McqMate
| 1. |
A point 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. The locus of the path traced by the point will be a |
| A. | Cycloid |
| B. | Hyperbola |
| C. | Circle |
| D. | Involute |
| E. | Ellipsc |
| Answer» D. Involute | |
| 2. |
A cannon of barrel length 2 m fires a shell of weight 6 kg with a muzzle velocity of 50 m/sec. The force exerted by the gases on the shell would be approximately |
| A. | 76 t |
| B. | 19 t |
| C. | 152 t |
| D. | 8.5 t |
| E. | 38 t |
| Answer» E. 38 t | |
| 3. |
According to the principle of transmissibility of forces, when a force acts upon a body ; its effect is |
| A. | Minimum when it acts at C.G. of the body |
| B. | Maximum when it acts at C.G. of the body |
| C. | Different at different points of body |
| D. | Same at every point in its line of action |
| E. | None of the above |
| Answer» D. Same at every point in its line of action | |
| 4. |
Using force, length and time as fundamental quantities, the dimensions of mass would be |
| A. | FL-2T+2 |
| B. | FL-1T+2 |
| C. | FL-1T+1 |
| D. | 107 dynes |
| E. | FL-2T+1 |
| Answer» B. FL-1T+2 | |
| 5. |
Minimum horsepower of pump required for filling 50m3 water tank, 20 metres high from ground in 30 minutes by lifting water from a well 5 metres below the ground level is |
| A. | 5.45 KW |
| B. | 7.5 KW |
| C. | 6.81 KW |
| D. | Tapered bearing |
| E. | 66.8 KW |
| Answer» C. 6.81 KW | |
| 6. |
A bob of simple pendulum oscillating in air is made to oscillate in oil. The time period will |
| A. | Increase |
| B. | Decrease |
| C. | Not change |
| D. | Decrease but reduction depends on viscosity of oil |
| E. | None of the above |
| Answer» A. Increase | |
| 7. |
A weight of 4.9 N rests on a rough horizontal floor that has a coefficient of friction of 0.5. If g = 9.8 m/s2, the smallest horizontal force that gives the weight an acceleration of 4m/s2 is most nearly |
| A. | 2.5 N |
| B. | 3 N |
| C. | 2 N |
| D. | 4.5 N |
| E. | 4.9 N |
| Answer» D. 4.5 N | |
| 8. |
Two forces of 6 and 8 kg act at right angles to each other, the resultant force will be |
| A. | 100 |
| B. | 28 |
| C. | 41 |
| D. | 14 |
| E. | 10 |
| Answer» E. 10 | |
| 9. |
The resultant of coplaner parallel forces is found by load line diagram, while the position is found by |
| A. | link polygen |
| B. | funicular polygon |
| C. | string polygon |
| D. | any of the above |
| E. | 107 dynes |
| Answer» D. any of the above | |
| 10. |
The units of moment of inertia of an area are |
| A. | kg - m |
| B. | m4 |
| C. | kg - m4 |
| D. | kg - m3 |
| E. | (kg - m)2 |
| Answer» B. m4 | |
| 11. |
Te dimensions of frequency are |
| A. | 107 dynes |
| B. | MLT |
| C. | L-1 |
| D. | T-1 |
| E. | L-1T-1 |
| Answer» D. T-1 | |
| 12. |
When a train is rounding a curve to prevent side thrust on the wheel flanges of cars |
| A. | Opposite thrust is created to counter balance this thrust |
| B. | Guide rail sections are provided to take care of thrust |
| C. | Thrust eliminators are provided in the train |
| D. | Outside rails are realised |
| E. | Rail section is made thick on curvature |
| Answer» D. Outside rails are realised | |
| 13. |
Instantaneous centre for a rolling wheel on a straight track will be at |
| A. | 107 dynes |
| B. | A |
| C. | B |
| D. | C |
| E. | D |
| Answer» E. D | |
| 14. |
A 100 kg flywheel having a radius of gyration of 1 m is rotating at 1000 rpm. The angular momentum of the flywheel about its axis of rotation, in kg m2/s is |
| A. | 1000 |
| B. | 107 dynes |
| C. | 10,000 |
| D. | 10,470 |
| E. | 5235 |
| Answer» D. 10,470 | |
| 15. |
M.I. of sphere of 0.5 m radius about a mutually perpendicular axis (Z-axis) when its M.I. about X-axis and Y-axis are 50 kgm2 and 50 kgm2 is |
| A. | 50 Kgm2 |
| B. | Tapered bearing |
| C. | 100 Kgm2 |
| D. | 25 Kgm2 |
