List of practice Questions

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
The maximum frictional force which comes into play when a body just begins to slide over another surface is called
The strain energy stored in a body due to a suddenly applied load compared to when it is applied gradually is
What are the absolute maximum value and the absolute minimum value of a function \( f(x) = \sin x + \cos x \) in the interval \( [0, \pi] \)?
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?
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
If \( y = e^{(x+e)^{(x+e)^{(x+\cdots)}}} \), what is the value of \( \frac{d}{dx}(y) \)?
If \( \frac{d}{dx}(y) = y \sin 2x \) and \( y(0) = 1 \), then what is the required solution?