Which of the following examples represent periodic motion?
$(a)$ $A$ swimmer completing one (return) trip from one bank of a river to the other and back.
$(b)$ $A$ freely suspended bar magnet displaced from its $N-S$ direction and released.
$(c)$ $A$ hydrogen molecule rotating about its centre of mass.
$(d)$ An arrow released from a bow.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(B, C) and $(c)$
The swimmer's motion is not periodic. The motion of the swimmer between the banks of a river is back and forth. However,it does not have a definite period. This is because the time taken by the swimmer during his back and forth journey may not be the same.
The motion of a freely-suspended magnet,if displaced from its $N-S$ direction and released,is periodic. This is because the magnet oscillates about its position with a definite period of time.
When a hydrogen molecule rotates about its centre of mass,it comes to the same position again and again after an equal interval of time. Such motion is periodic.
An arrow released from a bow moves only in the forward direction. It does not come backward. Hence,this motion is not periodic.

Explore More

Similar Questions

The function $\sin^2(\omega t)$ represents:

Define the amplitude of $SHM$.

Difficult
View Solution

If the displacement $(x)$ and velocity $(v)$ of a particle executing simple harmonic motion are related through the expression $4v^2 = 25 - x^2$,then the time period is

$A$ particle free to move along the $x$-axis has potential energy given by $U(x) = k[1 - \exp(-x^2)]$ for $-\infty \le x \le +\infty$,where $k$ is a positive constant of appropriate dimensions. Then:

If the displacement of a particle executing $SHM$ is given by $y = 0.30 \sin(220t + 0.64)$ in meters,then the frequency and maximum velocity of the particle are:

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo