Column I describes some situations in which a small object moves. Column II describes some characteristics of these motion. Match the situtions in column I with the characteristics in column II.

Answer

A-P;B-Q,R;C-P;D-Q, R

Explanation

A-P,B-Q,R,C-P,D-Q,R
(A) Given `v=c_(1)sqrt(c_(2)-x^(2))`
Comparing with `v=omegasqrt(A^(2)-x^(2))`, we find that this is a case of simple harmonic motion, Hence only option (A) is correct.
(B) `v=-kx`
`implies (dx)/(dt)=-kx implies overset(x)underset(x_(0))int(dx)/(x)=-overset(t)underset(0)intkdt`
`implies n((x)/(x_(0)))=-kt implies x=x_(0)e^(-kt) implies V=-kx_(0)e^(-kt)`
So v decreases in magnitude always. So KE keeps on decreasing v always remains negative, so the object does not change its direction of motion.
(C) Here spring-block system will execute simple harmonic motion.
(D) Given `v=sqrt((GM_(e))/(R_(e)))gtv_("escape")` So the object keeps on moving away from the earth Its speed goes on decreasing and it never changes its direction of motion.