| E. | 12.5 Kgm2 |
| Answer» A. 50 Kgm2 | |
| 16. |
Three forces A, B and C of magnitudes 8 N, 12 N and 20 N acting on a particle are in equilibrim. It can be concluded that |
| A. | 107 dynes |
| B. | B and C act in opposite directions |
| C. | one of the forces in non-coplaner |
| D. | A and B act at 90? |
| E. | one of the forces is non-concurrent |
| Answer» B. B and C act in opposite directions | |
| 17. |
A cylindrical bar 10 metres long elongates 0.1 mm under a load. The strain in the material of the bar will be |
| A. | 10--4 |
| B. | 10--5 |
| C. | 10--7 |
| E. | All of the above |
| Answer» B. 10--5 | |
| 18. |
The limiting force of fiction is |
| A. | The friction force acting on a body when it is in motion |
| B. | The value of friction force which stops the movement of the body |
| C. | The value of friction force which cannot exceed under a situation |
| D. | The friction force acting when the body is just about to move |
| E. | Double of the normal friction |
| Answer» D. The friction force acting when the body is just about to move | |
| 19. |
If a solid sphere rolls on a horizontal surface, then the ratio of its rotational kinetic energy to its total kinetic energy is |
| A. | 1 ; 7 |
| B. | 3 ; 7 |
| C. | 107 dynes |
| D. | 4 ; 7 |
| E. | 2 ; 7 |
| Answer» E. 2 ; 7 | |
| 20. |
Which of the following is scalar quantity |
| A. | Area of triangle |
| B. | Displacement of a particle |
| C. | Acceleration of car |
| D. | Force of friction |
| E. | Velocity a gear |
| Answer» A. Area of triangle | |
| 21. |
The gravitational field at the surface of the moon is one sixth of that at the surface of the earth. A 72 kg man weighs on the surface of the moon |
| A. | 137.7 N |
| B. | 250 |
| C. | 72 N |
| D. | 420 N |
| E. | 117.7 N |
| Answer» E. 117.7 N | |
| 22. |
If three non-parallel forces hold a rigid body in equilibrium, they must |
| A. | be non-coneurrent |
| B. | be colinear |
| C. | 107 dynes |
| D. | be equal in magnitude |
| E. | be concurrent |
| Answer» E. be concurrent | |
| 23. |
A stone dropped from a baloon that was ascending at the rate of 30 ft/sec, reaches ground after 10 secs. The height of the baloon where stone was dropped was |
| A. | 3420 ft |
| B. | 107 dynes |
| C. | 4520 ft |
| D. | 2310 ft |
| E. | 1310 ft |
| Answer» E. 1310 ft | |
| 24. |
A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is |
| A. | 107 dynes |
| B. | i + j + k |
| C. | 2i + 3j |
| D. | zero |
| E. | i - j - k |
| Answer» B. i + j + k | |
| 25. |
An iron sphere of mass 30 kg and an aluminium sphere of mass 10 kg, both having the same diameter are dropped vertically from a cliff. When they are 10 metrs from the ground, they have identical |
| A. | Accelerations |
| B. | Momenta |
| C. | Kinetic energies |
| D. | Potential energies |
| E. | All of the above |
| Answer» A. Accelerations | |
| 26. |
In actual machines |
| A. | Mechanical advantage is unity |
| B. | Mechanical advantage is greater than velocity ratio |
| C. | Mechanical advantage is less than velocity ratio |
| D. | Mechanical advantage is less than unity |
| E. | Mechanical advantage is equal to velocity ratio |
| Answer» C. Mechanical advantage is less than velocity ratio | |
| 27. |
The polar moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter of 6 cm will be |
| A. | 137.5 cm4 |
| B. | 107 dynes |
| C. | 275 cm4 |
| D. | 550 cm4 |
| E. | 1100 cm4 |
| Answer» C. 275 cm4 | |
| 28. |
Which of the following is not a unit of energy? |
| A. | Joule |
| B. | kW |
| C. | N-m |
| D. | Electron volt |
| E. | Watt-hour |
| Answer» B. kW | |
| 29. |
If a gymnast sitting on a rotating stool, with his arms outstretched suddenly lowers his arm |
| A. | the angular velocity will remain constant |
| B. | the angular momentum will increase |
