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Unformatted text preview: QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 Q221. A shell fired from a gun at an angle to the horizontal explodes in mid air. The centre of mass of the shell fragments will have (a) vertically down (b) horizontally (c) along the same parabolic path of the unexploded shell (d) along the tangent to the parabolic path of unexploded shell Q222. The centre of mass of a system of two particles is (a) on the line joining then and midway between them (b) on the line joining them at a point whose distance from each particle is proportional to the square of the mass f the particle (c) on the line joining them and at a point whose distance from each particle is proportional inversely to the mass of that particle (d) on the line joining them and at a point whose distance from each particle is proportional to the mass of that particle Q223. Of the two spheres of same size, mass and appearance one is hollow and other is solid. If the two are rolled down an inclined plane simultaneously, then (a) hollow sphere will reach the bottom first (b) solid sphere will reach the bottom first (c) both will reach bottom together (d) either can reach first depending upon the surface of the plane Q224. A loaded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation . The gun is initially at rest on a horizontal frictionless surface. After firing, the centre of mass of the gunshot system (a) moves with a velocity vm/M (b) moves wit a velocity vm/M cos in the horizontal direction (c) remains at rest (d) moves with a velocity ( ) ( ) m M m M v-- in the horizontal direction Q225. If a mass of mass M jumps to the ground from a height h and his centre of mass moves a distance x in the time taken by him to hit the ground, the average force acting on him (assuming constant retardation) is (a) Mgh/x (b) Mgx/h (c) Mg(h/x) 2 (d) Mg(x/h) 2 Q226. The motion of the centre of mass of a system of two particles is unaffected by their interval forces (a) only if these are along the line joining the particles (b) only if there are at right angles to the line joining the particles (c) only if there are obliquely inclined to the line joining the particle (d) irrespective of the actual direction of the interval forces Q227. The ratio of the radii of gyration of a circular disc and a circular ring of the same radii about a tangential axis is (a) 1 : 2 (b) 5 : 6 (c) 2 : 3 (d) 2 : 1 Q228. A massive circular hoop of radius r oscillates in its own plane about a horizontal axis at a distance x above the centre of the hoop. The period of oscillation is minimum, when x equals (a) r (b) r/2 (c) r/3 (d) zero Q229. A jet engine works on the principle of conservation of (a) mass (b) energy (c) linear momentum (d) Angular momentum Q230. A rectangular container half full of petrole is being carried by a train on a horizontal track. If the train accelerates, the surface of the petrole in the container with respect to horizontal surface will...
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