Question

What is the dimensional formula for the time period?

Answer 1

Dimensional Formula

1. The dimensional formula is the method of expressing a quantity in terms of fundamental units.
2. Fundamental units are standard units that cannot be derived from any other relation.
3. There are seven fundamental units:

3.1 Mass - $kg$

3.2 Length - $m$

3.3 Time - $s$

3.4 Current - $A$

3.5 Temperature - $K$

3.6 Amount of Substance - $mol$

3.7 Luminous Intensity - $cd$

Dimensional Formula of Time Period

1. We know that a time period is defined as the time taken by the body to complete one full oscillation.
2. Therefore, the time period can have the dimensions of time itself, i.e., $T^1$.
3. Hence, the dimensional formula of time period is $\left[M^0{L}^0{T}^1\right]$.