Section – IV
This section contains 3 questions. Each question contains statements given in two columns which have to be matched. Statements (A, B, C, D) in column I have to be matched with statements (p, q, r, s) in column II. The answers to these questions have to be appropriately bubbled as illustrated in the following example.
If the correct matches are A-p, A-s, B-q, B-r, C-p, C-q and D-s, then the correctly bubbled 4 Ã— 4 matrix should be as follows:
Q. No. – 20. Column I
describe some situations in which a small object moves. Column II
describes some characteristics of these motions. Match the situation in Column I
with the characteristics in Column II
and indicate your answer by darkening appropriate bubbles in the 4 Ã— 4 matrix given in the ORS
|(A) The object moves on the x-axis under a conservative force in such a way that its â€œspeedâ€ and â€œpositionâ€ satisfy , where and are positive constants.
||(p) The object executes a simple harmonic motion.
|(B) The object moves on the x-axis in such a way that its velocity and its displacement from the origin satisfy , where k is a positive constant.
||(q) The object does not change its direction.
|(C) The object is attached to one end of a massless spring of a given spring constant. The other end of the spring is attached to the ceiling of an elevator. Initially everything is at rest. The elevator starts going upwards with a constant acceleration a. The motion of the object is observed from the elevator during the period it maintains this acceleration.
||(r) The kinetic energy of the object keeps on decreasing.
|(D) The object is projected from the earthâ€™s surface vertically upwards with a speed , where, is the mass of the earth and is the radius of the earth. Neglect forces from objects other than the earth.
||(s) The object can change its direction only once.