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Oscillations

Question
CBSEENPH11026436

Assertion:  The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola. 

Reason:  Potential energy and kinetic energy do not vary linearly with position.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.

Solution

B.

If both assertion and reason are true but reason is not the correct explanation of assertion.

Both assertion and reason are true but reason is not the correct explanation of assertion.

              P. E = 12 m ω2 y2

and         K.E = 12 m ω2 ( α2 - y2 )

The variation of both potential energy and kinetic energy is proportional to y2

Therefore displacement versus P.E. or K.E. graph is a parabola ( because parabolic equation is  z = 4au2 )