MCQOPTIONS
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MCQOPTIONS
This section includes 508 Mcqs, each offering curated multiple-choice questions to sharpen your GATE (Mechanical Engineering) knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
A body is said to move or vibrate with simple harmonic motion if its acceleration is directed towards the mean position. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 102. |
Frequency of vibrations means the number of cycles per second. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 103. |
When a particle moves along a circular path, its acceleration has two components, one is normal component and the other is tangential component of acceleration. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 104. |
The moment of inertia of a square of side (a) about an axis through its centre of gravity is |
| A. | a⁴/4 |
| B. | a⁴/8 |
| C. | a⁴/12 |
| D. | a⁴/36 |
| Answer» D. a⁴/36 | |
| 105. |
The centre of gravity of a hemisphere lies at a distance of 3r / 8 from its base measured along the vertical radius. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 106. |
The centre of gravity of a trapezium with parallel sides a and b lies at a distance of y from the base b, as shown in the below figure. The value of y is |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» D. D | |
| 107. |
The power developed by a body acted upon by a torque T newton metre (N - m) and revolving at ω radian/s is given by |
| A. | T.ω (in watts) |
| B. | T.ω/60 (in watts) |
| C. | T.ω/75 (in kilowatts) |
| D. | T.ω/4500 (in kilowatts) |
| Answer» B. T.ω/60 (in watts) | |
| 108. |
The resultant of the two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then |
| A. | P = Q |
| B. | Q = R |
| C. | Q = 2R |
| D. | none of these |
| Answer» C. Q = 2R | |
| 109. |
The velocity ratio of a differential wheel and axle with D as the diameter of effort wheel and d1,and d2 as the diameters of larger and smaller axles respectively, is |
| A. | D/(d₁ + d₂) |
| B. | D/(d₁ - d₂) |
| C. | 2D/(d₁ + d₂) |
| D. | 2D/(d₁ - d₂) |
| Answer» E. | |
| 110. |
One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by(where δ = Deflection of the spring.) |
| A. | 2π. √(g/δ) |
| B. | 1/2π. √(g/δ) |
| C. | 2π. √(δ/g) |
| D. | 1/2π. √(δ/g) |
| Answer» C. 2π. √(δ/g) | |
| 111. |
The velocity of a particle moving with simple harmonic motion is __________ at the mean position. |
| A. | zero |
| B. | minimum |
| C. | maximum |
| D. | None of these |
| Answer» D. None of these | |
| 112. |
The velocity ratio in case of an inclined plane inclined at angle θ to the horizontal and weight being pulled up the inclined plane by vertical effort is |
| A. | sin θ |
| B. | cos θ |
| C. | tan θ |
| D. | cosec θ |
| Answer» B. cos θ | |
| 113. |
A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by(where μ = tanφ = Coefficient of friction between the plane and the body.) |
| A. | P = W tanα |
| B. | P = W tan(α + φ) |
| C. | P = W (sinα + μcosα) |
| D. | P = W (cosα + μsinα) |
| Answer» D. P = W (cosα + μsinα) | |
| 114. |
The angle of inclination of a vehicle when moving along a circular path __________ upon its mass. |
| A. | depends |
| B. | does not depend |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 115. |
If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is __________ the momentum of body having mass m2. |
| A. | equal to |
| B. | less than |
| C. | greater than |
| D. | None of these |
| Answer» D. None of these | |
| 116. |
The force which acts along the radius of a circle and directed away from the centre of the circle is called centrifugal force. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 117. |
A body will begin to move down an inclined plane if the angle of inclination of the plane is __________ the angle of friction. |
| A. | equal to |
| B. | less than |
| C. | greater than |
| D. | None of these |
| Answer» D. None of these | |
| 118. |
When a particle moves along a circular path with uniform velocity, there will be no tangential acceleration. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 119. |
When a train is rounding a curve, the side thrust on the wheel flanges is prevented by raising the outer edge of the rail. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 120. |
The range of projectile(R) on an upward inclined plane is |
| A. | g. cos² β/2u². sin (α + β). cos α |
| B. | 2u². sin (α + β). cos α/g. cos² β |
| C. | g. cos² β/2u². sin (α - β). cos α |
| D. | 2u². sin (α - β). cos α/g. cos² β |
| Answer» E. | |
| 121. |
If three forces acting at a point be represented in magnitude and direction by the three sides of a triangle, taken in order, the forces shall be in equilibrium. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 122. |
Mass moment of inertia of a thin rod about its one end is __________ the mass moment of inertia of the same rod about its mid-point |
| A. | same as |
| B. | twice |
| C. | thrice |
| D. | four times |
| Answer» E. | |
| 123. |
Newton's second law motion __________ a relation between force and mass of a moving body. |
| A. | gives |
| B. | does not give |
| C. | Can't say |
| D. | None of these |
| Answer» B. does not give | |
| 124. |
For any system of coplaner forces, the condition of equilibrium is that the |
| A. | algebraic sum of the horizontal components of all the forces should be zero |
| B. | algebraic sum of the vertical components of all the forces should be zero |
| C. | algebraic sum of moments of all the forces about any point should be zero |
| D. | all of the above |
| Answer» E. | |
| 125. |
The periodic time of a particle with simple harmonic motion is __________ proportional to the angular velocity. |
| A. | directly |
