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# What is the dimension of frequency

## Dimensional Formula of Frequency

with its Derivation

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

1. The dimension of angular velocity is

Question 1 of 5

2. Which of the following pair does not have the same dimensions

Question 2 of 5

3. Choose the correct statement(s)

Question 3 of 5

4. Which of the following pair does not have similar dimensions

Question 4 of 5

5. Which of the following is a dimensionless quantity

Question 5 of 5

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