Q. 9

# The equation of motion of a particle is x = a cos (α 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 :

Now differentiating the above twice we get,

Thus, we find that is proportional to and hence it is an oscillatory.

Thus, the motion is not periodic.

Hence the option (c).

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Fig. 14.23 depicts four x-t plots for linear motion of a particle. Which of the plots represent periodic motion? What is the period of motion (in case of periodic motion)?

NCERT - Physics Part-II