| B. | inversely |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 126. |
The moment of inertia of a solid cone of mass m and base radius r about its vertical axis is |
| A. | 3mr2/5 |
| B. | 3mr2/10 |
| C. | 2mr2/5 |
| D. | 4mr2/5 |
| Answer» C. 2mr2/5 | |
| 127. |
The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad / s², is |
| A. | a = α/ r |
| B. | a = α.r |
| C. | a = r / α |
| D. | none of these |
| Answer» C. a = r / α | |
| 128. |
The radius of gyration is the distance where the whole mass (or area) of a body is assumed to be concentrated. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 129. |
The potential energy stored by a spring in compression, is called strain energy. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 130. |
The forces, which do not meet at one point, but their lines of action lie on the same plane, are known as coplaner non-concurrent forces. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 131. |
The minimum force required to slide a body of weight W on a rough horizontal plane is |
| A. | W sin θ |
| B. | W cos θ |
| C. | W tan θ |
| D. | none of these |
| Answer» D. none of these | |
| 132. |
D' Alembert's principle basically depends upon Newton's second law of motion. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 133. |
Varingon's theorem of moments states that if a number of coplaner forces acting on a particle are in equilibrium, then |
| A. | their algebraic sum is zero |
| B. | their lines of action are at equal distances |
| C. | the algebraic sum of their moments about any point in their plane is zero |
| D. | the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point. |
| Answer» E. | |
| 134. |
The range of projectile on a downward inclined plane is __________ the range on upward inclined plane for the same velocity of projection and angle of projection. |
| A. | less than |
| B. | more than |
| C. | equal to |
| D. | None of these |
| Answer» C. equal to | |
| 135. |
The angular velocity (in rad / s) of a body rotating at N revolutions per minute is |
| A. | πN/60 |
| B. | πN/180 |
| C. | 2πN/60 |
| D. | 2πN/180 |
| Answer» D. 2πN/180 | |
| 136. |
The periodic time of one oscillation for a simple pendulum is(where l = Length of the pendulum.) |
| A. | (1/2π). √(l/g) |
| B. | (1/2π). √(g/l) |
| C. | 2π. √(l/g) |
| D. | None of these |
| Answer» D. None of these | |
| 137. |
The moment of inertia of a thin disc of mass m and radius r, about an axis through its centre of gravity and perpendicular to the plane of the disc is |
| A. | mr²/2 |
| B. | mr²/4 |
| C. | mr²/6 |
| D. | mr²/8 |
| Answer» B. mr²/4 | |
| 138. |
According to principle of conservation of energy, the total momentum of a system of masses in any direction remains constant unless acted upon by an external force in that direction. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 139. |
One watt is equal to |
| A. | 0.1 joule/s |
| B. | 1 joule/s |
| C. | 10 joules/s |
| D. | 100 joules/s |
| Answer» C. 10 joules/s | |
| 140. |
Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the ball with velocity v is made to struck the second ball. Both the balls after impact will move with a velocity |
| A. | v |
| B. | v/2 |
| C. | v/4 |
| D. | v/8 |
| Answer» C. v/4 | |
| 141. |
The term 'force' may be defined as an agent which produces or tends to produce, destroys or tends to destroy motion. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 142. |
If two blocks of equal mass are attached to the two ends of a light string and one of the blocks is placed over a smooth horizontal plane while the other is hung freely after passing over a smooth pulley, then the two blocks will have some motion. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 143. |
The total time taken by a projectile to reach maximum height and to return back to the ground, is known as time of flight. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 144. |
The frequency of oscillation of a torsional pendulum is |
| A. | 2πk/r. √(g/l) |
| B. | r/2πk. √(l/g) |
| C. | 2πr/k. √(g/l) |
| D. | r/2πk. √(g/l) |
| Answer» E. | |
| 145. |
If a number of forces are acting at a point, theirresultant will be inclined at an angle θ with the horizontal, such that |
| A. | tan θ = ∑H/∑V |
| B. | tan θ = ∑V/∑H |
| C. | tan θ = ∑Vx∑H |
| D. | None of these |
| Answer» C. tan θ = ∑Vx∑H | |
| 146. |
A resultant force is a single force which produces the same effect as produced by all the given forces acting on a body. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 147. |
The triangle law of forces states that if two forces acting simultaneously on a particle, be represented in magnitude and direction by the two sides of a triangle taken in order, then their resultant may be represented in magnitude and direction by the third side of a triangle, taken in opposite order. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 148. |
The distance, between the point of projection and the point where the projectile strikes the ground, is known as range. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 149. |
The centre of gravity of an equilateral triangle with each side a, is __________ from any of the three sides. |
| A. | 3a/2 |
| B. | 23a |
| C. | a/23 |
| D. | 32a |
| Answer» D. 32a | |
| 150. |
According to the law of moments, if a number of coplaner forces acting on a particle are in equilibrium, then |
| A. | their algebraic sum is zero |
| B. | their lines of action are at equal distances |
| C. | the algebraic sum of their moments about any point in their plane is zero |
| D. | the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point. |
| Answer» D. the algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point. | |