What is the dimension of frequency


Dimensional Formula of Frequency

with its Derivation


In this article, we will find the dimension of Frequency

Dimension Formula for Frequency is given by

dimension of frequency

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. Which of the following has the dimensions of pressure?

Question 1 of 5

2. Which of the following is a dimensionless quantity

Question 2 of 5

3. Which of the following physical quantity as the dimension of \([ML^2T^{-3}]\)

Question 3 of 5

4. A unitless quantity

Question 4 of 5

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

Question 5 of 5


 


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