24 Official GATE PH Questions with Verified Solutions & Answer Keys
Which among the following sets of Maxwell relations is correct? (U - internal energy. H - enthalpy, A - Helmholtz free energy and G - Gibbs froe energy) (A) =(a) and prai (2s), (B)...
If the isothermal compressibility of a solid is K, = 10-1º (Pa)'' , the pressure required to increase its density by 1% is approximately (A) 10* Pa (B) 10° Pa (C) 10% Ра (D) 10'º P...
For a system at constant temperature and volume, which of the following statements is correct at equilibrium? (A) The Helmholtz free energy attains a local minimum. (B) The Helmhol...
(A) (B) (C) (D) Among the term symbols 4S1, 2D7/22 351 and 2D5/2 choose the option(s) possible in the LS coupling notation. *51 2D7/2 351 2D5/2...
(A) (B) (C) (D) Consider a single one-dimensional harmonic oscillator of angular frequency ∞, in equilibrium at temperature T = (kgß) -1. The states of the harmonic oscillator are ...
Consider the potential U(r) defined as e-ar U(r) = -U- where a and Uo are real constants of appropriate dimensions. According to the first Born approximation, the elastic scatterin...
Which of the following relationship between the internal energy U and the Helmholtz's free energy F is true?...
Water at 300 K can be brought to 320 K using one of the following processes. Process 1: Water is brought in equilibrium with a reservoir at 320 K directly. Process 2: Water is firs...
A paramagnetic salt of mass m is held at temperature T in a magnetic field H. If S is the entropy of the salt and M is its magnetization, then dG = -SdT - MdH, where G is the Gibbs...
For 1 mole of Nitrogen gas, the ratio $\left(\frac{\Delta S_I}{\Delta S_{II}}\right)$ of entropy change of the gas in processes (I) and (II) is (in integer) _...
Which one of the following entropy (S) - temperature (T) diagrams CORRECTLY represents the Carnot cycle abcda shown in the 𝑷-𝑽 diagram? (A) (B) (C) (D)...
Which one of the following options is CORRECT for the given logic circuit?...
Which of the following is(are) the CORRECT option(s) for the Joule -Thomson effect?...
For a covalently bonded solid consisting of ions of mass m, the binding potential can be assumed to be given by U(r) = - \epsilon ( r r0 ) e - r r0 , where \epsilon and r0 are posi...
A spin 1 2 particle is in a spin up state along the x-axis (with unit vector x̂) and is denoted as | 1 2 , 1 2〉x. What is the probability of finding the parti cle to be in a spin u...
If a thermodynamical system is adiabatically isolated and experiences a change in volume under an externally applied constant pressure, then the thermodynamical potential minimized...
The vapor pressure (P) of solid ammonia is given by ln (P) = 23.03 - 3754 T , while that of liquid a mmonia is given by ln (P) = 19.49 - 3063 T , where T is the temperature in K. T...
The Joule-Thomson expansion of a gas is (A) Isentropic (B) Isenthalpic (C) Isobaric (D) Isochoric...
One mole of an ideal monatomic gas at absolute temperature T undergoes free expansion to double its original volume , so that the entropy change is ΔS1. An identical amount of the ...
Consider the Otto cycle for an ideal gas engine consisting of two quasistatic adiabatic and two quasistatic isochoric processes. The correct temperature-entropy (T-S) phase diagram...
Schematic variation of the specific heat Cp of an ideal gas of diatomic molecules with temperature T is shown in the figure below. For rotational energy ER and vibrational energy E...
The specific heat Cp(T) of one mole of a material as a function of temperature T is given as Cp(T) = AT + BT3, where A = 0.695 mJ. mol-1. K-2 and B = 0.045 mJ. mol-1. K-4. When T i...
A gas of N classical particles that can occupy energy levels, \epsilon1 and \epsilon2 = \epsilon1 + Δ is in equilibrium with a reservoir at temperature T. From the schematics shown...
A positive point charge is fixed at the origin. At some distance from it on the x axis, a point dipole is kept pointing in the +y direction. The force on the dipole is...