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.
| 201. |
The wheels of a moving car possess |
| A. | Potential energy only |
| B. | Kinetic energy of translation only |
| C. | Kinetic energy of rotation only |
| D. | Kinetic energy of translation and rotation both |
| Answer» E. | |
| 202. |
Two blocks ‘A’ and ‘B’ of masses 150 kg and 50 kg respectively are connected by means of a string as shown in the below figure. The tension in all the three strings __________ be same. |
| A. | Will |
| B. | Will not |
| C. | Either A or B |
| D. | None of these |
| Answer» B. Will not | |
| 203. |
The term 'Centroid' is |
| A. | The same as centre of gravity |
| B. | The point of suspension |
| C. | The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis |
| D. | None of the above |
| Answer» B. The point of suspension | |
| 204. |
In the shown figure, the tension (T) in the string will be |
| A. | m₁. m₂. g/(m₁ + m₂) |
| B. | 2m₁. m₂. g/(m₁ + m₂) |
| C. | (m₁ + m₂)/ m₁. m₂. g |
| D. | (m₁ + m₂)/2m₁. m₂. g |
| Answer» C. (m₁ + m₂)/ m₁. m₂. g | |
| 205. |
The static friction |
| A. | Bears a constant ratio to the normal reaction between the two surfaces |
| B. | Is independent of the area of contact, between the two surfaces |
| C. | Always acts in a direction, opposite to that in which the body tends to move |
| D. | All of the above |
| Answer» E. | |
| 206. |
Two forces are acting at an angle of 120°. The bigger force is 40 N and the resultant is perpendicular to the smaller one. The smaller force is |
| A. | 20 N |
| B. | 40 N |
| C. | 120 N |
| D. | None of these |
| Answer» B. 40 N | |
| 207. |
The weight of a body is due to |
| A. | Gravitational pull exerted by the earth |
| B. | Forces experienced by body in atmosphere |
| C. | Force of attraction experienced by particles |
| D. | Gravitational force of attraction towards the centre of the earth |
| Answer» E. | |
| 208. |
The unit of work in S.I. units is |
| A. | Newton |
| B. | erg |
| C. | kg-m |
| D. | joule |
| Answer» E. | |
| 209. |
The unit of force in S.I. units is |
| A. | kilogram |
| B. | Newton |
| C. | Watt |
| D. | Dyne |
| Answer» C. Watt | |
| 210. |
The unit of angular velocity is |
| A. | m/min |
| B. | rad/s |
| C. | Revolutions/min |
| D. | Both (B) and (C) |
| Answer» E. | |
| 211. |
The unit of angular acceleration is |
| A. | N-m |
| B. | m/s |
| C. | m/s2 |
| D. | rad/s2 |
| Answer» E. | |
| 212. |
The rate of doing work is known as |
| A. | Potential energy |
| B. | Kinetic energy |
| C. | Power |
| D. | None of these |
| Answer» D. None of these | |
| 213. |
The motion of a wheel of a car is |
| A. | Purely translation |
| B. | Purely rotational |
| C. | Combined translation and rotational |
| D. | None of these |
| Answer» D. None of these | |
| 214. |
The moment of a force |
| A. | Is the turning effect produced by a force, on the body, on which it acts |
| B. | Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force |
| C. | Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken |
| D. | All of the above |
| Answer» E. | |
| 215. |
The length of a second's pendulum is |
| A. | 94.9 cm |
| B. | 99.4 cm |
| C. | 100 cm |
| D. | 101 cm |
| Answer» C. 100 cm | |
| 216. |
The maximum height of a projectile on a horizontal plane, is |
| A. | u² sin²α/2g |
| B. | u² cos²α/2g |
| C. | u² sin²α/g |
| D. | u² cos²α/g |
| Answer» B. u² cos²α/2g | |
| 217. |
If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body. |
| A. | Change |
| B. | Does not change |
