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.
| 301. |
The maximum efficiency of a screw jack is |
| A. | (1 - sinφ)/(1 + sinφ) |
| B. | (1 + sinφ)/(1 - sinφ) |
| C. | (1 - tanφ)/(1 + tanφ) |
| D. | (1 + tanφ)/(1 - tanφ) |
| Answer» B. (1 + sinφ)/(1 - sinφ) | |
| 302. |
The matter contained in a body, is called |
| A. | Impulsive force |
| B. | Mass |
| C. | Weight |
| D. | Momentum |
| Answer» C. Weight | |
| 303. |
The impact between two lead spheres is approximately equal to an __________ impact. |
| A. | Elastic |
| B. | Inelastic |
| C. | Solid |
| D. | None of these |
| Answer» C. Solid | |
| 304. |
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. | |
| 305. |
Moment of inertia of a circular section about its diameter (d) is |
| A. | πd3/16 |
| B. | πd3/32 |
| C. | πd4/32 |
| D. | πd4/64 |
| Answer» E. | |
| 306. |
On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be |
| A. | Downwards at its upper end |
| B. | Upwards at its upper end |
| C. | Perpendicular to the wall at its upper end |
| D. | Zero at its upper end |
| Answer» E. | |
| 307. |
The slope on the road surface generally provided on the curves is known as |
| A. | Angle of friction |
| B. | Angle of repose |
| C. | Angle of banking |
| D. | None of these |
| Answer» D. None of these | |
| 308. |
Coulomb friction is the friction between |
| A. | Bodies having relative motion |
| B. | Two dry surfaces |
| C. | Two lubricated surfaces |
| D. | Solids and liquids |
| Answer» B. Two dry surfaces | |
| 309. |
Two coplanar couples having equal and opposite moments |
| A. | Balance each other |
| B. | Produce a couple and an unbalanced force |
| C. | Are equivalent |
| D. | Cannot balance each other |
| Answer» E. | |
| 310. |
If a number of forces are acting at a point, their resultant will be inclined at an angle 'θ' with the horizontal, such that |
| A. | tanθ = ΣH/ΣV |
| B. | tanθ = ΣV/ΣH |
| C. | tanθ = ΣV × ΣH |
| D. | tanθ = √(ΣV + ΣH) |
| Answer» C. tanθ = ΣV × ΣH | |
| 311. |
Two non-collinear parallel equal forces acting in opposite direction |
| A. | Balance each other |
| B. | Constitute a moment |
| C. | Constitute a couple |
| D. | Constitute a moment of couple |
| Answer» D. Constitute a moment of couple | |
| 312. |
Kinetic friction is the |
| A. | Tangent of angle between normal reaction and the resultant of normal reaction and the limiting friction |
| B. | Ratio of limiting friction and normal reaction |
| C. | The friction force acting when the body is just about to move |
| D. | The friction force acting when the body is in motion |
| Answer» E. | |
| 313. |
When trying to turn a key into a lock, following is applied |
| A. | Coplanar force |
| B. | Non-coplanar forces |
| C. | Moment |
| D. | Couple |
| Answer» E. | |
| 314. |
In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.) |
| A. | P = W tan (α - φ) |
| B. | P = W tan (α + φ) |
| C. | P = W tan (φ - α) |
| D. | P = W cos (α + φ) |
| Answer» C. P = W tan (φ - α) | |
| 315. |
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. | sinθ |
| B. | cosθ |
| C. | tanθ |
| D. | cosecθ |
| Answer» B. cosθ | |
| 316. |
The forces, whose lines of action are parallel to each other and act in the same directions, are known as |
| A. | Coplanar concurrent forces |
| B. | Coplanar non-concurrent forces |
| C. | Like parallel forces |
| D. | Unlike parallel forces |
| Answer» D. Unlike parallel forces | |
| 317. |
Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is |
| A. | π/16 (D² - d²) |
| B. | π/16 (D³ - d³) |
| C. | π/32 (D⁴ - d⁴) |
| D. | π/64 (D⁴ - d⁴) |