| C. | the angular velocity will decrease |
| D. | his moment of inertia will decrease |
| E. | 107 dynes |
| Answer» D. his moment of inertia will decrease | |
| 30. |
The y-coordinate of the centroid of the area bounded by the x-axis, the line x = 3 and the parabola y = x2 will be |
| A. | 2.7 |
| B. | 2.55 |
| C. | 107 dynes |
| D. | 2.6 |
| E. | 2.65 |
| Answer» A. 2.7 | |
| 31. |
Work done by a body of mass 100 kg moving along a circular path of radius 2 m with a uniform velocity of 10 m/sec is |
| A. | 5000 J |
| B. | 2500 J |
| C. | 509.68 J |
| D. | None of the above |
| E. | Tapered bearing |
| Answer» D. None of the above | |
| 32. |
A stone is thrown up from the foot of tower 50 m high with a velocity of 25 m/sec and at the same time another stone is dropped from the top of tower, the two stones will cross each other after |
| A. | 3 sec |
| B. | 5 sec |
| C. | 4 sec |
| D. | 4.5 sec |
| E. | 2 sec |
| Answer» E. 2 sec | |
| 33. |
The moment of a force is |
| A. | Equivalent to the algebraic sum of the moments acting on a body |
| B. | Equivalent to the sum of horizontal as well as vertical components of the moments on a body |
| C. | Equivalent to the sum of the moments acting on a body |
| D. | Equivalent to the sum of horizontal components of the moments on a body |
| E. | Equivalent to the vertical sum of the moments acting on a body |
| Answer» A. Equivalent to the algebraic sum of the moments acting on a body | |
| 34. |
Which of the following statement is false? |
| A. | The potential energy of a particle has the form Ep = k2x. The force acting on the particle is constant (k is a constant) |
| B. | The linear velocity of bodies near the earth's equator (due to rotation of earth) is more than the velocities of particles at the pole |
| C. | 107 dynes |
| D. | A cyclist should move along a zig-zag path while ascending a steep hill |
| E. | The density of milk decreases when cream is taken out of milk |
| Answer» E. The density of milk decreases when cream is taken out of milk | |
| 35. |
A gun fires shell with a muzzle velocity of 600 m/sec. The angle of inclination of the gun so that the shell hits a target at a distance of 32 km at level 100 m higher than the gun would be approximately? |
| A. | 60? |
| B. | 45? |
| C. | 30? |
| D. | 15? |
| E. | Either of (A) and (C) |
| Answer» E. Either of (A) and (C) | |
| 36. |
A crate weighing 40 kg rests on a cart moving with an acceleration W. The coefficient of friction between the cart and the crate is |
| A. | 2.45 m/sec2 |
| B. | 4.00 m/sec2 |
| C. | 0.25 m/sec2 |
| D. | 4.16 m/sec2 |
| E. | 1.25 m/sec2 |
| Answer» A. 2.45 m/sec2 | |
| 37. |
A flywheel 200 cm in diameter is rotating at 100 rpm. A point one the rim of the flywheel will not have |
| A. | angular velocity |
| B. | centripetal acceleration |
| C. | tangential acceleration |
| D. | all of the above |
| E. | 107 dynes |
| Answer» A. angular velocity | |
| 38. |
A man wished to move a block of size 3 m x 3 m weighing 80 kg. The coefficient of friction between the block and the ground is 0.27. Which of the following methods should be used? |
| A. | Slide along the ground by pushing |
| B. | Ask for cranes |
| C. | Pull it |
| D. | Tip it over |
| E. | Lift it bodily |
| Answer» D. Tip it over | |
| 39. |
The centroid of a triangle is at the inter-section of |
| A. | perpendicular bisectors |
| B. | 107 dynes |
| C. | base and perpendicular from opposite vertex |
| D. | perpendiculars down from the corners |
| E. | medians |
| Answer» E. medians | |
| 40. |
If there are 3 pulleys in the first system, then the velocity ratio of this system will be |
| A. | 8 |
| B. | 2 |
| C. | 4 |
| D. | 107 dynes |
| E. | 6 |
| Answer» A. 8 | |
| 41. |
