Q. 43.8( 13 Votes )

Which of the foll

Answer :

The condition for a function to be periodic is that it must identically repeat itself after a fixed interval of time. For a function to represent an SHM, it must have the form of cos ( or sin ( with a time period T.


(a) sin ωt – cos ωt = √2(-)..(Multiply & divide by √2 )


= (sin ωt.cosπ/4 - cos ωt.sinπ/4)


= √2.sin (ωt - π/4)


Hence, it is an SHM with a period 2π/ω.


(b) sin3 ωt = 1/3(3sin ωt - sin3ωt)


Each term here, sin ωt and 3ωt represent SHM. But B. is the result of superposition of two SHMs, is only periodic not SHM. Its time period is 2π/ω.


(c) It can be seen that it represents an SHM with a time period of 2π/2ω.


(d) It represents periodic motion but not SHM. Its time period is 2π/ω.


(e) An exponential function never repeats itself. Hence, it is a non periodic motion.


(f) It clearly represents a non-periodic motion.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

A tunnel is dug tPhysics - Exemplar

The length of a sPhysics - Exemplar

One end of a V-tuPhysics - Exemplar

Draw a graph to sPhysics - Exemplar

A simple pendulumPhysics - Exemplar

A cylindrical logPhysics - Exemplar

A body of mass m Physics - Exemplar

Find the displacePhysics - Exemplar

Consider a pair oPhysics - Exemplar

A mass of 2 kg isPhysics - Exemplar