| Answer» E. | |
| 318. |
Which of the following is not the unit of energy? |
| A. | kg m |
| B. | kcal |
| C. | Watt |
| D. | Watt hours |
| Answer» D. Watt hours | |
| 319. |
Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.) |
| A. | tan(α + φ)/tanα |
| B. | tanα/tan (α + φ) |
| C. | tan(α - φ)/tanα |
| D. | None of these |
| Answer» C. tan(α - φ)/tanα | |
| 320. |
The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction.) |
| A. | α = 45° + φ/2 |
| B. | α = 45° - φ/2 |
| C. | α = 90° + φ |
| D. | α = 90° - φ |
| Answer» C. α = 90° + φ | |
| 321. |
The overturning of a vehicle on a level circular path can be avoided if the velocity of vehicle is __________ √(gra/h) |
| A. | Less than |
| B. | Greater than |
| C. | Equal to |
| D. | None of these |
| Answer» B. Greater than | |
| 322. |
Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is |
| A. | bh3/4 |
| B. | bh3/8 |
| C. | bh3/12 |
| D. | bh3/36 |
| Answer» E. | |
| 323. |
The unit of work or energy in S.I. units is |
| A. | Newton |
| B. | Pascal |
| C. | Watt |
| D. | Joule |
| Answer» E. | |
| 324. |
The unit of moment of inertia of an area is |
| A. | kg-m2 |
| B. | kg-m-s2 |
| C. | kg/m2 |
| D. | m4 |
| Answer» E. | |
| 325. |
If the number of pulleys in a system is equal to its velocity ratio, then it is a __________ system of pulleys. |
| A. | First |
| B. | Second |
| C. | Third |
| D. | None of these |
| Answer» C. Third | |
| 326. |
The C.G. of a solid hemisphere lies on the central radius 3r |
| A. | At distance — from the plane base 3r |
| B. | At distance — from the plane base 3r |
| C. | At distance — from the plane base 3r |
| D. | At distance — from the plane base |
| Answer» E. | |
| 327. |
A force is completely defined when we specify |
| A. | Magnitude |
| B. | Direction |
| C. | Point of application |
| D. | All of the above |
| Answer» E. | |
| 328. |
In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC. |
| A. | Half |
| B. | Equal to |
| C. | Double |
| D. | None of these |
| Answer» B. Equal to | |
| 329. |
Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is ________ than that about X-X axis. |
| A. | Two times |
| B. | Same |
| C. | Half |
| D. | None of these |
| Answer» B. Same | |
| 330. |
The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body,m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.) |
| A. | [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)² |
| B. | [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)² |
| C. | [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²) |
| D. | [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²) |
| Answer» B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)² | |
| 331. |
Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one |
| A. | Ellipse |
| B. | Hyperbola |
| C. | Parabola |
| D. | Circle |
| Answer» C. Parabola | |
| 332. |
Dynamic friction as compared to static friction is |
| A. | Same |
| B. | More |
| C. | Less |
| D. | May be less of more depending on nature of surfaces and velocity |
| Answer» D. May be less of more depending on nature of surfaces and velocity | |
| 333. |
The velocity ratio for the third system of pulleys is |
| A. | n |
| B. | n² |
| C. | 2n |
| D. | 2n - 1 |
| Answer» E. | |
| 334. |
If n = number of members and y = number of joints, then for a perfect frame, n = ? |
| A. | 1/2 |
| B. | 2/3 |
| C. | 3/2 |
| D. | 2/4 |
| Answer» C. 3/2 | |
| 335. |
The angle of inclination of the plane at which the body begins to move down the plane, is called |
| A. | Angle of friction |
| B. | Angle of repose |
