All questions of Tests for Mechanical Engineering Exam

The friction experienced by a body, when in motion, is known as
  • a)
    rolling friction
  • b)
    dynamic friction
  • c)
    limiting friction
  • d)
    static friction
Correct answer is option 'B'. Can you explain this answer?

Anil Sharma answered
Friction is categorized in two parts. Dynamics and static friction. Body is moving here so static friction will be eliminated. And not mention about rolling. so rolling friction also eliminated, no concern of force and reactions here so limiting friction is not playing vital role here. Only option remaining is DYNAMIC FRICTION. Or directly we can say wherever body is in motion dynamic friction are there.

Which of the following is an equation of linear motion?(where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)
  • a)
    v = u + a.t
  • b)
    s = u.t + 1/2 a.t2
  • c)
    v2 = u2+2a.s
  • d)
    all of these
Correct answer is option 'D'. Can you explain this answer?

Equation of Linear Motion

The equation of linear motion describes the motion of an object in a straight line with constant or variable acceleration. There are three basic variables involved in the equation of linear motion, which are initial velocity (u), final velocity (v), acceleration (a), and displacement (s).

The equation of linear motion can be represented in different forms, depending on the variables involved. The most common forms of the equation of linear motion are:

a) v = u + at
b) s = ut + 1/2at^2
c) v^2 = u^2 + 2as

All of these equations are interrelated and can be derived from one another.

Explanation of Options

a) v = u + at - This equation represents the final velocity (v) of an object in terms of its initial velocity (u) and acceleration (a) after time (t) seconds.

b) s = ut + 1/2at^2 - This equation represents the displacement (s) of an object in terms of its initial velocity (u), acceleration (a), and time (t) seconds.

c) v^2 = u^2 + 2as - This equation represents the final velocity (v) of an object in terms of its initial velocity (u), acceleration (a), and displacement (s).

d) all of these - This option is the correct answer as all three equations (a, b, and c) are equations of linear motion and are interrelated.

Conclusion

The equation of linear motion plays an important role in understanding the motion of objects in a straight line. These equations help us to calculate various parameters of motion such as velocity, acceleration, displacement, and time. The three common equations of linear motion are interrelated and one can be derived from another.

The range of a projectile is maximum, when the angle of projection is
  • a)
    30º
  • b)
    45º
  • c)
    60º
  • d)
    90º
Correct answer is option 'B'. Can you explain this answer?

Aditi Saxena answered
The range of projection can be found as:
R = u^2*sin2$/g ; where u = launch velocity ; $ : angle of projection from horizontal ; g : acceleration due to gravity.
Hence put $ = 45 degree.

Biot number signifies the ratio of
[2014]
  • a)
    convective resistance in the fluid to conductive resistance in the solid
  • b)
    conductive resistance in the solid to convective resistance in the fluid
  • c)
    inertia force to viscous force in the fluid
  • d)
    buoyancy force to viscous force in the fluid
Correct answer is option 'B'. Can you explain this answer?

Gate Funda answered
Biot number provides a way to compare the conduction resistance within a solid body to the convection resistance external to the body (offered by the surrounding fluid) for heat transfer:

Where ‘s’ is a characteristic dimension of the solid
‘h’ is convective heat transfer coefficient
‘k’ is thermal conductivity of the body.

The Pascal law states that liquid at rest applies pressure at a point is ________ in all directions.
  • a)
    Same
  • b)
    Un-same
  • c)
    Not matching
  • d)
    Matching but not equal
Correct answer is option 'A'. Can you explain this answer?

Neha Choudhury answered
The Pascal law states that the liquid at rest applies pressure at a point is same in all directions. This means that the pressure is there in spite of the direction. And it is present in the same direction and is having same magnitude. Explanation: The liquid must be incompressible.

The pressure’of a gas in terms of its mean kinetic energy per unit volume E is equal to
  • a) 
    E/3 
  • b) 
    E/2
  • c) 
    3E/4 
  • d) 
    2E/3
Correct answer is option 'D'. Can you explain this answer?

Neha Choudhury answered
Pressure in terms of kinetic energy per unit volume:- The pressure of a gas is equal to two-third of kinetic energy per unit volume of the gas.
P = 2E/3

The more effective way of increasing the efficiency of a carnot engine is to
  • a)
    increase higher temperature
  • b)
    decrease higher temperature
  • c)
    increase lower temperature
  • d)
    decrease lower temperature
Correct answer is option 'D'. Can you explain this answer?

