Write the definition and dimensional formula of frequency.
(N/A) Definition: The frequency of a wave is defined as the number of oscillations or cycles completed by a particle in a medium per unit time.
It is the reciprocal of the time period $(T)$.
Formula: $f = \frac{1}{T}$.
Dimensional Formula: Since the dimension of time $(T)$ is $[T^1]$,the dimensional formula for frequency $(f)$ is $[T^{-1}]$ or $[M^0 L^0 T^{-1}]$.
It is the reciprocal of the time period $(T)$.
Formula: $f = \frac{1}{T}$.
Dimensional Formula: Since the dimension of time $(T)$ is $[T^1]$,the dimensional formula for frequency $(f)$ is $[T^{-1}]$ or $[M^0 L^0 T^{-1}]$.
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Match Column-$1$ with Column-$2$.
Column-$1$ Column-$2$ $(a)$ Wave vector $(i)$ $M^1L^0T^{-3}$ $(b)$ Linear mass density $(ii)$ $M^1L^{-1}T^{-2}$ $(c)$ Intensity of a wave $(iii)$ $M^0L^{-1}T^0$ $(d)$ Volume elasticity coefficient $(iv)$ $M^1L^{-1}T^0$
| Column-$1$ | Column-$2$ |
| $(a)$ Wave vector | $(i)$ $M^1L^0T^{-3}$ |
| $(b)$ Linear mass density | $(ii)$ $M^1L^{-1}T^{-2}$ |
| $(c)$ Intensity of a wave | $(iii)$ $M^0L^{-1}T^0$ |
| $(d)$ Volume elasticity coefficient | $(iv)$ $M^1L^{-1}T^0$ |
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