**Dimensional Formula of Frequency**

**with its Derivation**

In this article, we will find the dimension of Frequency

Dimension Formula for Frequency is given by

Here**M** denotes Mass**L** denotes Length**T** denotes Time

### Derivation for expression of Dimension of Frequency

Frequency is defined as the number of vibrations or rotation per sec

$ Frequency= \frac {\text{Number of Vibration }}{Time}$

or

$Frequency = \frac {1}{\text {Time of one vibration} }$

We can derive the Dimension of frequency from the above formula

The number of Vibration is a dimensionless quantity. The dimension of Time is given by $[M^0 L^0 T^{1}]$

Therefore

$\text{Dimension of Frequency } = \frac {1}{[M^0 L^0 T^{1}]}= [M^0 L^0 T^{-1}]$

Frequency is denoted by the letter $\nu$

SI unit of Frequency is **Hertz**

Try the free Quiz given below to check your knowledge of Dimension Analysis:-

**Quiz on Dimensional Analysis**

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