| C. | Angle of projection |
| D. | None of these |
| Answer» B. Angle of repose | |
| 336. |
If ‘P’ is the force acting on the body, ‘m’ is the mass of the body and ‘a’ is the acceleration of the body, then according to Newton's second law of motion, |
| A. | P + m.a = 0 |
| B. | P - m.a = 0 |
| C. | P × m.a = 0 |
| D. | P/m.a = 0 |
| Answer» C. P × m.a = 0 | |
| 337. |
Which of the following do not have identical dimensions? |
| A. | Momentum and impulse |
| B. | Torque and energy |
| C. | Torque and work |
| D. | Moment of a force and angular momentum |
| Answer» E. | |
| 338. |
Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane. |
| A. | Meet |
| B. | Do not meet |
| C. | Either ‘A’ or ‘B’ |
| D. | None of these |
| Answer» C. Either ‘A’ or ‘B’ | |
| 339. |
A trolley wire weighs 1.2 kg per meter length. The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is 1500 kg find the dip in the middle of the span |
| A. | 2.5 cm |
| B. | 3.0 cm |
| C. | 4.0 cm |
| D. | 5.0 cm |
| Answer» D. 5.0 cm | |
| 340. |
In determining stresses in frames by methods of sections, the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more than |
| A. | Two members with unknown forces of the frame |
| B. | Three members with unknown forces of the frame |
| C. | Four members with unknown forces of the frame |
| D. | Three members with known forces of the frame |
| Answer» C. Four members with unknown forces of the frame | |
| 341. |
In ideal machines |
| A. | Mechanical advantage is greater than velocity ratio |
| B. | Mechanical advantage is equal to velocity ratio |
| C. | Mechanical advantage is less than velocity ratio |
| D. | Mechanical advantage is unity |
| Answer» C. Mechanical advantage is less than velocity ratio | |
| 342. |
In actual machines |
| A. | Mechanical advantage is greater than velocity ratio |
| B. | Mechanical advantage is equal to velocity ratio |
| C. | Mechanical advantage is less than velocity ratio |
| D. | Mechanical advantage is unity |
| Answer» D. Mechanical advantage is unity | |
| 343. |
The range of a projectile is maximum, when the angle of projection is |
| A. | 30° |
| B. | 45° |
| C. | 60° |
| D. | 90° |
| Answer» C. 60° | |
| 344. |
The time of flight (t) of a projectile on a horizontal plane is given by |
| A. | t = 2u. sinα/g |
| B. | t = 2u. cosα/g |
| C. | t = 2u. tanα/g |
| D. | t = 2u/g.sinα |
| Answer» B. t = 2u. cosα/g | |
| 345. |
The centre of gravity of a right circular solid cone is at a distance of _________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.) |
| A. | h/2 |
| B. | h/3 |
| C. | h/4 |
| D. | h/6 |
| Answer» D. h/6 | |
| 346. |
A machine having an efficiency greater than 50%, is known as |
| A. | Reversible machine |
| B. | Non-reversible machine |
| C. | Neither reversible nor non-reversible machine |
| D. | Ideal machine |
| Answer» B. Non-reversible machine | |
| 347. |
The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.) |
| A. | P = mW - C |
| B. | P = m/W + C |
| C. | P = mW + C |
| D. | P = C - mW |
| Answer» D. P = C - mW | |
| 348. |
The acceleration of a particle moving with simple harmonic motion, at any instant is given by |
| A. | ω.y |
| B. | ω2.y |
| C. | ω2/y |
| D. | ω3.y |
| Answer» C. ω2/y | |
| 349. |
The minimum force required to slide a body of weight 'W' on a rough horizontal plane is |
| A. | W sinθ |
| B. | W cosθ |
| C. | W tanθ |
| D. | None of these |
| Answer» D. None of these | |
| 350. |
When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is |
| A. | Iω |
| B. | Iω2 |
| C. | 0.5 Iω |
| D. | 0.5 Iω2 |
| Answer» E. | |