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This mock test of Statistical Physics MCQ Level – 2 for Physics helps you for every Physics entrance exam.
This contains 10 Multiple Choice Questions for Physics Statistical Physics MCQ Level – 2 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

If Z be the partition function and then the average energy of the system is given by.

Select one:

Solution:

Average energy of a system is defined as

The correct answer is:

QUESTION: 2

For a Fermi gas of N particles in three dimension at T = 0K, the Fermi energy E_{f} is proportional to

Select one:

Solution:

The Fermi energy is given by

The correct answer is: N^{2/3}

QUESTION: 3

Gibb’s paradox arises due to.

Select one:

Solution:

In a semi-classical derivation of entropy that does not take into account the indistinguishability of particles, yields an expression for the entropy which is not extensive. This is called Gibb’s Paradox.

The correct answer is: Distinguishability of classical particles

QUESTION: 4

Which of the following relations between the particle number density n and temperature T must hold good for a gas consisting of non-interacting particles to be described by quantum statistics?

Select one:

Solution:

The particle density and temperature T are related as

The correct answer is:

QUESTION: 5

When an ideal quantum gas can be treated as an ideal classical gas?

Select one:

Solution:

Let us take where V is volume and N is number of particles.

Now, for

i.e. when interparticle is much larger than the thermal de-Broglie wavelength, the gas will obey Maxwell Boltzmann Statistics.

The correct answer is: When de-Broglie wavelength is much smaller than the inter-particle distance

QUESTION: 6

What is the partition function of a monoatomic gas contained in value V, at temperature T and pressure p

Select one:

Solution:

Let

∴

∴

The correct answer is:

QUESTION: 7

Consider a one level system having energy where V_{0} is a constant and symbols have usual meanings, the partition function for the system is.

Select one:

Solution:

Partition function

⇒

The correct answer is:

QUESTION: 8

The partition function of a single gas molecule is Z_{α}. The partition function of N such non-interacting gas molecules is then given by

Select one:

Solution:

Partition function of single gas molecule = Z_{α}

Since N particles are non-interacting, the partition function =

The correct answer is:

QUESTION: 9

The classical partition function Z gives the

Select one:

Solution:

Classical partition function Z gives nothing but sum of all the possible states. In discrete systems, it gives basically the sum over all the microstates and in continuous systems it is represented in terms of integrating.

The correct answer is: Sum of states of the system

QUESTION: 10

For a single particle of mass m enclosed in a volume V. the number of accessible microstate in energy range E to is given by the (the phase space is divided by the rule

Select one:

Solution:

The phase space volume is

where

and is limited by

Hence

∴ Volume of phase space

Number of phase space =

The number of microstates in the energy range E to is

The correct answer is:

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