A locomotive of weight 100 tonnes is attached to train of wagons weighing 1000 tonnes. The locomotive pulls the wagons with a constant velocity of 36 km/hour. When the coupling between the train and wagons breaks, the wagons roll on 95 m in 10 sec. The distance between the locomotive and the wagons at this instant assuming that the forces acting on the train are unaltered would be |
| A. | 0.36 m |
| B. | 0.44 m |
| C. | 0.77 m. |
| D. | 0.5 m |
| E. | 0.66 m |
| Answer» D. 0.5 m | |
| 42. |
A dash pot consists of a cylinder 10 cm in diameter in which slides a piston 12 cm long having a radial clearance of 1 mm. The cylinder is filled with oil having a viscosity of 1 poise. What will be the resistance offered by the piston to sliding with a velocity of 3 cm/sec |
| A. | 1090 kg |
| B. | 100 kg |
| C. | 10900 kg |
| D. | 10 kg |
| E. | 50 kg |
| Answer» C. 10900 kg | |
| 43. |
A roller coaster reaches a velocity of 20 m/s at a location where the radius of curvature is 40 m. Calculate the acceleration in m/s2? |
| A. | 10 |
| B. | 9 |
| C. | 11 |
| D. | 8 |
| E. | 107 dynes |
| Answer» A. 10 | |
| 44. |
Rain drops (assumed to be spherical) of radii R1, 2R1, 3R, 4R, |
| A. | all of them will be zero |
| B. | all of them will be same |
| C. | drops of radius R will be maximum |
| D. | drops of radius R will be minimum |
| E. | 107 dynes |
| Answer» D. drops of radius R will be minimum | |
| 45. |
A rigid body is in equilibrium under the action of these forces when |
| A. | These forces are equal |
| B. | The lines of action of these forces are parallel |
| C. | The lines of action of these forces meet in a point |
| D. | (A) and (B) above |
| E. | (B) and (C) above |
| Answer» E. (B) and (C) above | |
| 46. |
The coefficient of static friction will have the highest value in case of |
| A. | Mild steel and mild steel |
| B. | Mild steel and copper |
| C. | Cast iron and steel |
| D. | Rope and wood |
| E. | Any of the above loctions |
| Answer» D. Rope and wood | |
| 47. |
A wheel accelerates from rest with an acceleration of 6 rad/sec2. How many revolutions are experienced in 4 seconds? |
| A. | 12.36 |
| B. | 25.6 |
| C. | 9.82 |
| D. | 107 dynes |
| E. | 7.64 |
| Answer» E. 7.64 | |
| 48. |
The moment of inertia of a body does not depend upon |
| A. | The angular velocity of the body |
| B. | Mass of the body |
| C. | The distribution of mass in the body |
| D. | The axis of rotation of the body |
| E. | None of the above |
| Answer» A. The angular velocity of the body | |
| 49. |
The tension in the wire rope supporting a lift moving with a uniform velocity |
| A. | Is more when the lift is moving upwards |
| B. | Is more when the lift is moving downwards |
| C. | Is less when the lift is moving down-wards |
| D. | Is less when the lift is moving upwards |
| E. | Remains constant irrespective of the lift movement |
| Answer» E. Remains constant irrespective of the lift movement | |
| 50. |
A machine requires an effort of 10 kg to lift a load of 250 kg and an effort of 13 kg for a load of 400 kg. The effort required to lift a load of 500 kg will be |
| A. | 25 kg |
| B. | 107 dynes |
| C. | 15 kg |
| D. | 35 kg |
| E. | 45 kg |
| Answer» C. 15 kg | |
| 51. |
A flywheel weighs 400 kg and has a radius of gyration of 30 cm about its axis of rotation. It is mounted on a shaft subjected to a moment of 40 kgm. If the flywheel starts from restits speed after 3 seconds wil be |
| A. | 10.9 rad/sec |
| B. | 19.0 rad/sec |
| C. | 51.2 rad/sec |
| D. | 3.33 rad/sec |
| E. | 16.35 rad/sec |
| Answer» D. 3.33 rad/sec | |
| 52. |
The satellite moves in a circle around the earth. The radius of this circle is equal to one-half the radius of the moons orbit. The satellite will complete one revolution in |
| A. | 1 lunar month |
| C. | 2-3/4 lunar month |
| D. | 2-2/3 lunar month |
| E. | None of the above |
