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. The dimensions of universal gravitational constant are

$[M^{-2}L^{2}T^{-1}]$

$[M^{-2}L^{3}T^{-2}]$

$[ML^{2}T^{-1}]$

$[M^{-1}L^{3}T^{-2}]$

Question 1 of 5

2. Which of the following is a dimensionless quantity

Strain

Quantity of heat

Specific Heat

Stress

Question 2 of 5

3. The dimension of torque is

$[ML^3T^{-3}]$

$[MLT^{-2}]$

$[ML^{-1}T^{-1}]$

$[ML^2T^{-2}]$

Question 3 of 5

4. Which of the following physical quantity as the dimension of $[ML^2T^{-3}]$

impulse

Work

Pressure

Power

Question 4 of 5

5. A unitless quantity

may have a nonzero dimension

never has nonzero dimensions

does not exist

always has nonzero dimensions

Question 5 of 5

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