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

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:-

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Quiz on Dimensional Analysis

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1. Which of the following has the dimensions of pressure?

\([ML^{-1}T^{-2}]\)

\([MLT^{-2}]\)

\([ML^{-2}T^{-2}]\)

\([M^{-1}L^{-1}]\)

Question 1 of 5

2. Choose the correct statement(s)

A dimensionally incorrect equation may be correct

A dimensionally correct equation may be incorrect

A dimensionally incorrect equation may be incorrect

A dimensionally correct equation may be correct

Question 2 of 5

3. Which of the following is a dimensionless quantity

Specific Heat

Quantity of heat

Stress

Strain

Question 3 of 5

4. The dimensions of universal gravitational constant are

\([M^{-2}L^{3}T^{-2}]\)

\([M^{-1}L^{3}T^{-2}]\)

\([ML^{2}T^{-1}]\)

\([M^{-2}L^{2}T^{-1}]\)

Question 4 of 5

5. The dimension of angular velocity is

\([M^0L^0T^{-1}]\)

\([MLT^{-2}]\)

\([M^2L^0T^{-1}]\)

\([ML^2T^{-2}]\)

Question 5 of 5

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