| Answer» E. None of the above | |
| 53. |
In a tug of war, five men pull a rope to the left at A and six moen pull the rope at B. A weight of 5 kg is hung vertically from the centre of the rope. In order that the rope AB be horizontal |
| A. | the force applied on A must be equal to that on B |
| B. | at least one man on side B should be removed |
| C. | infinite force will be required to be applied at both ends |
| D. | the force required on A must not be equal to that on B |
| E. | 107 dynes |
| Answer» C. infinite force will be required to be applied at both ends | |
| 54. |
For the maximum range of a projectile the angle of projection should be |
| A. | 90? |
| B. | 30? |
| C. | 22 |
| D. | 45? |
| E. | 15? |
| Answer» D. 45? | |
| 55. |
In a torsion pendulum |
| A. | The body attached to the lower end of wire or rod must be elastic |
| B. | The clamp must be elastic |
| C. | The clamp must be elastic |
| D. | (A) and (B) above |
| E. | (A), (B) and (C) together |
| Answer» C. The clamp must be elastic | |
| 56. |
A train moving at 60 kilometers per hour is struck by a bullet moving 1000 m/sec at right angles to the train. The direction with which the bullet appears to strike the train would be |
| A. | 75? |
| B. | 60? |
| C. | 22 |
| D. | 30? |
| E. | 45? |
| Answer» E. 45? | |
| 57. |
A cable is supported at A and B, in which B is higher than A. The tension in the cable will be maximum at |
| A. | A |
| B. | A and B |
| C. | C |
| D. | B |
| E. | 107 dynes |
| Answer» D. B | |
| 58. |
A column has its equivalent length equal to its length in case of |
| A. | one end fixed, other free |
| B. | both ends hinged |
| C. | one end hinged, other free |
| D. | 107 dynes |
| E. | both end fixed |
| Answer» B. both ends hinged | |
| 59. |
A particle in SHM while passing through mean position will have |
| A. | maximum kinetic energy and maximum potential energy |
| B. | 107 dynes |
| C. | maximum kinetic energy and minimum potential energy |
| D. | average kinetic energy and average potential energy. |
| E. | minimum kinetic energy and maximum potential energy |
| Answer» C. maximum kinetic energy and minimum potential energy | |
| 60. |
A jet of water of cross-sectional area 20 sq. cm impinges on a plate at an angle of 60? with a velocity of 10 m/sec. Neglecting the friction between the jet and plate (density of water 1000/9.81 kgm-1 sec2 per cubic meter), the force exerted by the jet on the plate would be in the range |
| A. | 15 - 20 kg |
| B. | 20 - 25 kg |
| C. | 5 - 10 kg |
| D. | 25 - 30 kg |
| E. | 10 - 15 kg |
| Answer» A. 15 - 20 kg | |
| 61. |
A flywheel starting from rest and accelerating uniformly performs 25 revolutions in 5 sec. Its angular velocity in rpm after 10 seconds would be |
| A. | 50 rpm |
| B. | 20 rpm |
| C. | 25 rpm |
| D. | 60 rpm |
| E. | 45 rpm |
| Answer» B. 20 rpm | |
| 62. |
The dimensions of gravitational constant G |
| A. | MLT-2 |
| B. | M-1L3T-2 |
| C. | Ellipsc |
| D. | ML2T-1 |
| E. | MLT-1 |
| Answer» B. M-1L3T-2 | |
| 63. |
The coefficient of friction is |
| A. | The tangent of the angle between the normal reaction and direction of limiting friction |
| B. | The tangent of the angle between the normal reaction and the resultant of the normal reaction and the limiting friction |
| C. | The tangent of the angle of the net resultant force with the direction of motion |
| D. | The tangent of the angle between the horizontal plane and the resultant force |
| E. | The angle between the normal reaction and the resultant of normal reaction and the limiting friction |
| Answer» A. The tangent of the angle between the normal reaction and direction of limiting friction | |
| 64. |
The maximum frictional force which comes into play when a body just begins to slide over the surface of another body is known as |
