Oscillations Ques 5
5. A particle of mass $m$ oscillates along $x$-axis according to equation $x = a \sin \omega t$. The nature of the graph between momentum and displacement of the particle is
[NEET Kar. 2013]
(a) straight line passing through origin
(b) circle
(c) hyperbola
(d) ellipse
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Answer:
Correct Answer: 5.(d)
Solution: (d) As $\frac{v^2}{a^2 \omega^2}+\frac{y^2}{a^2}=1$
This is the equation of an ellipse. Hence the graph is an ellipse. $P$ versus $x$ graph is not necessarily similar to $v$ versus $x$ graph.
BETA
