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A particle of mass m oscillates along x-axis according to equation x = a sin ?t

A particle of mass m oscillates along x-axis according to equation x = a sin ωt. The nature of the graph between momentum and displacement of a particle is

Options

(a) straight line passing through origin
(b) circle
(c) hyperbola
(d) ellipse

Correct Answer:

ellipse

Explanation:

As (v² / a² ω²) + (y² / a²) = 1. This is the equation of ellipse. Hence the graph is an ellipse. P versus x graph is similar to V versus x graph.

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