| A. | Kinetic friction |
| B. | Rolling friction |
| C. | Dynamic friction |
| D. | Limiting friction |
| E. | Sliding friction |
| Answer» D. Limiting friction | |
| 65. |
In planetary motion |
| A. | The total angular momentum remains constant |
| B. | The total linear momentum remains constant |
| C. | The total linear momentum is zero |
| D. | The total angular momentum is zero |
| E. | None of the above |
| Answer» A. The total angular momentum remains constant | |
| 66. |
The moment of inertia of a semi-circle of radius r with respect to a centroidal axis parallel to the diameter is |
| A. | 0.33 r2 |
| B. | 0.11 r2 |
| C. | 0.055 r2 |
| D. | 0.05 r2 |
| E. | 0.22 r2 |
| Answer» B. 0.11 r2 | |
| 67. |
A satellite orbits the earth 200 km above the surface. What speed, in m/s, is necessary for a circular orbit? The radius of the earth is 6400 km and g = 9.2 m/s2 |
| A. | 7200 |
| B. | 6600 |
| C. | 7800 |
| D. | 6000 |
| E. | 107 dynes |
| Answer» C. 7800 | |
| 68. |
The curve of a catenary by nature is |
| A. | hyperbolic |
| B. | ellipse |
| C. | 107 dynes |
| D. | circular |
| E. | parabolic |
| Answer» E. parabolic | |
| 69. |
The power of a locomotive is 315 kW and the total weight of the train is 2000 kN. If the track resistance is qN per kN, the maximum speed that the locomotive can attain on level track will be |
| A. | 103 kmph |
| B. | 83 kmph |
| C. | 107 dynes |
| D. | 43 kmph |
| E. | 63 kmph |
| Answer» E. 63 kmph | |
| 70. |
If for power transmission a gear train consisting of 11 gears is used, then |
| A. | the motion of driver and follower will be in the same direction |
| B. | The motion of driver and follower will be in the opposite direction |
| C. | either of (A) or (B) above |
| D. | None of the above |
| E. | 107 dynes |
| Answer» A. the motion of driver and follower will be in the same direction | |
| 71. |
A body weighing one tonne falls through 8 cm on to a spring of stiffness 500 kg/cm the spring will be compressed through |
| A. | 8 cm |
| B. | 6 cm |
| C. | 4 cm |
| D. | 10 cm |
| E. | 12 cm |
| Answer» A. 8 cm | |
| 72. |
What is the total acceleration of a point on the rim of a flywheel 4 mts in diameter 0.6 see after it has started from rest if it accelarates uniformly from rest to 2000 rpm in 20 secs. |
| A. | 68.9 mts/sec2 |
| B. | 102.6 mts/sec2 |
| C. | 78.94 mts/sec2 |
| D. | 107 dynes |
| E. | 33.2 mts/sec2 |
| Answer» C. 78.94 mts/sec2 | |
| 73. |
Two identical weights are dropped simultaneously, one on water and the other in glycerine. Which of the following statement is correct? |
| A. | The weight will settle slowly in water but quickly in glycerine |
| B. | The weights will take same time to settle |
| C. | The water level will fall but glycerine level will rise |
| D. | The weight will settle quickly in water but slowly in glycerine |
| E. | 107 dynes |
| Answer» D. The weight will settle quickly in water but slowly in glycerine | |
| 74. |
A wound watch spring possesses energy in the form of |
| A. | Mechanical potential energy |
| B. | Kinetic energy |
| C. | Spring energy |
| D. | Potential energy |
| E. | Both potential and kinetic energy |
| Answer» A. Mechanical potential energy | |
| 75. |
The earth's gravitational force field is said to be conservative force field because |
| A. | The work acted by the earth's gravitational field on a particle is independent on the path traced out by the particle |
| B. | The work acted by the erth's gravitational field will cause same path for all particles irrespective of their mass |
| C. | The direction of gravitational force is fixed |
| D. | The gravitational field has only single directional component always acting normal to a body |
| E. | The value of gravitational force rise is fixed |
