The dimension formula of frequency can be derived using the base units of the International System of Units (SI). Frequency is measured in units of hertz (Hz), which represents the number of cycles or oscillations per second.
The dimension formula of frequency, denoted as [f], can be expressed as:
[f] = T^(-1)
where T represents time.
In other words, the dimension of frequency is the reciprocal of time (per second). This implies that frequency has dimensions of 1/time or simply inverse seconds (s^(-1)).
For example, if we say the frequency of an event is 100 Hz, it means that event occurs 100 times per second.