Simple Harmonic Motion Ques 54
- 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.
$(2007,6$ M)
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Answer:
Correct Answer: 54.$A \rightarrow p \quad B \rightarrow q, r \quad C \rightarrow p \quad D \rightarrow q, r$
Solution:
Formula:
- (A) Compare with the standard equation of SHM
$ v=\omega \sqrt{A^{2}-x^{2}} $
we see that the given motion is SHM with,
$ \omega=C _1 \text { and } A^{2}=C _2 $
(B) The equation shows that the object does not change its direction and the kinetic energy of the object keeps on decreasing.
(C) A pseudo force (with respect to elevator) will start acting on the object. Its mean position is now changed and it starts SHM.
(D) The given velocity is greater than the escapevelocity
$ =(\sqrt{\frac{2 G M _e}{R _e}}) . $
Therefore it keeps on moving towards infinity with decreasing speed.
BETA