| Answer» A. The work acted by the earth's gravitational field on a particle is independent on the path traced out by the particle | |
| 76. |
A body is vibrating with simple harmonic motion of aplitude 5 cm frequency 10 vibrations per second. The maximum value of velocity in cm/s will be |
| A. | 3.14 cm/s |
| B. | 314 cm/s |
| C. | 3140 cm/s |
| D. | 31.4 cm/s |
| E. | 31400 cm/s |
| Answer» B. 314 cm/s | |
| 77. |
The statement that the sum of the kinetic and potential energies of a particle in the earth's gravitational field is constant is known as |
| A. | Principle of conservation of mechanical energy |
| B. | Law of gravitation |
| C. | Newton's law |
| D. | Principle of conservation of momentum |
| E. | Law of nature |
| Answer» A. Principle of conservation of mechanical energy | |
| 78. |
Which of the following is an example of a projectile? |
| A. | Launching of a satellite |
| B. | Taking off of an aircraft |
| C. | Lifting of a balloon |
| D. | Throwing of a cricket ball by a player |
| E. | None of the above |
| Answer» D. Throwing of a cricket ball by a player | |
| 79. |
A grinding wheel is rotating at 3000 rpm. When the switch is turned off the wheel stops in 10 seconds. The uniform deceleration of the wheel was |
| A. | 1 rad/s2 |
| B. | 31.4 rad/s2 |
| C. | 4 rad/s2 |
| D. | 62.8 rad/s2 |
| E. | 10.4 rad/s2 |
| Answer» B. 31.4 rad/s2 | |
| 80. |
The time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m is equal to |
| A. | 8 sec |
| B. | 2 sec |
| C. | 4 sec |
| D. | 10 sec |
| E. | 6 sec |
| Answer» C. 4 sec | |
| 81. |
If span is 150 mts and sag is 10 ft of a cable carrying a load of 3200 kg per horizontal metre then tension of ends is |
| A. | 104,000 kg |
| B. | 107 dynes |
| C. | 1200,000 kg |
| D. | 932,000 kg |
| E. | 584,000 kg |
| Answer» D. 932,000 kg | |
| 82. |
A cube of wood supporting 200 gm mass just floats in water. When the mass is removed, the cube rises by 2 cm the side of the cube will be |
| A. | 5 cm |
| B. | 10 cm |
| C. | 12.5 cm |
| D. | 20 cm |
| E. | 15 cm |
| Answer» A. 5 cm | |
| 83. |
The principle of conservation of energy cannot be applied in case of |
| A. | Flow of water in a pipe |
| B. | A particle moving in gravitational field |
| C. | Frictional movement of a particle over a surface |
| D. | Frictionless movement of a principle over a surface |
| E. | Simple pendulum |
| Answer» C. Frictional movement of a particle over a surface | |
| 84. |
A ball weighing 250 gm is thrown vertically upwards with a velocity of 980 cm/sec. The time that the ball will take to return back to earth would be |
| A. | 1 sec |
| B. | 4 sec |
| C. | 2 sec |
| D. | 5 sec |
| E. | 3 sec |
| Answer» C. 2 sec | |
| 85. |
In above problem the resultant reaction between the cannon and the ground would be |
| A. | 1146 tonnes |
| B. | 573 tonnes |
| C. | 286.5 tonnes |
| D. | 50 tonnes |
| E. | 145 tonnes |
| Answer» B. 573 tonnes | |
| 86. |
ML2T-2 could be the dimension of all of the following EXCEPT |
| A. | Energy |
| B. | Work |
| C. | 107 dynes |
| D. | Power |
| E. | Torque |
| Answer» D. Power | |
| 87. |
Femtometre x Nanometer x (Gigametre)2 = |
| A. | Micrometre |
| B. | Metre |
| C. | Picometre |
| D. | 107 dynes |
| E. | Megametre |
| Answer» A. Micrometre | |
| 88. |
When horizontal range of a projectile equal to the distance through which projectile will rise, then the angle of projection of the particle will be equal to |
| A. | 36? |
| B. | 24? |
| C. | 48? |
| D. | 107 dynes |
| E. | 76? |
| Answer» E. 76? | |
| 89. |
The excape velocity on the surface of the earth is |
| A. | 11.2 km/s |
| B. | 2.2 km/s |
| C. | 5.6 km/s |
| D. | 4.4 km/s |
| E. | 1 km/s |
| Answer» E. 1 km/s | |
| 90. |
The centre of percussions is |
| A. | The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis |
