Column I describes some situations in which a small object moves. C...
0Column 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
P characteristics in Column II. \( \quad(2007,6 \mathrm{M}) \)
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\begin{tabular}{cc}
\hline Column I & Column II \\
\hline
\end{tabular}
(A) The object moves on the \( x \)-axis (p) The object executes a under a conservative force in such simple harmonic motion. 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.
(B) The object moves on the \( x \)-axis in (q) The object does not such a way that its velocity and its change its direction. displacement from the origin satisfy \( v=-k x \), where \( k \) is a positive constant.
(C) The object is attached to one end (r) The kinetic energy of the of a mass-less spring of a given object keeps on spring constant. The other end of decreasing. 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.
(D) The object is projected from the (s) The object can change its earth's surface vertically upwards direction only once. with a speed \( 2 \sqrt{\frac{G M_{e}}{R_{e}}} \), 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.
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