51. A quantity whose dimensions are M2L2 T3 could be the product of_________________? A. force and pressure B. mass and power C. energy and velocity D. force and velocity ✅ The correct answer is option B.
52. In SI units, the units of force and energy are respectively___________________? A. Newton and watt B. Dyne and erg C. Newton and joule D. kg-wt and joule ✅ The correct answer is option C.
53. The following is in unstable equilibrium__________________? A. a uniform solid cone resting on a generator on a smooth horizontal plane B. a uniform solid cone resting on its base on a horizontal plane C. a solid cube resting on one edge D. a satellite encircling the earth ✅ The correct answer is option C.
54. A ladder of weight ‘w’ rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight ‘w’ is to walk to the top of it safely, is tan’1 x, where x is___________________? A. 1/4 B. 1/3 C. 3 D. 4 ✅ The correct answer is option B.
55. Joule is the unit of__________________? A. power B. impulse C. work D. momentum ✅ The correct answer is option C.
56. A system of copianar forces is in equilibrium when___________________? A. force polygon closes B. funicular polygon closes C. both force polygon” and funicular polygon close D. all the forces are concurrent ✅ The correct answer is option C.
57. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be____________________? A. 20 m/sec B. 30 m/sec C. 40 m/sec D. 50 m/sec ✅ The correct answer is option B.
58. The angle of projection at which the horizontal range and maximum height of a projectile are equal to___________________? A. 45° B. tan-1 (2) C. tan-‘ (4) D. tan”1 (1/4) ✅ The correct answer is option C.
59. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________? A. (1/3) g sinB B. (2/3) g cos 9 C. (2/3) g sin 0 D. g sin 9 ✅ The correct answer is option C.
60. The pole distance is measured in___________________? A. distance scale B. force scale C. mass scale D. time scale ✅ The correct answer is option B.