If you double the frequency of a vibrating object, its period will halve.

Here's why:

* Frequency is the number of vibrations per second (measured in Hertz, Hz).

* Period is the time it takes for one complete vibration (measured in seconds).

They are inversely proportional:

* Frequency = 1 / Period

This means:

* If you increase the frequency, the period decreases.

* If you decrease the frequency, the period increases.

So, doubling the frequency means the period is divided by two.