In the equation below f is a frequency and L is a length Wha

In the equation below f is a frequency, and L is a length. What are the dimensions of a?

In the equation below f is a frequency, and L is a length. What are the dimensions of a 1/f = 2.pi.root L/a

On the left hand side:

Dimension of frequency is T^-1. So, dimension of 1/f will be T.

Now on the right hand side,

2pi is dimension less constant and L is length

To obtain the dimension of T on the right side, we have to divide the length dimension by another length dimension and multiply by T².

Hence, dimension of 1/a = T²/L

So, dimensions of a = L/T² = LT^-2