Boltzmann’s Constant -Multiple Choice Questions Quiz

Interactive MCQs on “Boltzmann’s Constant”:

Solve the following 10 questions. Only one option is correct. Click on the “Submit” button when done. Click on the “embed” button to use this quiz on your website. Click on “WhatsApp” to share this quiz.

Question 1: What is Boltzmann's constant denoted by?

(a) R
(b) k
(c) K
(d) B

Question 2: What is the value of Boltzmann's constant (k) in SI units approximately?

(a) 6.63 x 10^-34 J⋅s
(b) 1.38 x 10^-23 J⋅K^-1
(c) 9.81 m/s^2
(d) 299,792,458 m/s

Question 3: What does Boltzmann's constant represent in statistical mechanics?

(a) The speed of light in a vacuum
(b) The universal gas constant
(c) The ratio of the ideal gas constant to Avogadro's number
(d) The relationship between temperature and thermal energy of particles

Question 4: What is the significance of Boltzmann's constant in the Maxwell-Boltzmann distribution?

(a) It defines the proportionality constant between pressure and volume of an ideal gas.
(b) It determines the speed of sound in a gas medium.
(c) It describes the distribution of molecular speeds in a gas at a given temperature.
(d) It quantifies the amount of heat required to raise the temperature of a gas by one Kelvin.

Question 5: What is Boltzmann's constant used for in the study of semiconductors?

(a) To determine the electrical conductivity of the semiconductor
(b) To calculate the band gap of the semiconductor
(c) To study the magnetic properties of the semiconductor material
(d) To estimate the resistance of the semiconductor

Question 6: Which scientist is credited with the discovery of Boltzmann's constant?

(a) James Clerk Maxwell
(b) Albert Einstein
(c) Ludwig Boltzmann
(d) Max Planck

Question 7: What are the dimensions of Boltzmann's constant in SI units?

(a) kg⋅m^2⋅s^-2⋅K^-1
(b) kg⋅m^2⋅s^-2
(c) J⋅K^-1
(d) J⋅K^-1⋅mol^-1

Question 8: How is Boltzmann's constant related to the ideal gas constant (R) and Avogadro's number (N_A)?

(a) k = R/N_A
(b) k = R×N_A
(c) k = R - N_A
(d) k = R^2 × N_A

Question 9: Which of the following expressions defines the relationship between Boltzmann's constant (k) and the gas constant (R)?

(a) k = R×T
(b) R = k×T
(c) k = R/T
(d) R = k/T

Question 10: What is the significance of Boltzmann's constant in the context of entropy (S) and the number of microstates (Ω) in statistical mechanics?

(a) k is equal to the number of microstates (Ω) of a system.
(b) S = k/Ω represents the fundamental equation of entropy.
(c) k is a proportionality constant that relates entropy and the number of microstates.
(d) k determines the maximum number of microstates a system can have.