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.
| 251. |
Which of the following is not the unit of work, energy and heat? |
| A. | kcal |
| B. | kg-m |
| C. | kW-hr |
| D. | h.p |
| Answer» E. | |
| 252. |
If the body falls freely under gravity, then the gravitational acceleration is taken as |
| A. | +8.9 m/s2 |
| B. | -8.9 m/s2 |
| C. | +9.8 m/s2 |
| D. | -9.8 m/s2 |
| Answer» D. -9.8 m/s2 | |
| 253. |
The horizontal range of a projectile (R) is given by |
| A. | R = u² cos2α/g |
| B. | R = u² sin2α/g |
| C. | R = u² cosα/g |
| D. | R = u² sinα/g |
| Answer» C. R = u² cosα/g | |
| 254. |
A redundant frame is also called __________ frame. |
| A. | Perfect |
| B. | Imperfect |
| C. | Deficient |
| D. | None of these |
| Answer» C. Deficient | |
| 255. |
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 | |
| 256. |
The moment of inertia of a square of side a about its diagonal is |
| A. | a²/8 |
| B. | a³/12 |
| C. | a⁴/12 |
| D. | a⁴/16 |
| Answer» D. a⁴/16 | |
| 257. |
The forces which do not meet at one point and their lines of action do not lie on the same plane are known as |
| A. | Coplanar concurrent forces |
| B. | Coplanar non-concurrent forces |
| C. | Non-coplanar concurrent forces |
| D. | None of these |
| Answer» E. | |
| 258. |
The total energy possessed by a system of moving bodies |
| A. | Is constant at every instant |
| B. | Varies from point to point |
| C. | Is maximum in the start and minimum at the end |
| D. | Is minimum in the start and maximum at the end |
| Answer» B. Varies from point to point | |
| 259. |
The resultant of two forces P and Q acting at an angle θ is |
| A. | √(P² + Q² + 2PQ sinθ) |
| B. | √(P² + Q² + 2PQ cosθ) |
| C. | √(P² + Q² - 2PQ cosθ) |
| D. | √(P² + Q² - 2PQ tanθ) |
| Answer» C. √(P² + Q² - 2PQ cosθ) | |
| 260. |
When a body falls freely under gravitational force, it possesses __________ weight. |
| A. | No |
| B. | Minimum |
| C. | Maximum |
| D. | None of these |
| Answer» B. Minimum | |
| 261. |
When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as |
| A. | Simple pendulum |
| B. | Compound pendulum |
| C. | Torsional pendulum |
| D. | Second's pendulum |
| Answer» C. Torsional pendulum | |
| 262. |
The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction in which the force acts. This statement is known as |
| A. | Newton's first law of motion |
| B. | Newton's second law of motion |
| C. | Newton's third law of motion |
| D. | None of these |
| Answer» C. Newton's third law of motion | |
| 263. |
If a body is acted upon by a number of coplanar non-concurrent forces, it may |
| A. | Rotate about itself without moving |
| B. | Move in any one direction rotating about itself |
| C. | Be completely at rest |
| D. | All of these |
| Answer» E. | |
| 264. |
One kg force is equal to |
| A. | 7.8 N |
| B. | 8.9 N |
| C. | 9.8 N |
| D. | 12 N |
| Answer» D. 12 N | |
| 265. |
One joule means that |
| A. | Work is done by a force of 1 N when it displaces a body through 1 m |
| B. | Work is done by a force of 1 kg when it displaces a body through 1 m |
| C. | Work is done by a force of 1 dyne when it displaces a body through 1 cm |
| D. | Work is done by a force of 1 g when it displaces a body through 1 cm |
| Answer» B. Work is done by a force of 1 kg when it displaces a body through 1 m | |
| 266. |
One joule is equal to |
| A. | 0.1 N-m |
| B. | 1 N-m |
| C. | 10 N-m |
| D. | 100 N-m |
| Answer» C. 10 N-m | |
| 267. |
The efficiency of a lifting machine is the ratio of |
| A. | Output to the input |
| B. | Work done by the machine to the work done on the machine |
| C. | Mechanical advantage to the velocity ratio |
| D. | All of the above |
| Answer» E. | |
| 268. |
The mechanical advantage of a lifting machine is the ratio of |
| A. | Distance moved by effort to the distance moved by load |
| B. | Load lifted to the effort applied |
| C. | Output to the input |
| D. | All of the above |
| Answer» C. Output to the input | |
| 269. |
The angle between two forces when the resultant is maximum and minimum respectively are |
| A. | 0° and 180° |
| B. | 180° and 0° |
| C. | 90° and 180° |
| D. | 90° and 0° |
| Answer» B. 180° and 0° | |
| 270. |
The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force. |
| A. | Less than |
| B. | Greater than |
| C. | Equal to |
| D. | None of these |
| Answer» C. Equal to | |
| 271. |
A block of mass 20 kg lying on a rough horizontal plane is connected by a light string passing over a smooth pulley to another mass 5 kg, which can move freely in the Vertical direction, as shown in the below figure. The tension in the string will ___________ with the increase in coefficient of friction. |
| A. | Increase |
| B. | Decrease |
| C. | Not be effected |
| D. | None of these |
| Answer» B. Decrease | |
| 272. |
The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.) |
| A. | t = g cos β/2u sin (α - β) |
| B. | t = 2u sin (α - β)/g cos β |
| C. | t = g cos β/2u sin (α + β) |
| D. | t = 2u sin (α + β)/g cos β |
| Answer» C. t = g cos β/2u sin (α + β) | |
| 273. |
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 | |
| 274. |
Which of the following is not the unit of pressure? |