| B. | The point of application of the resultant of gravity and buoyancy forces of the body |
| C. | The same as centre of gravity |
| D. | The metacentre of the body |
| E. | The point in a body about which it can rotate horizontally and oscillates under the influence of gravity |
| Answer» A. The point of application of the resultant of all the forces tending to cause a body to rotate about a central axis | |
| 91. |
Plastic collosion of two bodies of equal mass results in a common velocity after impact which is |
| A. | Sum of their initial velocities |
| B. | Difference of their initial velocities |
| C. | Average of their initial velocities |
| D. | Independent of their initial velocities |
| E. | None of the above |
| Answer» E. None of the above | |
| 92. |
In which case power required would be more |
| A. | In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec |
| B. | In lowering a weight of 100 kg along an a inclined plane at an angle of 45? with |
| C. | In lifting up a weight of 100 kg at a constant speed of 3 m/sec |
| D. | In lowering the weight at a constant speed of 3 m/sec |
| E. | In lowering the weight at a velocity of 3 m/sec and acceleration of 1 m/sec2 |
| Answer» A. In lifting up a weight of 100 kg at a velocity of 3 m/sec but accelerating upwards at 0.5 m/sec | |
| 93. |
In case forces of 1 N, 2 N, 3 N, 4 N, 5 N and 6 N act in order along the sides of a regular hexagon, the resultant will be |
| A. | 21 N |
| B. | 107 dynes |
| C. | 2 N |
| D. | 6 N |
| E. | 0 |
| Answer» D. 6 N | |
| 94. |
A boy and his dad put a rope around a tree and stand side by side. What force by the boy can resist a force of 800 N by the dad? |
| A. | 231 |
| B. | 246 |
| C. | 192 |
| D. | 107 dynes |
| E. | 166 |
| Answer» E. 166 | |
| 95. |
The necessary condition of equilibrium of a body is |
| A. | The algebraic sum of horizontal components of all forces must be zero |
| B. | The algebraic sum of vertical components of all forces must be zero |
| C. | The algebraic sum of forces about a point must be zero |
| D. | All the above |
| E. | None of the above |
| Answer» D. All the above | |
| 96. |
The displacement of a particle under going rectilinear motion along the x-axis is given by x = 2t3 + 21t2 + 60t + 6 metres. |
| A. | 27 m/s2 |
| B. | 18 m/s2 |
| C. | 36 m/s2 |
| D. | 9 m/s2 |
| E. | 107 dynes |
| Answer» D. 9 m/s2 | |
| 97. |
A couple consists of a force P acting at a point A whose coordinates are (-1,2,4) m and force - F acting at a point whose coordinates are (2,3, -2)m. If F = 3i + 2j - 4k in kg units the moment of the couple in kg - m units would be |
| A. | 8i - 6j - 3k |
| B. | 12i - 3j + k |
| C. | 16i - 12j - 6k |
| D. | 4i - 3j + k |
| E. | 8i + 5j + 3k |
| Answer» A. 8i - 6j - 3k | |
| 98. |
A block slides down a smooth inclined plane when released from the top while another falls freely from the same point. The value of which parameter in the two cases will be identical? |
| A. | Time taken to reach the ground |
| B. | Kinetic energy at the ground |
| C. | Momentum at the ground |
| D. | Velocity while touching the ground |
| E. | Kinetic energy after one second |
| Answer» D. Velocity while touching the ground | |
| 99. |
The sag in a tape 100 ft long held between two supports 99.8 ft aprat at the same level is |
| A. | 3.32 ft |
| B. | 0.98 ft |
| C. | 2.73 ft |
| D. | 1.87 ft |
| E. | 107 dynes |
| Answer» C. 2.73 ft | |
| 100. |
A piece of wetted wood just floats in water. When placed in an oil of specific gravity 0.75, it will |
| A. | Float with upside down |
| B. | Sink |
| C. | Float for sometime and then sink |
| D. | Float with 3/4 of volume above the liquid surface |
| E. | Float with 1/4 of volume above the liquid level |
| Answer» B. Sink | |
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