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Full Test 4 - EKT Mechanical - AFCAT MCQ


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30 Questions MCQ Test IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 - Full Test 4 - EKT Mechanical

Full Test 4 - EKT Mechanical for AFCAT 2024 is part of IAF AFCAT Mock Test Series and EKT for (ME, EEE, CSE) 2025 preparation. The Full Test 4 - EKT Mechanical questions and answers have been prepared according to the AFCAT exam syllabus.The Full Test 4 - EKT Mechanical MCQs are made for AFCAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Full Test 4 - EKT Mechanical below.
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Full Test 4 - EKT Mechanical - Question 1

A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random form the bag. The probability that all of them are red is:

Detailed Solution for Full Test 4 - EKT Mechanical - Question 1

Total balls in the bag are = 15
Sample space 
The probability that all the balls are red is 

Full Test 4 - EKT Mechanical - Question 2

If x = a(cos t + t sin t), y = a(sin t – t cos t). The value of dy/dx is

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Full Test 4 - EKT Mechanical - Question 3

Detailed Solution for Full Test 4 - EKT Mechanical - Question 3

 

Multiplying matrix A by itself, we get 

Full Test 4 - EKT Mechanical - Question 4

If ω is a cube root of unity then the value of (1 − ω8)(1 − ω4)(1 − ω2)(1 − ω) is ___

Detailed Solution for Full Test 4 - EKT Mechanical - Question 4

We know that 1 + ω  +ω2  = 0 and ω3 = 1 then

(1−ω8)(1−ω4)(1−ω2)(1−ω) = (1−ω2)(1−ω)(1−ω2)(1−ω)
= (1−ω2−ω+ω3)(1−ω2−ω+ω3)
= (2−(ω+ω2))(2−(ω+ω2))
= (2−(−1))(2−(−1)) = 9

Full Test 4 - EKT Mechanical - Question 5

The inverse of the matrix 

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The determinant if matrix A is given as

Full Test 4 - EKT Mechanical - Question 6

The property by virtue of which liquid opposes relative motion between its different layers is called

Detailed Solution for Full Test 4 - EKT Mechanical - Question 6

Viscosity is the property of a fluid which determines its resistance to shearing stresses or which opposes the relative motion between the different layers.

Cause of Viscosity: It is due to cohesion and molecular momentum exchange between fluid layers.

S.I. Units: Pa.s or N.s/m2
C.G.S Unit of viscosity is Poise = dyne-sec/cm2
One Poise = 0.1 Pa.s
1/100 Poise is called centipoises.
Dynamic viscosity of water at 20oC is approx = 1 cP

Full Test 4 - EKT Mechanical - Question 7

Tesla is a measure of

Detailed Solution for Full Test 4 - EKT Mechanical - Question 7

Tesla (T) is a measure of magnetic flux density.
Electrical potential measures in volts (V).
Magnetic potential measures in Amperes (A).

Full Test 4 - EKT Mechanical - Question 8

Optical fiber works on the principle of –

Detailed Solution for Full Test 4 - EKT Mechanical - Question 8

Optical fibre works on the principle of total internal reflection. Here light is used to transmit information from one place to another.

Full Test 4 - EKT Mechanical - Question 9

The colors on a soap bubble is due to

Detailed Solution for Full Test 4 - EKT Mechanical - Question 9

Color in soap bubble is due to phenomenon of thin film interference. There is a thin film like structure formed between the outer and inner surface of the bubble, which reflects a spectrum of beautiful colors from its surface.

Full Test 4 - EKT Mechanical - Question 10

A zener diode works on the principle of

Detailed Solution for Full Test 4 - EKT Mechanical - Question 10

A zener diode works based on the tunneling of charge carriers across the junction. A zener diode is a normal diode in the forward biased. It is in the reverse biased condition that the heavy doping causes a zener to behave differently than a normal diode.

Full Test 4 - EKT Mechanical - Question 11

A 6 × 19 rope implies that there are

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The notation of rope is given as

Full Test 4 - EKT Mechanical - Question 12

A line AB is parallel to both HP and VP. Its side view will be ______

Detailed Solution for Full Test 4 - EKT Mechanical - Question 12

A line AB is parallel to both HP and VP. Its side view will be a point.

Or it can be viewed as:

Full Test 4 - EKT Mechanical - Question 13

The included angle in Acme threads is

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Square and trapezoidal threads are most commonly used threads.

Square thread: In this thread the flanks are perpendicular to the axis of the thread. This is used for transmitting motion or power. E.g. Fly presses, Screw jack, vice handles, cross-slide and compound slide etc.

Trapezoidal threads: These threads have a profile which is neither square nor V thread form and have a form of trapezoid. Different forms of trapezoidal threads are ACME thread, Buttress thread, Saw-tooth thread, Worm thread

  • ACME thread: It has an included angle of 29°. These are used in lathe lead screws.
  • Buttress Thread: In this thread, one flank is perpendicular to the axis of the thread and other flank is at 45°. These threads are used in power press, carpentry vices, gun breeches, ratchets etc.
  • Knuckle thread: The shape of the knuckle thread is not trapezoid, but it has a rounded shape. It has limited applications. It is used for valve spindles, railway carriage coupling, hose connections etc.
Full Test 4 - EKT Mechanical - Question 14

The horse power transmitted by a belt is dependent upon

Detailed Solution for Full Test 4 - EKT Mechanical - Question 14

Power transmitted 

Where T1 and T2 = Tensions in the tight and slack side of the belt respectively in newton
v = Velocity of the belt in m/s

Full Test 4 - EKT Mechanical - Question 15

The key shown in the above figure is a

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Barth Key: It is modification of rectangular key which has two bevelled surfaces. The bevelled surface ensure that key will fit tightly. Primarily key is under compression rather than in shear.