| A. | kg/cm |
| B. | Bar |
| C. | Atmosphere |
| D. | Newton |
| Answer» E. | |
| 275. |
Which of the following is not the unit of distance? |
| A. | Angstrom |
| B. | Light year |
| C. | Micron |
| D. | Milestone |
| Answer» E. | |
| 276. |
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.) |
| A. | MS/3 |
| B. | MS/4 |
| C. | MS/5 |
| D. | None of these |
| Answer» D. None of these | |
| 277. |
A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is |
| A. | v |
| B. | 2v |
| C. | 4v |
| D. | 8v |
| Answer» C. 4v | |
| 278. |
If u₁ and u₂ are the velocities of two moving bodies in the same direction before impact and v₁ and v₂ are their velocities after impact, then coefficient of restitution is given by |
| A. | (v₁ - v₂)/(u₁ - u₂) |
| B. | (v₂ - v₁)/(u₁ - u₂) |
| C. | (u₁ - u₂)/(v₁ - v₂) |
| D. | (u₂ + u₁)/(v₂ + v₁) |
| Answer» C. (u₁ - u₂)/(v₁ - v₂) | |
| 279. |
The forces, which meet at one point and their lines of action also lie on the same plane, are known as |
| A. | Coplanar concurrent forces |
| B. | Coplanar non-concurrent forces |
| C. | Non-coplanar concurrent forces |
| D. | Non-coplanar non-concurrent forces |
| Answer» B. Coplanar non-concurrent forces | |
| 280. |
Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is |
| A. | (2/3) Ml² |
| B. | (1/3) Ml² |
| C. | (3/4) Ml² |
| D. | (1/12) Ml² |
| Answer» E. | |
| 281. |
The centre of percussion of the homogeneous rod of length ‘L’ suspended at the top will be |
| A. | L/2 |
| B. | L/3 |
| C. | 3L/4 |
| D. | 2L/3 |
| Answer» E. | |
| 282. |
A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of |
| A. | 1 m |
| B. | 2 m |
| C. | 3 m |
| D. | 4 m |
| Answer» C. 3 m | |
| 283. |
If a number of forces act simultaneously on a particle, it is possible |
| A. | Not a replace them by a single force |
| B. | To replace them by a single force |
| C. | To replace them by a single force through C.G. |
| D. | To replace them by a couple |
| Answer» C. To replace them by a single force through C.G. | |
| 284. |
If a rigid body is in equilibrium under the action of three forces, then |
| A. | These forces are equal |
| B. | The lines of action of these forces meet in a point |
| C. | The lines of action of these forces are parallel |
| D. | Both (B) and (C) above |
| Answer» E. | |
| 285. |
Moment of inertia of a hollow rectangular section as shown in the below figure about X-X axis, is |
| A. | (BD³/12) - (bd³/12) |
| B. | (DB³/12) - (db³/12) |
| C. | (BD³/36) - (bd³/36) |
| D. | (DB³/36) - (db³/36) |
| Answer» B. (DB³/12) - (db³/12) | |
| 286. |
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. | 30° |
| B. | 60° |
| C. | 90° |
| D. | 120° |
| Answer» E. | |
| 287. |
The motion of a particle round a fixed axis is |
| A. | Translatory |
| B. | Rotary |
| C. | Circular |
| D. | Translatory as well as rotary |
| Answer» D. Translatory as well as rotary | |
| 288. |
The acceleration of a particle moving with simple harmonic motion is __________ at the mean position. |
| A. | Zero |
| B. | Minimum |
| C. | Maximum |
| D. | None of these |
| Answer» B. Minimum | |
| 289. |
According to the law of moments, if a number of coplanar 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 | |
| 290. |
Varingon's theorem of moments states that if a number of coplanar 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. | |
| 291. |
When a person, on a bicycle, drives round a curve, he has to lean __________ to maintain equilibrium. |
| A. | Inward |
| B. | Outward |
| C. | Towards front |
| D. | Towards back |
| Answer» B. Outward | |
| 292. |
A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will |
| A. | Remain horizontal |
| B. | Slant up towards direction of pull |
| C. | Slant down towards direction of pull |
| D. | None of the above |
| Answer» D. None of the above | |
| 293. |
The maximum acceleration of a particle moving with simple harmonic motion is |
| A. | ω |
| B. | ωr |
| C. | ω²r |
| D. | ω/r |
| Answer» D. ω/r | |
| 294. |
In order to double the period of simple pendulum, the length of the string should be |
| A. | Halved |
| B. | Doubled |
| C. | Quadrupled |
| D. | None of these |
| Answer» D. None of these | |
| 295. |
A differential pulley block has larger and smaller diameters of 100 mm and 80 mm respectively. Its velocity ratio is |
| A. | 5 |
| B. | 10 |
| C. | 20 |
| D. | 40 |
| Answer» C. 20 | |
| 296. |
Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are |
| A. | 15 N and 5 N |
| B. | 20 N and 5 N |
| C. | 15 N and 15 N |
| D. | None of these |
| Answer» B. 20 N and 5 N | |
| 297. |
The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is |
| A. | mr²/3 |
| B. | 2mr²/3 |
| C. | 2mr²/5 |
| D. | 3mr²/5 |
| Answer» C. 2mr²/5 | |
| 298. |
The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is |
| A. | 50 mm |
| B. | 75 mm |
| C. | 87.5 mm |
| D. | 125 mm |
| Answer» D. 125 mm | |
| 299. |
The total motion possessed by a body, is called |
| A. | Impulsive force |
| B. | Mass |
| C. | Weight |
| D. | Momentum |
| Answer» E. | |
| 300. |
Moment of inertia is the |
| A. | Second moment of force |
| B. | Second moment of area |
| C. | Second moment of mass |
| D. | All of these |
| Answer» E. | |