List of top Physics Questions on kinetic theory asked in Indian Institute Of Technology Joint Admission Test for MSc

A one-dimensional infinite square-well potential is given by:
\(v(x)=0\,\,for\,\,-\frac{a}{2}<x<+\frac{a}{2}\)= ∞ elsewhere
Let 𝐸_𝑒 (𝑥) and ψ_𝑒 (𝑥) be the ground state energy and the corresponding wave function, respectively, if an electron (e) is trapped in that well. Similarly, let 𝐸_µ(𝑥) and ψ_µ (𝑥) be the corresponding quantities, if a muon (µ) is trapped in the well. Choose the correct option:

A cylinder-piston system contains N atoms of an ideal gas. If 𝑡_𝑎𝑣𝑔 is the average time between successive collisions of a given atom with other atoms. If the temperature T of the gas is increased isobarically, then 𝑡_𝑎𝑣𝑔 is proportional to :

A gas consists of particles, each having three translational and three rotational degrees of freedom. The ratio of specific heats, Cp/Cv, is: (C_p and C_v are the specific heats at constant pressure and constant volume, respectively).

The Fermi energy of a system is 5.5eV. At 500K, the energy of a level for which the probability of occupancy is 0.2, is ________eV. (Rounded off to two decimal places) (Boltzmann constant 𝑘_𝐵 = 8.62x10⁻⁵ eV/K)

A stationary nitrogen (\(^{14}_7N\)) nucleus is bombarded with α- particle (\(^{4}_2He\)) and the following nuclear reaction takes place:

If the kinetic energies of \(^4_2\) and \(^4_2H\) are 5.314MeV and 4.012MeV, respectively, then the kinetic energy of \(^{17}_80\) is MeV. (Rounded off to one decimal place) 
(Masses are given in units of 𝑢 = 931.5MeV/c² )

When a system of multiple long narrow slits (width 2µm and period 4µm) is illuminated with a laser of wavelength 600nm. There are 40 minima between the two consecutive principal maxima observed in its diffraction pattern. Then maximum resolving power of the system is _______

Consider a system of large number of particles that can be in three energy states with energies 0 meV, 1 meV, and 2 meV. At temperature T = 300 K, the mean energy of the system (in meV) is closest to
Given: Boltzmann constant k_B = 0.086 meVK^-1

A system has N spins, where each spin is capable of existing in 4 possible states. The difference in entropy of disordered states (where all possible spin configurations are equally probable) and ordered states is

The figure shows a section of the phase boundary separating the vapour (1) and liquid (2) states of water in the P-T plane. Here, C is the critical point. μ₁. ν₁ and s₁ are the chemical potential, specific volume and specific entropy of the vapour phase respectively, while μ₂. ν₂ and s₂ respectively denote the same for the liquid phase. Then

A string of length L is stretched between two points x = 0 and x = L and the endpoints are rigidly clamped. Which of the following can represent the displacement of the string from the equilibrium position?

In a dilute gas, the number of molecules with free path length ≥ x is given by N(x) = N₀e^-x/λ, where N₀ is the total number of molecules and A is the mean free path. The fraction of molecules with free path lengths between λ and 2λ is