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.
| 1. |
The moment of inertia of a square of side a about its base is a4/ 3. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
The unit of mass moment of inertia in S.I. units is kg-m2. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
The above figure shows the three coplaner forces P, Q and R acting at a point O. If these forces are in equilibrium, then |
| A. | [A]. |
| B. | [B]. |
| C. | [C]. |
| D. | [D]. |
| Answer» C. [C]. | |
| 4. |
Onejoule 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 | |
| 5. |
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 | |
| 6. |
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. | [A]. |
| B. | [B]. |
| C. | [C]. |
| D. | [D]. |
| Answer» C. [C]. | |
| 7. |
A block ot 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 |
| Answer» B. decrease | |
| 8. |
The above figure shows the two equal forces at right angles acting at a point. The value of force R acting along their bisector and in opposite direction is |
| A. | P/2 |
| B. | 2P |
| C. | [C]. |
| D. | [D]. |
| Answer» D. [D]. | |
| 9. |
A lift moves downwards with an acceleration of 9.8 m/s2. The pressure exerted by a man on the floor of the lift is zero. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 10. |
A newton is defined as the force while acting upon a mass of one kg, produces an acceleration of 1 m / s2 in the direction of which it acts. |
| A. | Yes |
| B. | No |
| Answer» B. No | |
| 11. |
The unit of energy in S.I. units is |
| A. | dyne |
| B. | watt |
| C. | kg-m |
| D. | joule |
| Answer» E. | |
| 12. |
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 | |
| 13. |
Two equal and opposite parallel forces whose lines of action are different form a couple. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 14. |
The centre of gravity of a right angled triangle lies at its geometrical centre. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 15. |
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) | |
| 16. |
The acceleration of a particle moving with simple harmonic motion is proportional to the displacement of the particle from the mean position. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 17. |
The resultant of two equal forces P making an angle θ, is given by |
| A. | 2 P sin θ /2 |
| B. | 2 P cos θ /2 |
| C. | 2 P tan θ /2 |
| D. | 2 P cot θ /2 |
| Answer» C. 2 P tan θ /2 | |
| 18. |
A block of mass m1, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m2, which moves vertically downwards as shown in the below figure. The tension in the string is |
| A. | A |
| B. | B |
| C. | C |
| D. | D |
| Answer» E. | |
| 19. |
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 | |
| 20. |
The angle of inclination with the vertical is __________ if the cyclist is running at a faster speed than that when he is running at a slower speed. |
| A. | more |
| B. | less |
| C. | Can't say |
| D. | None of these |
| Answer» B. less | |
| 21. |
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 | |
| 22. |
The periodic time (T) is given by(where ω = Angular velocity of particle in rad / s.) |
| A. | ω/2π |
| B. | 2π/ω |
| C. | 2π x ω |
| D. | π/ω |
| Answer» C. 2π x ω | |
| 23. |
In collision of elastic bodies, the coefficient of restitution is the ratio of the relative velocity after impact to the relative velocity before impact. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 24. |
The moment of inertia of a thin rod of mass m and length l,about an axis through its centre of gravity and perpendicular to its length is |
| A. | ml²/4 |
| B. | ml²/ 6 |
| C. | ml²/8 |
| D. | ml²/12 |
| Answer» E. | |
| 25. |
In actual machines, mechanical advantage is __________ velocity ratio. |
| A. | equal to |
| B. | less than |
| C. | greater than |
| D. | None of these |
| Answer» C. greater than | |
| 26. |
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 | |
| 27. |
The kinetic energy of a body __________ upon its mass and velocity. |
| A. | does not depend |
| B. | depends |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 28. |
When a particle moves along a straight path, there will be centripetal acceleration as well as tangential acceleration. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 29. |
Energy may be defined as the capacity of doing work. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 30. |
The centre of gravity of a rectangle lies at a point where its two diagonals meet each other. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 31. |
The negative acceleration is called retardation. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 32. |
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 | |
| 33. |
A newton is defined as the force while acting upon a mass of one kg, produces an acceleration of 1 m / s² in the direction of which it acts. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» B. No | |
| 34. |
If the efficiency of a lifting machine is kept constant, its velocity ratio is __________ propotional to its mechanical advantage. |
| A. | directly |
| B. | inversely |
| C. | Can't say |
| D. | None of these |
| Answer» B. inversely | |
| 35. |
An irregular body may have more than one centre of gravity. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 36. |
The centre of oscillation and centre of suspension for a compound pendulum are interchangeable. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 37. |
The moment of inertia of a solid sphere of mass m and radius r is |
| A. | 2mr2/3 |
| B. | 2mr2/5 |
| C. | mr2 |
| D. | mr2/2 |
| Answer» C. mr2 | |
| 38. |
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 | |
| 39. |
If the resultant of a number of forces acting on a body is zero, then the body will not be in equilibrium. |
| A. | Yes |
| B. | No |
| C. | Can't say |
| D. | None of these |
| Answer» C. Can't say | |
| 40. |
The polygon law of forces states that if a number of forces, acting simultaneously on a particle, be represented in magnitude and direction by the sides a polygon taken in order, then their resultant is represented in magnitude and direction by the closing side of the polygon, taken in opposite direction. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 41. |
The motion of the body from one extremity to the other is known as a beat. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |
| 42. |
A lifting machine lifts a load of 1000N through a distance of 0.2 m by means of an effort of 200N through a distance of 1m. This machine is an ideal one. |
| A. | Correct |
| B. | Incorrect |
| C. | Can't say |
| D. | None of these |
| Answer» B. Incorrect | |
| 43. |
The force which acts along the radius of a circle and directed towards the centre of the circle is known as centripetal force. |
| A. | True |
| B. | False |
| C. | Can't say |
| D. | None of these |
| Answer» B. False | |
| 44. |
The linear velocity of a body rotating at ω rad / s along a circular path of radius r is given by |
| A. | ω/r |
| B. | ω.r |
| C. | ω²/r |
| D. | ω².r |
| Answer» C. ω²/r | |
| 45. |
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through centre of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.) |
| A. | IP = IG + Ah2 |
| B. | IP = IG - Ah2 |
| C. | IP = IG / Ah2 |
| D. | IP = Ah2 / IG |
| Answer» B. IP = IG - Ah2 | |
| 46. |
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 | |
| 47. |
Which of the following is a scalar quantity? |
| A. | Force |
| B. | Speed |
| C. | Velocity |
| D. | Acceleration |
| Answer» C. Velocity | |
| 48. |
A science teacher claimed that Newton's third law of motion is involved while studying the motion of rockets. His statement is |
| A. | justified |
| B. | not justified |
| C. | Can't say |
| D. | None of these |
| Answer» B. not justified | |
| 49. |
In a framed structure, as shown in the below figure, the force in the member AC is numerically equal to the force in member BC. |
| A. | Correct |
| B. | Incorrect |
| C. | May be correct or incorrect |
| D. | Can't say |
| Answer» B. Incorrect | |
| 50. |
The amount by which the outer edge of the rail is raised, is known as super-elevation. |
| A. | Agree |
| B. | Disagree |
| C. | Can't say |
| D. | None of these |
| Answer» B. Disagree | |