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:-

---

Quiz on Dimensional Analysis

---

• <<
• 1
• 2
• 3
• 4
• 5
• >>

1. Choose the correct statement(s)

A dimensionally correct equation may be correct

A dimensionally incorrect equation may be incorrect

A dimensionally incorrect equation may be correct

A dimensionally correct equation may be incorrect

Question 1 of 5

2. The dimension of angular velocity is

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

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

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

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

Question 2 of 5

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

tension and surface tension

Planck's Constant and angular momentum

angle and strain

stress and pressure

Question 3 of 5

4. The dimensions of universal gravitational constant are

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

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

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

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

Question 4 of 5

5. A dimensionless quantity

may have a unit

never has a unit

does not exist

always has a unit

Question 5 of 5

 Loading...

 

---

Related Articles

1. New Simplified Physics by SL Arora : I highly recommend this book for class 11 Physics students. It is easy to understand with lots of solved problems.
2. Dimensional Analysis:- a very good website for physics concepts
3. dimension of Surface Tension
4. Dimension of Momentum
5. dimension of angular momentum

Note to our visitors:-
Thanks for visiting our website.
DISCLOSURE: THIS PAGE MAY CONTAIN AFFILIATE LINKS, MEANING I GET A COMMISSION IF YOU DECIDE TO MAKE A PURCHASE THROUGH MY LINKS, AT NO COST TO YOU. PLEASE READ MY DISCLOSURE FOR MORE INFO.