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Oscillations question

2013 · Q162
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Oscillations question

2013 · Q162

NEETPhysicsOscillationsMCQ+4 / −1
A particle of mass m oscillates along x-axis according to equation x = asinω\omegaωt. The nature of the graph between momentum and displacement of the particle is
  1. A
    Circle
  2. B
    Hyperbola
  3. C
    Ellipse
  4. D
    Straight line passing through origin
View written solutionFree

Correct answer: C

As v2a2ω2+y2a2=1{{{v^2}} \over {{a^2}{\omega ^2}}} + {{{y^2}} \over {{a^2}}} = 1a2ω2v2​+a2y2​=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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