question_answer 34)

                  The equation of motion of particle is \[x=a\cos \,(\alpha \,{{t}^{2}})\].                 The motion is (a) periodic but not oscillatory. (b) periodic and oscillatory. (c) oscillatory but not periodic (d) neither periodic nor oscillatory.

Answer:

                  (c) Trigonometric function \[\cos {{(\alpha t)}^{2}}\] shows that it is oscillatory but not periodic.