Neha Choudhury answered
From the Carnot Efficiency formula, it can be inferred that a maximum of 64% of the fuel energy can go to generation. To make the Carnot efficiency as high as possible, either Thot should be increased or Tcold (temperature of heat rejection) should be decreased.

According to the Clausiu’s statement of the second law:
1. heat flows from cold surface to hot surface, unaided.
2. heat flows from hot surface to cold surface, unaided.
3. heat can flow from cold surface to hot surface with the aid of external work.
Which of the above statement is /are correct ?
  • a)
    2 only
  • b)
    1 and 3
  • c)
    2 and 3
  • d)
    3 only
Correct answer is option 'D'. Can you explain this answer?

Engineers Club answered
Heat flows from hot to cold. ... It is important to emphasize that this statement of the 2nd law applies to the spontaneous flow of heat from hot to cold. It is possible, of course, to make a cool object in a warm place cooler - this is what a refrigerator does - but this involves the input of some external energy.

If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is
  • a)
    30º
  • b)
    60º
  • c)
    90º
  • d)
    120º
Correct answer is option 'D'. Can you explain this answer?

Shivam Sharma answered
Law of Cosine- R^2=P^2+Q^2-2PQ Cosθ

So θ = 60degree

When Forces are Nose to tail, θ = 60degree

When Forces are Tail to Tail, θ = 180degree-60degree = 120degree

As the temperature increases, the thermal conductivity of a gas
[2014]
  • a)
    increases
  • b)
    decreases
  • c)
    remains constant
  • d)
    increases up to a certain temperature and then decreases
Correct answer is option 'A'. Can you explain this answer?

Sanvi Kapoor answered

Where K is thermal conductivity
V is mean particle speed
λ is mean free path
CV is molar head capacity
NA is Avogadro's number
n is particles per unit volume
Gases transfer heat by direct collisions between molecules. As the temperature increases, the thermal conductivity increases due to increase in speed, movement and collisions in the molecules.
From the above expression, by increasing mean particle speed, the thermal conductivity increases.

The angle of inclination of a vehicle when moving along a circular path __________ upon its mass.
  • a)
    depends
  • b)
    does not depend
Correct answer is option 'B'. Can you explain this answer?

Ayush Chawla answered
Angle of Inclination of a Vehicle on a Circular Path

The angle of inclination of a vehicle on a circular path is defined as the angle between the horizontal plane and the line passing through the center of gravity of the vehicle and the point of contact of the tire with the ground.

The angle of inclination is affected by various factors such as the speed of the vehicle, the radius of the circular path, the coefficient of friction between the tire and the ground, and the width of the tire.

Effect of Mass on Angle of Inclination

The mass of the vehicle does not affect the angle of inclination when moving along a circular path. This is because the gravitational force acting on the vehicle is perpendicular to the plane of the circular path, and hence does not affect the angle of inclination.

The angle of inclination is primarily determined by the lateral forces acting on the vehicle due to the centripetal acceleration. These lateral forces are a function of the speed of the vehicle, the radius of the circular path, and the coefficient of friction between the tire and the ground.

In fact, a heavier vehicle may actually have a smaller angle of inclination than a lighter vehicle when moving along the same circular path, since the heavier vehicle would have a greater tendency to resist lateral forces due to its greater inertia.

Conclusion

In conclusion, the mass of a vehicle does not affect the angle of inclination when moving along a circular path. The angle of inclination is primarily determined by the lateral forces acting on the vehicle due to the centripetal acceleration, which are a function of the speed of the vehicle, the radius of the circular path, and the coefficient of friction between the tire and the ground.

The change in moment in shear stress diagrams is equal to _________
  • a)
    Rotational moment
  • b)
    Bending moment
  • c)
    Total weight
  • d)
    Area under shear diagram
Correct answer is option 'D'. Can you explain this answer?

Manoj Pillai answered
After the application of the force equation of equilibrium to the segment of the beam, we have the above result. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

A smooth cylinder lying on its convex surface remains in __________ equilibrium.
  • a)
    stable
  • b)
    unstable
  • c)
    neutral
Correct answer is option 'B'. Can you explain this answer?

