Dimensional formula of time period

Time period
[T]
Written in full: [M⁰ L⁰ T¹ A⁰ K⁰]

How to derive it

Time period = 1 ÷ Frequency

Put in the dimensions of each part: 1 ÷ [T⁻¹] = [T].

mass (M)
0
length (L)
0
time (T)
1
current (A)
0
temperature (K)
0

SI unit

The SI unit of time period is second (s).

Same dimensions as time period

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Oscillations and waves

QuantityFormula
Frequency[T−1]
Spring constant[M T−2]
Intensity of a wave[M T−3]
Wave number[L−1]
Linear mass density[M L−1]
Angular frequency[T−1]