| C. | Changes periodically |
| D. | None of these |
| Answer» C. Changes periodically | |
| 218. |
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.) |
| A. | ω.√(y² - r²) |
| B. | ω.√(r² - y²) |
| C. | ω².√(y² - r²) |
| D. | ω².√(r² - y²) |
| Answer» C. ω².√(y² - r²) | |
| 219. |
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.) |
| A. | 2π. √(gh/kG² + h²) |
| B. | 2π. √(kG² + h²/gh) |
| C. | 1/2π. √(gh/kG² + h²) |
| D. | 1/2π. √(kG² + h²/gh) |
| Answer» D. 1/2π. √(kG² + h²/gh) | |
| 220. |
When the spring of a watch is wound, it will possess |
| A. | Strain energy |
| B. | Kinetic energy |
| C. | Heat energy |
| D. | Electrical energy |
| Answer» B. Kinetic energy | |
| 221. |
The center 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. | h [(2a + b)/(a + b)] |
| B. | (h/2) [(2a + b)/(a + b)] |
| C. | (h/3) [(2a + b)/(a + b)] |
| D. | (h/3) [(a + b)/(2a + b)] |
| Answer» D. (h/3) [(a + b)/(2a + b)] | |
| 222. |
The velocity ratio of a differential pulley block with D and d as the diameters of larger and smaller pulley, is |
| A. | D/(D - d) |
| B. | D/(D + d) |
| C. | 2D/(D - d) |
| D. | 2D/(D + d) |
| Answer» D. 2D/(D + d) | |
| 223. |
A cable with a uniformly distributed load per horizontal meter run will take the following shape |
| A. | Straight line |
| B. | Parabola |
| C. | Hyperbola |
| D. | Elliptical |
| Answer» C. Hyperbola | |
| 224. |
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 | |
| 225. |
A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly |
| A. | 38 m |
| B. | 62.5 m |
| C. | 96 m |
| D. | 124 m |
| Answer» D. 124 m | |
| 226. |
The velocity ratio of a first system of pulleys with 4 pulleys is |
| A. | 4 |
| B. | 8 |
| C. | 16 |
| D. | 20 |
| Answer» D. 20 | |
| 227. |
The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.) |
| A. | y = (gx²/2u² cos²α) + x. tanα |
| B. | y = (gx²/2u² cos²α) - x. tanα |
| C. | y = x. tanα - (gx²/2u² cos²α) |
| D. | y = x. tanα + (gx²/2u² cos²α) |
| Answer» D. y = x. tanα + (gx²/2u² cos²α) | |
| 228. |
The unit of force in S.I. system of units is |
| A. | Dyne |
| B. | Kilogram |
| C. | Newton |
| D. | Watt |
| Answer» D. Watt | |
| 229. |
The total momentum of a system of masses (i. e. moving bodies) in any one direction remains constant, unless acted upon by an external force in that direction. This statement is called |
| A. | Newton's first law of motion |
| B. | Newton's second law of motion |
| C. | Principle of conservation of energy |
| D. | Principle of conservation of momentum |
| Answer» E. | |
| 230. |
The moment of the force ‘P’ about ‘O’ as shown in the below figure is |
| A. | P × OA |
| B. | P × OB |
| C. | P × OC |
| D. | P × AC |
| Answer» D. P × AC | |
| 231. |
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 | |
| 232. |
The point, through which the whole weight of the body acts, irrespective of its position, is known as |
| A. | Moment of inertia |
| B. | Center of gravity |
| C. | Center of percussion |
| D. | Center of mass |
| Answer» C. Center of percussion | |
| 233. |
The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is |
| A. | [√(4p² - q²)]/6 |
| B. | (4p² - q²)/6 |
| C. | (p² - q²)/4 |
| D. | (p² + q²)/4 |
| Answer» B. (4p² - q²)/6 | |
| 234. |
A pair of smith's tongs is an example of the lever of |
| A. | Zeroth order |
| B. | First order |
| C. | Second order |
| D. | Third order |
| Answer» D. Third order | |
| 235. |
A framed structure is imperfect, if the numbers of members are __________ (2j - 3). |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | Either (B) or (C) |
