# [Free] IIT JAM Physics Test Series 2023 : Solid State Physics – (Thermal Properties)

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Now In this Post of IIT JAM Physics Test Series, you will get a test of the topic Thermal Properties of Chapter Solid State Physics. There are total 15 Questions given below also Answers are attached at the end of the test so that you can verify your answers after completing the test. So, Practice these Questions and Do your Best. Also Solve IIT JAM Physics Previous Year Question Paper. And Don’t Forget to Share with Your Friends.

## [Free] IIT JAM Physics Test Series 2023 : Solid State Physics – (Thermal Properties)

Q1. In two dimensions two metals A and B, have the number density of free electrons in the ratio n:m = 1:2. The ratio of their Fermi energies is

• (A) 2:3
• (B) 1:2
• (C) 1:8
• (D) 1:4

Q2. Fermi energy of a certain metal M is 5 eV. A second metal M’ has an electron density which is 6% higher than that of M. Assuming that the free electron theory is valid for both the metals, the Fermi energy of M’ is closest to

• (A) 5.6 eV
• (B) 4.8 eV
• (C) 5.2 eV
• (D) 4.4 eV

Q3. The Dulong-Petit law fails near room temperature (300 K) for many light clements (such as boron and beryllium) because their Debye temperature is

• (A) >> 300 K
• (B) ~ 300 K
• (C) << 300 K
• (D) 0 K

Q4. What is the contribution of the condition electrons in the molar entropy of a metal with electronic coefficient of specific heat ?

• (A) γT
• (B) γT
• (C) γT
• (D) γT4

Q5. According to Dulong-Petit’s law, the specific heat of a solid

• (A) is proportional to the temperature
• (B) depends on square of temperature
• (C) does not depend on temperature
• (D) is inversely proportional to temperature

Q6. The Debye temperature of a metal is 450 K. Its Debye frequency in Hz is of the order of

• (A) 1011
• (B) 1016
• (C) 1013
• (D) 1026

Q7. Debye temperatures of copper and gold are 340K and 170K, respectively. At room temperature, if the specific heat for copper is 1.5 kJmol^-1K^-1, the specific heat for gold is about:

• (A) 1.2 kJmol-1K-1
• (B) 0.19 kJmol-1K-1
• (C) 1.9 kJmol-1K-1
• (D) 12 kJmol-1K-1

Q8. The Fermi energy ε in metals depends on the number density n of mobile electrons, which may be thought of as a free Fermi gas. If n of one metal is larger by a factor of 1000 compared to another, then in comparison, its Fermi energy is

• (A) 1000 times larger
• (B) smaller by a factor of 1/100
• (C) 100 times larger
• (D) 10 times larger

Q9. Flow of electron is affected by which of the following:

• (A) thermal vibration
• (B) only impurity atom
• (C) only crystal defects
• (D) only all of (a), (b) & (c)

Q10. Fermi energy level for intrinsic semiconductors lies:

• (A) at the middle of the band gap
• (B) close to the conduction band
• (C) close to valence band
• inside valence band

Q11. The Fermi energy of silver is 5.51 electron volt. The average energy of the free electrons in silver at 0 °K is given by

• (A) 0.864 eV
• (B) 0.864 eV
• (C) 4.205 eV
• (D) 3.306 eV

Q12. Which of the following statements concerning the electrical conductivities at room temperature of apure copper sample and a pure silicon sample is NOT true ?

• (A) If the temperature of the copper sample is increased, its conductivity will decrease
• (B) If the temperature of the silicon sample is increased, its conductivity will increase
• (C) The addition of an impurity in the copper sample always decreases its conductivity
• (D) The addition of an impurity in the silicon always decreases its conductivity

Q13. In the Kronig-Penney model, electrons are assumed to be moving in

• (A) one-dimensional square well potential
• (B) one-dimensional square well periodic potential
• (C) a periodic harmonic potential
• (D) three-dimensional coulomb potential

Q14. The general expression for the Fermi energy of a metal at 0°K (if n is the number of free electrons/m3) is

• (A) 3.65 x 10-19 n2/3 eV
• (B) 3.65 x 1019 n2 eV
• (C) 3.65 x 1019 n1/3 eV
• (D) 3.65 x 1019 n3/2 eV

Q15. Fermi level represents the energy level with probability of its occupation of

• (A) 0%
• (B) 25%
• (C) 50%
• (D) 100%

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