Which of the following options correctly matches the situations in Column I with their characteristics in Column II?
| Column I | Column II | ||
| (A) | The object moves on the x-axis under a conservative force in such a way that its speed and position satisfy v = c 1 |
(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 v = kx, 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 accelerations 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 earth surface vertically upwards with a speed 2 |
(s) | The object can change its direction only once. |
1. (A) à (p), (B) à (q), (r), (C) à (p), (D) à (q)
2. (A) à (s), (B) à (r), (p), (C) à (c), (D) à (q)
3. (A) à (q), (B) à (p), (s), (C) à (r), (D) à (s)
4. (A) à (s), (B) à (q), (p), (C) à (r), (D) à (p)










