List of top Questions asked in CUET (PG)

The equation of free vibration of a system is \( X + 36\pi^2 X = 0 \). Its natural frequency is:
The thickness of a laminar boundary layer at a distance \( x \) from the leading edge over a flat plate varies as
The latent heat of vaporization at the critical point is
Match List-I with List-II
List-IList-II
(A) Work done in a polytropic process(IV) \( \frac{p_1 V_1 - p_2 V_2}{n - 1} \)
(B) Work done in a steady flow process(I) \( - \int v \, dp \)
(C) Heat transfer in a reversible adiabatic process(II) Zero
(D) Work done in an isentropic process(III) \( \frac{p_1 V_1 - p_2 V_2}{\gamma - 1} \)
Choose the correct answer from the options given below:
Which thermodynamics law predicts correctly the degree of completion of a chemical reaction?
A refrigerating machine working on a reversed Carnot cycle takes out 2 kW of heat from the system while working between temperature limits of 300K and 200K. The coefficient of performance and power consumed by the cycle will be respectively:
Gas contained in a closed system consisting of a piston-cylinder arrangement is expanded. Work done by the gas during expansion is 50 kJ. The decrease in internal energy of the gas during expansion is 30 kJ. The heat transfer during the process is equal to:
For an insulated tip, the fin efficiency is given by
After expansion from a gas turbine, the hot exhaust gases are used to heat the compressed air from a compressor with the help of a cross-flow compact heat exchanger of 0.8 effectiveness. What is the number of transfer units of the heat exchanger?
The ratio of is given as \( \frac{E{\lambda}_1 b_2}{E{\lambda}_1 b_1} \) is given as:
A Newtonian fluid is defined as the fluid which
Bernoulli's theorem deals with the law of conservation of
Match List-I with List-II
List-I
(Dimensionless Numbers)		List-II
(Relationship)
(A) Froude's Number(II) \( \sqrt{\frac{\text{Inertia force}}{\text{Gravity force}}} \)
(B) Mach's Number(IV) \( \sqrt{\frac{\text{Inertia force}}{\text{Elastic Force}}} \)
(C) Euler's Number(I) \( \frac{\text{Pressure Force}}{\text{Inertia Force}} \)
(D) Weber's Number(III) \( \frac{\text{Inertia Force}}{\text{Surface Tension Force}} \)
Choose the correct answer from the options given below:
The following conditions must be satisfied for a perfect truss (m = number of members, j = number of joints):
Structural steel forms neck before it breaks. Neck formation starts
A principal plane is a plane of
At a point on the beam where shear force changes signs, the bending moment at that point is
The polar section modulus for a circular shaft of diameter "d" is:
The critical speed of a rotating shaft depends upon
All the failure theories give nearly the same results when
The value of the integral \( \int_C \frac{3\sigma^2 + x}{z^2 - 1} \, dz \), where \( C \) is the circle \( |z - 1| = 1 \), is
Using the method of Regula Falsi, a root of the equation \( x^3 + x^2 - 3x - 3 = 0 \) lying between 1 and 2 is
A slider sliding at 15 m/s on a link which is rotating at 30 r.p.m, is subjected to Coriolis acceleration of magnitude
A vertical double-acting steam engine develops 75 kW at 250 r.p.m. The maximum fluctuation of energy is 30 percent of the work done per stroke. The maximum and minimum speeds are not to vary more than 1 percent on either side of the mean speed. What is the approximate mass of the flywheel required? If the radius of gyration is 0.6 m.
The height of a Watt's governor is expressed as