Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
EasyWrite the equation representing the relation between time period and frequency.
(N/A) The time period $(T)$ of a wave is defined as the time taken to complete one full oscillation or cycle.
Frequency $(f)$ is defined as the number of oscillations or cycles completed per unit time.
Since frequency is the reciprocal of the time period,the relationship is given by the equation:
$f = \frac{1}{T}$
Alternatively,it can be expressed as:
$T = \frac{1}{f}$
where $f$ is the frequency measured in Hertz $(Hz)$ and $T$ is the time period measured in seconds $(s)$.
Frequency $(f)$ is defined as the number of oscillations or cycles completed per unit time.
Since frequency is the reciprocal of the time period,the relationship is given by the equation:
$f = \frac{1}{T}$
Alternatively,it can be expressed as:
$T = \frac{1}{f}$
where $f$ is the frequency measured in Hertz $(Hz)$ and $T$ is the time period measured in seconds $(s)$.
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Similar Questions
Which of the following functions represents a simple harmonic oscillation?
MediumAIIMS 2005
View Solution$A$ particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true?
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View SolutionSelect the wrong statement about simple harmonic motion $(S.H.M.)$.
Easy
View SolutionMatch 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 SolutionThe point $A$ moves with a uniform speed along the circumference of a circle of radius $0.36\, m$ and covers $30^{\circ}$ in $0.1\, s$. The perpendicular projection $P$ from $A$ on the diameter $MN$ represents the simple harmonic motion of $P$. The restoring force per unit mass when $P$ touches $M$ will be ...... $N/kg$.
DifficultJEE MAIN 2021
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