Baishali Bajaj answered
Actually for justify stability we consider all possible way of cylinder and we see here it is kept on floor by means of convex surface so if we apply small disturbance then it will roll on the floor but if we kept it vertically on base then it will be stable so it is unstable.

The slope of the shear diagram is equal to__________
  • a)
    Rotational moment
  • b)
    Bending moment
  • c)
    Total weight
  • d)
    Distributed load intensity
Correct answer is option 'D'. Can you explain this answer?

Suyash Patel answered
After the application of the force equation of equilibrium to the segment of the beam, we have the above result. This is done on the very small part of the beam. That is the minimal section of the beam is to be considered and then the application of the equilibrium equations are done so as to calculate the final result.

Lumped heat transfer analysis of a solid object suddenly exposed to a fluid medium at a different temp is valid when
[2001]
  • a)
    Biot number < 0.1
  • b)
    Biot number > 0.1
  • c)
    Fourier number < 0.1
  • d)
    Fourier number > 0.1 
Correct answer is option 'A'. Can you explain this answer?

Is less than 0.1
b)Biot number is greater than 0.1
c)Fourier number is less than 0.1
d)Fourier number is greater than 0.1

The correct answer is b) Biot number is greater than 0.1.

The Biot number is a dimensionless number that represents the ratio of convective heat transfer to conductive heat transfer. It is defined as the product of the characteristic length (L) of the solid object and the convective heat transfer coefficient (h), divided by the thermal conductivity of the solid (k).

Bi = hL/k

In the lumped heat transfer analysis, it is assumed that the Biot number is greater than 0.1, meaning that the convective heat transfer is dominant compared to the conductive heat transfer. This assumption is valid when the solid object is relatively small or when the fluid medium has a high convective heat transfer coefficient.

Therefore, the lumped heat transfer analysis of a solid object suddenly exposed to a fluid medium at a different temperature is valid when the Biot number is greater than 0.1.

The coefficient of restitution for elastic bodies is one.
  • a)
    Correct
  • b)
    Incorrect
Correct answer is option 'B'. Can you explain this answer?

Shivam Sharma answered
Coefficient of restitution for elastic bodies is 0 - 1.

Coefficient of restitution for perfect elastic bodies is 1.

For air at a given temperature, as the relative humidity is increased isothermally,
  • a)
    the wet bulb temperature and specific enthalpy increase
  • b)
    the wet bulb temperature and specific enthalpy decrease
  • c)
    the wet bulb temperature increases and specific enthalpy decreases
  • d)
    the wet bulb temperature decreases and specific enthalpy increases
Correct answer is option 'A'. Can you explain this answer?

Anshu Kumar answered
Answer:
To understand why the correct answer is option 'A', let's break down the relationship between relative humidity, wet bulb temperature, and specific enthalpy.

Relative Humidity:
Relative humidity is a measure of the amount of moisture in the air compared to the maximum amount it can hold at a given temperature. It is expressed as a percentage. As the relative humidity increases, the air becomes more saturated with moisture.

Wet Bulb Temperature:
The wet bulb temperature is the temperature recorded by a thermometer that has its bulb covered with a wet cloth and exposed to moving air. It is a measure of the cooling effect due to evaporation. When the air is dry, the wet bulb temperature is lower than the dry bulb temperature. As the air becomes more saturated with moisture, the wet bulb temperature approaches the dry bulb temperature.

Specific Enthalpy:
Specific enthalpy is a measure of the total energy contained in a unit mass of air. It takes into account the internal energy of the air, as well as the energy associated with its pressure and volume. It is usually expressed in units of energy per unit mass (e.g., kJ/kg).

Relationship between Relative Humidity, Wet Bulb Temperature, and Specific Enthalpy:
1. As the relative humidity increases, the air becomes more saturated with moisture. This means that the air is already holding a significant amount of moisture.
2. When the air is holding more moisture, the cooling effect due to evaporation (wet bulb temperature) becomes less pronounced because there is less room for additional evaporation.
3. Therefore, as the relative humidity increases, the wet bulb temperature increases because less cooling is taking place.
4. The specific enthalpy of the air is directly related to its temperature. As the wet bulb temperature increases, so does the specific enthalpy.

Conclusion:
Based on the above explanation, we can conclude that as the relative humidity is increased isothermally, both the wet bulb temperature and specific enthalpy of the air increase. Therefore, the correct answer is option 'A'.

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