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NEET2016PhysicsOscillationsActual

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.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion.
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion.
  3. CIf assertion is true but reason is false.
  4. DIf both assertion and reason are false.

Correct answer

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

Step-by-step solution

Both assertion and reason are true but reason is not the correct explanation of assertion. P.E. = 1 2 m ^2 y^2 and K.E. = 1 2 m ^2 (a^2-y^2 ) . The variation of both potential energy and kinetic energy is proportional to y^2 . Therefore displacement versus P.E. or K.E. graph is a parabola (because parabolic equation is z=4 a u^2 ).

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