Question

Find the Dimensional Formula for Frequency.

Answer 1

Step 1: Formula of Frequency

We know that the formula for calculating frequency is,

$\nu =\frac{1}{T}$

where, $T$ is the time period of the vibrating motion.

Step 2: Derive Dimensional Formula

Upon substituting the unit of the time period we get,

$\nu =\frac{1}{s}$

$\nu =s^{-1}$

$\nu =\left[M^0{L}^0{T}^{-1}\right]$

Therefore, the dimensional formula for frequency is $\left[M^0{L}^0{T}^{-1}\right]$.