{"id":5634,"date":"2019-11-02T23:42:32","date_gmt":"2019-11-02T18:12:32","guid":{"rendered":"https:\/\/physicscatalyst.com\/article\/?p=5634"},"modified":"2022-11-04T12:06:29","modified_gmt":"2022-11-04T06:36:29","slug":"dimension-of-frequency","status":"publish","type":"post","link":"https:\/\/physicscatalyst.com\/article\/dimension-of-frequency\/","title":{"rendered":"What is the dimension of frequency"},"content":{"rendered":"\n
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Dimensional Formula of Frequency<\/strong><\/span><\/h2>\n\n\n\n

with its Derivation<\/strong><\/span><\/p>\n\n\n\n

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In this article, we will find the dimension of Frequency<\/p>\n\n\n\n

Dimension Formula for Frequency is given by<\/p>\n\n\n\n

\"dimension<\/figure><\/div>\n\n\n\n

Here
M<\/strong> denotes Mass
L<\/strong> denotes Length
T<\/strong> denotes Time<\/p>\n\n\n\n

Derivation for expression of Dimension of Frequency<\/h3>\n\n\n\n

Frequency is defined as the number of vibrations or rotation per sec
$ Frequency= \\frac {\\text{Number of Vibration }}{Time}$<\/p>\n\n\n\n

or
$Frequency = \\frac {1}{\\text {Time of one vibration} }$
We can derive the Dimension of frequency from the above formula<\/p>\n\n\n\n

The number of Vibration is a dimensionless quantity. The dimension of Time is given by $[M^0 L^0 T^{1}]$<\/p>\n\n\n\n

Therefore
$\\text{Dimension of Frequency } = \\frac {1}{[M^0 L^0 T^{1}]}= [M^0 L^0 T^{-1}]$<\/p>\n\n\n\n

Frequency is denoted by the letter $\\nu$<\/p>\n\n\n\n

SI unit of Frequency is Hertz<\/strong><\/p>\n\n\n\n

Try the free Quiz given below to check your knowledge of Dimension Analysis:-<\/p>\n\n\n\n

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Quiz on Dimensional Analysis<\/strong><\/span><\/h4>\n
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