Identify the function which represents a non- | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) periodic function is one that repeats its values at regular intervals of time. Functions like $\sin \omega t$,$\cos \omega t$,and their linear com

Vedclass · Accepted Answer

$e^{-\omega t}$

Vedclass · Answer

(A) periodic function is one that repeats its values at regular intervals of time. Functions like $\sin \omega t$,$\cos \omega t$,and their linear combinations are periodic because they repeat their values after a time period $T = 2\pi / \omega$. The function $f(t) = e^{-\omega t}$ is an exponential decay function. As $t$ increases,$e^{-\omega t}$ decreases monotonically and approaches zero as $t 	o \infty$. Since it never repeats its values,it represents a non-periodic motion.

Identify the function which represents a non-periodic motion.

Similar Questions

The motion of a particle as per $x = A \sin \omega t + B \cos \omega t$ is :-

In simple harmonic motion,the acceleration of a particle is given by $a = -bx$. What is the time period of the motion?

$A$ particle moves in $S.H.M.$ such that its acceleration is $a = -px$,where '$x$' is the displacement of the particle from the equilibrium position and '$p$' is a constant. The period of oscillation is

Define the amplitude of $SHM$ and draw two different $SHM$s in one figure having two different amplitudes.

The displacement of an oscillator is given by $x = a \sin \omega t + b \cos \omega t$,where $a, b$ and $\omega$ are constants. Then:

Vedclass Test Series

Exam Paper Generator

Online Exam Module