Class 11PhysicsOscillationsPeriodic, Oscillatory motion and its characteristics and types of SHM and Equation of SHM
MediumDefine periodic time and frequency. State their $SI$ units,dimensional formulas,and the relationship between them.
(N/A) Periodic Time: The smallest interval of time after which the motion is repeated is called its period. It is the time required to complete one oscillation. It is denoted by $T$. Its $SI$ unit is second $(s)$. The dimensional formula is $[M^0 L^0 T^1]$.
Frequency: The number of oscillations completed in one second is called frequency. It is denoted by $f$ or $\nu$. Its $SI$ unit is $Hz$ (Hertz) or $s^{-1}$. The dimensional formula is $[M^0 L^0 T^{-1}]$.
Relationship: Frequency is the reciprocal of periodic time. Mathematically,$f = \frac{1}{T}$ or $T = \frac{1}{f}$.
Frequency: The number of oscillations completed in one second is called frequency. It is denoted by $f$ or $\nu$. Its $SI$ unit is $Hz$ (Hertz) or $s^{-1}$. The dimensional formula is $[M^0 L^0 T^{-1}]$.
Relationship: Frequency is the reciprocal of periodic time. Mathematically,$f = \frac{1}{T}$ or $T = \frac{1}{f}$.
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Similar Questions
$Assertion :$ In simple harmonic motion,the motion is to and fro and periodic.
$Reason :$ Velocity of the particle $(v) = \omega \sqrt {A^2 - x^2}$ (where $x$ is the displacement and $A$ is the amplitude).
$Reason :$ Velocity of the particle $(v) = \omega \sqrt {A^2 - x^2}$ (where $x$ is the displacement and $A$ is the amplitude).
MediumAIIMS 2002
View SolutionThe ratio of the maximum acceleration to the maximum velocity of a simple harmonic oscillator is
Which concepts are needed for the description of a periodic motion?
Easy
View SolutionGiven below are two statements. One is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.
Assertion $(A) :$ Knowing initial position $x_0$ and initial momentum $p_0$ is enough to determine the position and momentum at any time $t$ for a simple harmonic motion with a given angular frequency $\omega$.
Reason $(R) :$ The amplitude and phase can be expressed in terms of $x_0$ and $p_0$. In the light of the above statements,choose the correct answer from the options given below $:$
Assertion $(A) :$ Knowing initial position $x_0$ and initial momentum $p_0$ is enough to determine the position and momentum at any time $t$ for a simple harmonic motion with a given angular frequency $\omega$.
Reason $(R) :$ The amplitude and phase can be expressed in terms of $x_0$ and $p_0$. In the light of the above statements,choose the correct answer from the options given below $:$
DifficultJEE MAIN 2025
View SolutionTwo particles executing $SHM$ along a straight line have the same amplitude $A$ and time period $T$. At $t=0$,one particle is at a displacement $+A$ and another is at a displacement $-\frac{A}{2}$ and they are approaching towards each other. They cross each other after a time.
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