question_answer 28)

                  The relation between acceleration and displacement of four particles are given below:                 (a) \[{{a}_{x}}=+2x\]                 (b) \[{{a}_{x}}=+2{{x}^{2}}\]                 (c) \[{{a}_{x}}=-2{{x}^{2}}\]                   (d) \[{{a}_{x}}=-2x\]                 Which one of the particles is executing simple harmonic motion?

Answer:

                  (d) A particle executes S.H.M. if a c: displacement.