Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
MediumDefine periodic time and frequency,their units,and the relationship between them.
(N/A) $1$. Periodic Time $(T)$: It is defined as the time taken by an oscillating particle to complete one full oscillation. Its $SI$ unit is second $(s)$.
$2$. Frequency ($f$ or $\nu$): It is defined as the number of oscillations completed by a particle in one second. Its $SI$ unit is Hertz $(Hz)$,where $1 \ Hz = 1 \ s^{-1}$.
$3$. Relationship: The frequency is the reciprocal of the periodic time. Mathematically,$f = \frac{1}{T}$ or $T = \frac{1}{f}$.
$2$. Frequency ($f$ or $\nu$): It is defined as the number of oscillations completed by a particle in one second. Its $SI$ unit is Hertz $(Hz)$,where $1 \ Hz = 1 \ s^{-1}$.
$3$. Relationship: The frequency is the reciprocal of the periodic time. Mathematically,$f = \frac{1}{T}$ or $T = \frac{1}{f}$.
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Similar Questions
The displacement of a particle executing linear $S.H.M.$ is given by $x = 0.25 \sin(11t + 0.5) \ m$. The period of $S.H.M.$ is (take $\pi = \frac{22}{7}$):
For a particle showing motion under the force $F = -5(x - 2)$,the motion is ...........
Easy
View Solution$A$ particle performs $SHM$ with a period $T$ and amplitude $a.$ The mean velocity of the particle over the time interval during which it travels a distance $a/2$ from the extreme position is
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 displacement variable and periodic function.
Difficult
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