Column I describes some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situations in Column I with the 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 \sqrt{c_2-x^2} , where c_1 , and c_2 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 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 mass-less 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 earth’s surface vertically upwards with a speed 2\sqrt{GM_e\/R_e} , where M_e is the mass of the Earth and R_e is the radius of the Earth. Neglect forces from objects other than the Earth. (S) The object can change its direction only once. [JEE Adv 2007 P2]

Correct Answer is : (A)→(P); (B)→(Q), (R); (C)→(P); (D)→(Q), (R)

(A)→(P); (B)→(Q), (S); (C)→(P); (D)→(Q), (R)

(A)→(P); (B)→(Q), (R); (C)→(P); (D)→(Q), (S)

(A)→(P); (B)→(Q), (R); (C)→(P); (D)→(Q), (R)

(A)→(P); (B)→(P), (R); (C)→(P); (D)→(Q), (R)

IIT JEE Advanced 2007 Paper 2

Section: Physics

Question : 20 of 66

Marks: +1, -0

Column I describes some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situations in Column I with the 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 = c1√c2−x2 , where c1 , and c2 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 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 mass-less 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 earth’s surface vertically upwards with a speed 2√GMe∕Re , where Me is the mass of the Earth and Re is the radius of the Earth. Neglect forces from objects other than the Earth.	(S) The object can change its direction only once.

[JEE Adv 2007 P2]

(A)→(P); (B)→(Q), (S); (C)→(P); (D)→(Q), (R)
(A)→(P); (B)→(Q), (R); (C)→(P); (D)→(Q), (S)
(A)→(P); (B)→(Q), (R); (C)→(P); (D)→(Q), (R)
(A)→(P); (B)→(P), (R); (C)→(P); (D)→(Q), (R)

Validate

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