List of top Questions asked in CUET (PG)

Assuming that the production function is homogeneous of degree one and Euler's equation holds, if \( MP_L \) (marginal product of labour) is greater than \( AP_L \) (average product of labour), then:
Which of the following statements is not correct?
The exports of goods of a country, \( G = G(t) \), has a growth rate of \( a/t \), and its exports of services, \( S = S(t) \), has a growth rate of \( b/t \). What is the growth rate of its total exports \( X \)?
The Pareto optimality criterion implies fulfillment of all the following conditions except:
If the demand function is given as \( P = 110 - Q^2 \) and market equilibrium is attained at \( P_0 = 29 \) and \( Q_0 = 9 \), calculate the consumer surplus.
The molecular density of a gas is n and diameter of its molecule is d. The mean free path of molecule is:

Match List-I with List-II for the index of refraction for yellow light of sodium (589 nm)

LIST-I (Materials)LIST-II (Refractive Indices)
A.IceI.1.309
B.Rock salt (NaCl)II.1.460
C.CCl₄III.1.544
D.DiamondIV.2.417


Choose the correct answer from the options given below:

The gas constant is:
Specific heat of saturated water vapour at 100\(^{\circ}\)C is.
The S.I. unit of compressibility is:
According to the Dulong and Petit's law, the atomic heat of an element at constant volume:
Fermions have spin value equal to:
Quantum statistics changes into classical statistics if: (Symbols have their usual meaning)
Degree of degeneracy will be large when:
In the steady state of temperature, the flow of heat across the body depends upon its:
A. thermal capacity
B. thermal conductivity
C. temperature difference across its opposite faces
D. thermal resistivity
Choose the CORRECT answer from the options given below:
Which of the following statements are correct:
A. Specific heat of saturated water vapour at 100\(^{\circ}\)C is negative.
B. There is only one triple point of a substance.
C. Boiling point of every liquid rises with increase in pressure.
D. Latent heat can not become zero.
Choose the CORRECT answer from the options given below:
For a system of particles, if the external net force acting on the system is zero, the system's center of mass is:
The gravitational field at a point in space is:
A parallel-plate capacitor has a dielectric slab of thickness d and dielectric constant K inserted between the plates. The capacitance change compared to the vacuum case (when no slab is inserted) is:
The electric field just outside a charged conductor is E. The electric field just inside the conductor is:
In the context of conductors in electrostatic equilibrium, the relationship between electric field and the conductor's surface is:
The electric potential inside a charged conducting sphere is constant. The charge distribution inside the sphere will be:
Let \( f(x) = |x| + |x-1| + |x+1| \) be a function defined on \( \mathbb{R} \), then \( f(x) \) is:
If an electromagnetic wave is totally reflected, the radiation pressure in terms of average Poynting vector S\(_{av}\) is:
Inside a uniformly charged spherical shell, the value of the electric field at distance r from the center is: