Q. Consider two systems A and B each having two distinguishable particles. In both the systems, each particle can exist in states with energies 0, 1, 2 and 3 units with equal probability. The total energy of the combined system is 5 units. Assuming that the system A has energy 3 units and the system

Q. Consider a system of three charges as shown in the figure below: For 𝑟 = 10 m; 𝜃 = 60 degrees; 𝑞 = 10−6 Coulomb, and 𝑑 = 10−3 m, the electric dipole potential in volts (rounded off to three decimal places) at a point (𝑟, 𝜃) is Ans: 0.045 Sol:

Q. In a thermally insulated container, 0.01 kg of ice at 273 K is mixed with 0.1 kg of water at 300 K. Neglecting the specific heat of the container, the change in the entropy of the system in J/K on attaining thermal equilibrium (rounded off to two decimal places) is (Specific heat of water

Q. A radioactive element X has a half-life of 30 hours. It decays via alpha, beta and gamma emissions with the branching ratio for beta decay being 0.75. The partial half-life for beta decay in unit of hours is            Ans: 40 Sol:

Q. Let 𝜃 be a variable in the range − 𝜋 ≤ 𝜃 < 𝜋.  Now consider a function If its Fourier series is written as then the value of 𝑚=−∞   𝑚 |𝐶3|2 (rounded off to three decimal places) is            Ans: 0.011