List of top Mechanical Engineering Questions asked in Common University Entrance Test

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:
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?
A Newtonian fluid is defined as the fluid which
Bernoulli's theorem deals with the law of conservation of
Structural steel forms neck before it breaks. Neck formation starts
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:
All the failure theories give nearly the same results when
A principal plane is a plane of
The following conditions must be satisfied for a perfect truss (m = number of members, j = number of joints):
The critical speed of a rotating shaft depends upon
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
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
The height of a Watt's governor is expressed as
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 strain energy stored in a body due to a suddenly applied load compared to when it is applied gradually is
The maximum frictional force which comes into play when a body just begins to slide over another surface is called
Using the method of Regula Falsi, a root of the equation \( x^3 + x^2 - 3x - 3 = 0 \) lying between 1 and 2 is
Using Poisson distribution, the probability that the ace of spades will be drawn from the pack of well-shuffled cards at least once in 104 consecutive trials is
A population grows at the rate of 8% per year. How long does it take for the population to double?
A can hit a target 3 times in 5 shots, B 2 times in 5 shots, and C three times in 4 shots. All of them fire one shot each simultaneously at the target. What is the probability that at least two shots hit?
If \( \frac{d}{dx}(y) = y \sin 2x \) and \( y(0) = 1 \), then what is the required solution?
What are the absolute maximum value and the absolute minimum value of a function \( f(x) = \sin x + \cos x \) in the interval \( [0, \pi] \)?
If \( y = e^{(x+e)^{(x+e)^{(x+\cdots)}}} \), what is the value of \( \frac{d}{dx}(y) \)?
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 \( k \).