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NEET2026PhysicsChapterActual

A particle is executing simple harmonic motion (SHM) about the mean position x = 0 . Four different graphs (A, B, C, and D) are plotted for various physical quantities associated with the particle against its displacement x from the mean position. Match List I (the given graphs) with List II (the corresponding physical quantities). List I List II A Graph (A) I Acceleration vs Displacement B Graph (B) II Velocity vs D

Options

  1. AA - I, B - II, C - III, D - IV
  2. BA - II, B - IV, C - I, D - III
  3. CA - II, B - I, C - IV, D - III
  4. DA - IV, B - I, C - II, D - III

Correct answer

C. A - II, B - I, C - IV, D - III

Step-by-step solution

For a particle executing simple harmonic motion (SHM) with amplitude A and angular frequency : 1. Velocity v and displacement x are related by v = A^2 - x^2 , which can be rewritten as v^2 ^2 A^2 + x^2 A^2 = 1 . This represents an ellipse. Thus, Graph (A) corresponds to Velocity vs Displacement (II). 2. Acceleration a and displacement x are related by a = - ^2 x . This represents a straight line passing through the origin with a negative slope. Thus, Graph (B) corresponds to Acceleration vs Displacement (I). 3. Pot

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