| Answer» E. | |
| 236. |
The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of |
| A. | 0.5 r |
| B. | 0.6 r |
| C. | 0.7 r |
| D. | 0.8 r |
| Answer» C. 0.7 r | |
| 237. |
Static friction is always __________ dynamic friction. |
| A. | Equal to |
| B. | Less than |
| C. | Greater than |
| D. | None of these |
| Answer» D. None of these | |
| 238. |
The magnitude of two forces, which when acting at right angle produce resultant force of VlOkg and when acting at 60° produce resultant of Vl3 kg. These forces are |
| A. | 2 and V6 |
| B. | 3 and 1 kg |
| C. | V5andV5 |
| D. | 2 and 5 |
| Answer» D. 2 and 5 | |
| 239. |
The center of percussion of a solid cylinder of radius ‘r’ resting on a horizontal plane will be |
| A. | r/2 |
| B. | 2r/3 |
| C. | r/A |
| D. | 3r/2 |
| Answer» E. | |
| 240. |
A sample of metal weighs 219 gms in air, 180 gms in water, 120 gms in an unknown fluid. Then which is correct statement about density of metal |
| A. | Density of metal can't be determined |
| B. | Metal is twice as dense as water |
| C. | Metal will float in water |
| D. | Metal is twice as dense as unknown fluid |
| Answer» B. Metal is twice as dense as water | |
| 241. |
Concurrent forces are those forces whose lines of action |
| A. | Lie on the same line |
| B. | Meet at one point |
| C. | Meet on the same plane |
| D. | None of these |
| Answer» C. Meet on the same plane | |
| 242. |
The velocity ratio of a single purchase crab winch can be increased by |
| A. | Increasing the length of the handle |
| B. | Increasing the radius of the load drum |
| C. | Increasing the number of teeth of the pinion |
| D. | All of the above |
| Answer» B. Increasing the radius of the load drum | |
| 243. |
The velocity ratio for the first system of pulleys is (where n is the number of pulleys.) |
| A. | n |
| B. | n² |
| C. | 2n |
| D. | 2n - 1 |
| Answer» D. 2n - 1 | |
| 244. |
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 | |
| 245. |
Which of the following statement is correct in connection with projectiles? |
| A. | A path, traced by a projectile in the space, is known as trajectory. |
| B. | The velocity, with which a projectile is projected, is known as the velocity of projection. |
| C. | The angle, with the horizontal, at which a projectile is projected, is known as angle of projection. |
| D. | All of the above |
| Answer» E. | |
| 246. |
If a suspended body is struck at the center of percussion, then the pressure on die axis passing through the point of suspension will be |
| A. | Maximum |
| B. | Minimum |
| C. | Zero |
| D. | Infinity |
| Answer» D. Infinity | |
| 247. |
The ratio of static friction to dynamic friction is always |
| A. | Equal to one |
| B. | Less than one |
| C. | Greater than one |
| D. | None of these |
| Answer» D. None of these | |
| 248. |
The periodic time of a particle with simple harmonic motion is _________ proportional to the angular velocity. |
| A. | Directly |
| B. | Inversely |
| C. | Square root |
| D. | None of these |
| Answer» C. Square root | |
| 249. |
The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2, is |
| A. | 20 N |
| B. | 100 N |
| C. | 500 N |
| D. | None of these |
| Answer» D. None of these | |
| 250. |
The angle which an inclined plane makes with the horizontal when a body placed on it is about to move down is known as angle of |
| A. | Friction |
| B. | Limiting friction |
| C. | Repose |
| D. | Kinematic friction |
| Answer» D. Kinematic friction | |