Q. In order to estimate the specific heat of phonons, the appropriate method to apply would be (A) Einstein model for acoustic phonons and Debye model for optical phonons  (B) Einstein model for optical phonons and Debye model for acoustic phonons  (C) Einstein model for both optical and ...

Q. Consider a one-dimensional gas of 𝑁 non-interacting particles of mass 𝑚 with the Hamiltonian for a single particle given by , The high temperature specific heat in units of 𝑅 = 𝑁𝑘𝐵 (𝑘𝐵 is the Boltzmann constant) is (A) 1(B) 1.5(C) 2(D) 2.5 Ans: 1

Q. Considering baryon number and lepton number conservation laws, which of the following processes is/are allowed? (i)   𝑝 → 𝜋0 + 𝑒+ + 𝜈𝑒 (ii) 𝑒+ + 𝜈𝑒 → 𝜇+ + 𝜈𝜇 (A) both (i) and (ii)(B) only (i) (C) only (ii) (D) neither (i) nor (ii) Ans: only (ii)

Q. In a water flooding experiment, the pressure gradients in the displacing and displaced phases are 400 psi/ft and 350 psi/ft, respectively. Assume that the displacement front is stable in the absence of capillary and gravity forces. Consider that only water flows upstream and only oil flows ...

Q. In an active water drive during a certain period, the rate of production and reservoir pressure remain constant. The water influx into the reservoir from the aquifer is 6000 bbl/day. The surface oil and water production rates are 3000 STB/day and 1500 STB/day, respectively. The current ...

Q. Cement weighing 100 kg is mixed with 50 liters of water. The specific gravity of cement is 3.14 and the density of water is 1000 kg/m3. Neglecting volume changes, the resulting density of the slurry is______kg/m3 (round off to 1 decimal place). Ans: 1820-1880 Sol:

Q. In a drilling rig, the crown block and the traveling block have three and two sheaves, respectively. A single wireline connects the hoisting drum to the deadline anchor as shown in the figure. Neglect the weight of the pulleys and the wireline, and friction between the sheaves and wireline. The ...

Q. A vertical well of 8000 ft is producing below bubble point pressure. Oil and water each is produced at the rate of 500 bbl/day. The indicated bottom hole pressure is 3000 psi. If the same gas to liquid ratio (GLR) is maintained, using the given figure, the new bottom hole pressure at 5000 ft ...

Q. The sonic log parameters from an exploratory well in a reservoir are as follows: Measured P-wave transit time (∆𝑡𝑙𝑜𝑔) = 85 µs/ft True resistivity (Rt) = 10 ohm-m Matrix transit time (∆𝑡𝑚𝑎) = 45 µs/ft Fluid transit time (∆𝑡𝑓𝑙) = 205 µs/ft Formation water resistivity at reservoir ...

Q. A model porous medium of 5 cylindrical capillaries of radii varying from 60 to 100 micrometers (refer Table) is subjected to Mercury Injection Capillary Pressure (MICP) treatment. The capillaries are being filled in an increasing order of their entry pressure. The magnitude of (σ cos 𝜃)ai𝑟−𝐻𝑔 ...