List of top Questions asked in CUET (PG)

How does the gas constant R is related to the universal gas constant \(\bar{R}\) and molecular mass M?

Select the correct sequence:
A. Zeroth law of thermodynamics
B. First law of thermodynamics
C. Second law of thermodynamics
D. Third law of thermodynamics
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Which of the following are the correct statements about laws of thermodynamics:
A. The first law does not indicate the direction in which the change can occur.
B. The first law indicates the direction in which the change can occur.
C. The second law does not indicate the direction in which the change occurs.
D. The second law indicates the direction in which the change can occur.
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Match the LIST-I with LIST-II

LIST-I (Thermal Process)	LIST-II (Statement)
A. Isothermal process	I. Which occurs at constant volume
B. Adiabatic Process	II. Which occurs at constant pressure
C. Isobaric Process	III. Which occurs at constant temperature
D. Isochoric process	IV. No heat transfer during the thermodynamic process

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Match the LIST-I with LIST-II

LIST-I (Basic Laws)	LIST-II (Properties)
A. First Law of Thermodynamics	I. Concept of temperature
B. Second Law of Thermodynamics	II. Concept of internal energy
C. Third Law of Thermodynamics	III. Concept of entropy
D. Zeroth Law of Thermodynamics	IV. Nernst Theorem

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According to the Entropy hypothesis, which one of the following statements is correct:

The value of specific heat at constant volume (\(C_V\)) for diatomic molecules is:

The reciprocal lattice for a body centered cubic crystal is:

Inter-planer spacing for a (034) plane in a simple cubic, whose lattice constant is \(4.5 \times 10^{-10}\) m, is:

The magnitude of the reciprocal lattice vector is related to interplaner spacing \(d_{hkl}\):

Which type of liquid crystal has its structure twisted about the helical axis lying perpendicular to the orientation of molecules?

The coordination number and volume of unit cell of hexagonal closed packed structure are respectively:

The number of distinct space groups possible in 3-dimensions is:

The shortest wavelength, present in X-rays produced by an accelerating potential of 50kV, is:

In Laue's technique of X-ray diffraction, a single crystal is held stationary and the beam of white radiation of wavelength \(\lambda\) is inclined at which condition with glancing angle (\(\theta\)):

The vector form of Bragg's law is used in the construction of:

Diamond exhibits which type of structures:

The correct statements about SC lattice are:
A. The number of atoms per unit cell is 1
B. Its packing factor is 0.52
C. Iron is an example of SC lattice
D. Its Coordination Number is 6
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The steps involved in determining the Miller indices are:
A. Take the reciprocal of these intercepts.
B. Simplify the fraction.
C. Enclose the obtained numbers into parentheses.
D. Find the intercepts of the plane on the crystallographic axes.
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The potential energy of a system of two atoms is given by the expression \( U = -A/r^2 + B/r^{10} \). A stable molecule is formed with the release of 8.0 eV of energy, when the interatomic distance is 2.8 Å. The values of A and B are:

The energies involved in the process of domain growth are:
A. Exchange energy
B. Anisotropic energy
C. Domain Wall energy
D. Magnetostrictive energy
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Match the LIST-I with LIST-II

LIST-I (Parameters)	LIST-II (Expressions)
A. Potential energy of a system of two atoms	I. \( \alpha = \sum_{j} \pm \frac{1}{p_{ij}} \)
B. Madelung constant	II. \( U_{ij} = \pm \frac{q^2}{r} \)
C. Coulomb electrostatic energy	III. \( U = -\frac{A}{r^2} + \frac{B}{r^{10}} \)
D. Cohesive energy	IV. \( U_{ij} = \lambda e^{-r_{ij}/\rho} \pm \frac{q^2}{r_{ij}} \)

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Vacancies of the crystal may arise due to:

The surface defects are two-dimensional defects, which have:
A. Grain boundaries
B. Tilt boundaries
C. Twin boundaries
D. Stacking boundaries
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Copper has FCC structure with a lattice constant 3.61 Å. The radius of the copper atom is: