Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
EasyIdentify the function which represents a non-periodic motion.
- A$e^{-\omega t}$
- B$\sin \omega t$
- C$\sin \omega t + \cos \omega t$
- D$\sin (\omega t + \pi / 4)$
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Similar Questions
Match the following functions with their corresponding nature of motion, where $\omega$ is a constant:
List-$I$
List-$II$
$A$. $\sin^2 \omega t$
$I$. Periodic but not $SHM$ $(T = 2\pi/\omega)$
$B$. $\sin^3 \omega t$
$II$. Periodic but not $SHM$ $(T = \pi/\omega)$
$C$. $\sin \omega t + \cos \pi \omega t$
$III$. Non-periodic
$D$. $\cos \omega t + \cos 2\omega t$
$IV$. Periodic but not $SHM$ $(T = 2\pi/\omega)$
| List-$I$ | List-$II$ |
| $A$. $\sin^2 \omega t$ | $I$. Periodic but not $SHM$ $(T = 2\pi/\omega)$ |
| $B$. $\sin^3 \omega t$ | $II$. Periodic but not $SHM$ $(T = \pi/\omega)$ |
| $C$. $\sin \omega t + \cos \pi \omega t$ | $III$. Non-periodic |
| $D$. $\cos \omega t + \cos 2\omega t$ | $IV$. Periodic but not $SHM$ $(T = 2\pi/\omega)$ |
DifficultJEE MAIN 2026
View SolutionDefine simple harmonic motion and explain it.
Difficult
View SolutionWhich of the following functions represents a simple harmonic oscillation?
MediumAIIMS 2005
View Solution$A$ simple harmonic motion is represented by $\alpha \frac{d^2 x}{d t^2}+\beta x=0$. Its period is
DifficultMHT CET 2022
View SolutionWhich of the following equations represents a simple harmonic motion? $(\omega$ is angular frequency, $A$ is amplitude of oscillation and $i = \sqrt{-1})$
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