatomic molecule at low temperatures?

B) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

C) 𝑍=𝑉𝑁Z=NV

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

26 / 40

What is the partition function for a monoatomic ideal gas in a one-dimensional box?

A) 𝑍=𝐿𝑁𝜆Z=NλL

C) 𝑍=𝐿𝑁𝜆2Z=Nλ2L

B) 𝑍=𝐿𝑁𝜆3Z=Nλ3L

27 / 40

What is the partition function for a monatomic ideal gas at high temperatures?

C) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

B) 𝑍=𝑉𝑁𝜆Z=NλV

28 / 40

Which of the following is NOT a property of the partition function?

C) It depends on the system's quantum states

A) It gives information about the energy distribution

B) It is a function of temperature only

29 / 40

At what temperature does the partition function of an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta reach its maximum value?

B) At 𝑇=0T=0

A) At all temperatures

C) At 𝑇=∞T=∞

30 / 40

What is the partition function for a diatomic molecule at high temperatures?

B) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

C) 𝑍=𝑉𝑁Z=NV

31 / 40

The partition function for an Einstein solid with 𝑁N oscillators and 𝑞q energy quanta is maximum when

A) 𝑞=0q=0

B) 𝑞=𝑁q=N

C) 𝑞=𝑁2q=2N

32 / 40

The partition function of an ideal gas at constant temperature and volume is proportional to

A) The temperature

B) The volume

C) The number of particles

33 / 40

Which of the following is a property of the canonical partition function?

C) It depends on the number of particles

A) It is independent of temperature

B) It is a function of temperature only

34 / 40

At low temperatures, the partition function for a diatomic molecule approaches what value?

B) 𝑍=1Z=1

C) 𝑍=0Z=0

A) 𝑍=𝑉𝑁Z=NV

35 / 40

What is the partition function for a monatomic ideal gas?

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

B) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

C) 𝑍=𝑉𝑁𝜆Z=NλV

36 / 40

The partition function for a system of distinguishable particles is calculated by

A) Considering the indistinguishability of particles

B) Summing over all possible microstates

C) Multiplying the number of particles with Boltzmann constant

37 / 40

At high temperatures, the partition function for a diatomic molecule approaches what value?

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

C) 𝑍=𝑉𝑁Z=NV

B) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

38 / 40

What is the partition function for a diatomic molecule at high temperatures?

A) 𝑍=𝑉𝑁𝜆3Z=Nλ3V

C) 𝑍=𝑉𝑁Z=NV

B) 𝑍=𝑉𝑁𝜆2Z=Nλ2V

39 / 40

What is the partition function for an ideal gas in a one-dimensional box?

A) 𝑍=𝐿𝑁𝜆Z=NλL

B) 𝑍=𝐿𝑁𝜆3Z=Nλ3L

C) 𝑍=𝐿𝑁𝜆2Z=Nλ2L

40 / 40

Which of the following is a correct expression for the canonical partition function of a system in statistical mechanics?

C) 𝑍=1𝑁∑𝑖𝑒−𝛽𝐸𝑖Z=N1∑ie−βEi

B) 𝑍=1𝑁!∑𝑖𝑒−𝛽𝐸𝑖Z=N!1∑ie−βEi

A) 𝑍=∑𝑖𝑒−𝛽𝐸𝑖Z=∑ie−βEi

Download Certificate of Quiz Partition Functions

On the end of Quiz, you can download the certificate of the quiz if you got more than 70% marks. Add a certificate to your job application or social profile (like LinkedIn) and get more job offers.

Download Partition Functions MCQs with Answers Free PDF

You can also download 100 Partition Functions Questions with Answers free PDF from the link provided below. To Download file in PDF click on the arrow sign at the top right corner.

If you are interested to enhance your knowledge regarding English, Chemistry, Computer, and Biology please click on the link of each category, you will be redirected to dedicated website for each category.

AdminApril 12, 2024

0 12 1 minute read

Partition Functions MCQs with Answers

Partition Functions Online Quiz

Download Certificate of Quiz Partition Functions

Download Partition Functions MCQs with Answers Free PDF

Admin

Leave a Reply Cancel reply

Quantum Entanglement Quiz with answers

Dispersion MCQs with Answers

Reflection and Refraction MCQs with Answers

Wave Interactions MCQs with Answers

Wave Diffraction MCQs with Answers

Interference and Diffraction MCQs with Answers

Partition Functions Online Quiz

Download Certificate of Quiz Partition Functions

Download Partition Functions MCQs with Answers Free PDF

Admin

Related Articles

Entropy MCQs with Answers

Thermodynamic Ensembles MCQs with Answers

Quantum Statistics MCQs with Answers

Boltzmann Distribution MCQs with Answers

Leave a Reply Cancel reply

Quantum Entanglement Quiz with answers

Dispersion MCQs with Answers

Reflection and Refraction MCQs with Answers

Wave Interactions MCQs with Answers

Wave Diffraction MCQs with Answers

Interference and Diffraction MCQs with Answers