List of top Mechanical Engineering Questions asked in CUET (PG)

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:
Using the method of Regula Falsi, a root of the equation \( x^3 + x^2 - 3x - 3 = 0 \) lying between 1 and 2 is
What are the absolute maximum value and the absolute minimum value of a function \( f(x) = \sin x + \cos x \) in the interval \( [0, \pi] \)?
In a psychrometric chart, what does a vertical downward line represent?
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
Match List-I with List-II
List-I (Details of the processes of the cycle)List-II (Name of the cycle)
(A) Two adiabatic, one isobaric and two isochoric(I) Diesel
(B) Two adiabatic and two isochoric(II) Carnot
(C) Two adiabatic, one isobaric and one isochoric(III) Dual
(D) Two adiabatics and two isothermals(IV) Otto
Choose the correct answer from the options given below:
If \( y = e^{(x+e)^{(x+e)^{(x+\cdots)}}} \), what is the value of \( \frac{d}{dx}(y) \)?
The following conditions must be satisfied for a perfect truss (m = number of members, j = number of joints):
Feed drives in CNC milling are provided by:
At a point on the beam where shear force changes signs, the bending moment at that point is
An aeroplane is flying at a height of 15 km, where the temperature is -50°C. Assuming \( k = 1.4 \) and \( R = 287 \, \text{J/K . kg} \), the approximate speed of the plane corresponding to \( M = 2.0 \) will be?
All the failure theories give nearly the same results when
If \( A = \begin{bmatrix} 2 & -1 \\ -1 & 2 \end{bmatrix} \) satisfies the matrix polynomial equation \( A^2 - 4 + kI_2 = 0 \), then determine the value of \( k \).
Match List-I with List-II
Choose the correct answer from the options given below:
The latent heat of vaporization at the critical point is
The power required for turning a mild steel rod is found to be 0.1 kW/cm³/min. The maximum power available at the machine spindle is 4 kW. Assuming a cutting speed of 38 m/min and feed rate of 0.32 mm/rev, the maximum metal removal rate and depth of cut are respectively:
During tensile tests on mild steel specimens, the following points are observed:
(A) Elastic limit
(B) Proportionality limit
(C) Yield Point
(D) Fracture point
Choose the correct sequence of observation after the application of loading:
Arrange the following elements of a feedback control loop in the correct order: (A) Actuator (B) Error detection (C) Controller (D) Feedback sensor Choose the correct answer from the options given below:
An impulse turbine produces 50 kW of power when the blade mean speed is 400 m/s. What is the rate of change of momentum tangential to the rotor?
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 DC power source for arc welding has the characteristics \( 3V + I = 240 \), where 'V' is the voltage in volts and 'I' is the current in amperes. For maximum power at the electrode, voltage should be set at:
The equation of free vibration of a system is \( X + 36\pi^2 X = 0 \). Its natural frequency is:
The ratio of is given as \( \frac{E{\lambda}_1 b_2}{E{\lambda}_1 b_1} \) is given as:
The integration of CAD and CAM is known as:
In which one of the following materials the heat energy propagation is minimum due to conduction heat transfer?