Full Test 4 - EKT Mechanical - Question 16

The velocity in m/s of a particle moving in a straight line is given by v = t3 – t2, its acceleration after three seconds is 

Detailed Solution for Full Test 4 - EKT Mechanical - Question 16

Acceleration (a) = dv/dt = 3t− 2t
at t = 3 sec
a = 3 × 3 × 3 – 2 × 3 = 21 m/s2

Full Test 4 - EKT Mechanical - Question 17

The quantity, which is equal to rate to change of momentum is known as:

Detailed Solution for Full Test 4 - EKT Mechanical - Question 17

According to Newton’s Second Law of Motion, the applied force or impressed force is directly proportional to the rate of change of momentum.

Full Test 4 - EKT Mechanical - Question 18

Which Newton's law of motion gives the measure of force?

Detailed Solution for Full Test 4 - EKT Mechanical - Question 18

Newton’s second law of motion gives the measure of force as F = ma.

According to Second law of motion the net force acting on a body is equal to the product of the mass of body and the acceleration produced in it OR the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object

Full Test 4 - EKT Mechanical - Question 19

The diameter of core of a circular section is given as:

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Core of a cross section of a column is defined as the portion of cross section of a column within which the eccentric axial load should act so that there is no tensile stress developed on the cross section of the column. The diameter of core of a circular section is d/4.

Full Test 4 - EKT Mechanical - Question 20

For the analysis of thick cylinders, the theory applicable is

Detailed Solution for Full Test 4 - EKT Mechanical - Question 20

For thick cylinder:

(Radial stress always compressive so its magnitude always negative)

These two equations are called Lame’s Equations. The constants A and B are obtained from the boundary conditions.

Full Test 4 - EKT Mechanical - Question 21

Poisson’s ratio is defined as the ratio of:

Detailed Solution for Full Test 4 - EKT Mechanical - Question 21

 

The ratio of lateral strain to the longitudinal strain is a constant for a given material, when the material is stressed within the elastic limit. This ratio is known as Poisson’s ratio (μ).

Full Test 4 - EKT Mechanical - Question 22

Shear Force is

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Shear force is the rate of change of bending moment. Let F is shear force, M is bending moment and W is load then

Full Test 4 - EKT Mechanical - Question 23

According to Boyle's law for a perfect gas

Detailed Solution for Full Test 4 - EKT Mechanical - Question 23

According to Boyle’s law for a fixed mass of gas at constant temperature, the volume is inversely proportional to the pressure. That means that, for example, if you double the pressure, you will halve the volume. This can express this mathematically as

PV = constant

Full Test 4 - EKT Mechanical - Question 24

A diathermic wall is one which

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A diathermal or diabatic wall is one that heat can pass through. It is made from a thermal conductor. It is essentially a thermal wall.

An adiabatic wall is one that heat cannot pass through. It is made from a thermal insulator.

Full Test 4 - EKT Mechanical - Question 25

Thermodynamics work is the product of

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P = intensive property
dV = change in extensive property

Full Test 4 - EKT Mechanical - Question 26

The fundamental unit of enthalpy is

Detailed Solution for Full Test 4 - EKT Mechanical - Question 26

The enthalpy of a substance H is defined as

H = U + PV

Hence, the enthalpy is calculated as the sum of internal energy and the product of pressure and volume of the system

It is an extensive property of a system and its unit is kJ.

So it is form of energy with the dimensional unit  ML2T-2

Full Test 4 - EKT Mechanical - Question 27

The four process of the Carnot cycles are

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Carnot cycle consists of two reversible isothermal and two isentropic process.

Full Test 4 - EKT Mechanical - Question 28

Bernoulli’s equation is applied to

Detailed Solution for Full Test 4 - EKT Mechanical - Question 28

Bernoulli's equation states that the summation of pressure head, kinetic head and datum/potential head is constant for steady, incompressible, irrotational and non-viscous flow. In other words an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy i.e. the total energy of a flowing system remain constant until external force is applied. So Bernoulli’s equation refers to conservation of energy.

All flow measuring devices like Venturimeter, Orifice meter, Pitot tube meter works on the Bernoulli’s theorem.

Full Test 4 - EKT Mechanical - Question 29

Reciprocating pumps are suitable for:

Detailed Solution for Full Test 4 - EKT Mechanical - Question 29

Full Test 4 - EKT Mechanical - Question 30

Piezometer is used to measure :

Detailed Solution for Full Test 4 - EKT Mechanical - Question 30

A piezometer is either a device used to measure liquid pressure in a system by measuring the height to which a column of the liquid rises against gravity, or a device which measures the pressure (more precisely, the piezometric head) of groundwater at a specific point.

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