What is the duration of a 10 Hz wave at a display of 15 mm/second?

To determine the duration of a 10 Hz wave on an EEG display that operates at a speed of 15 mm per second, it's important to understand both the frequency of the wave and the relationship between frequency, period, and time.

Frequency is measured in Hertz (Hz), which represents the number of cycles per second. A 10 Hz wave means there are 10 cycles occurring in one second. To find the period (the duration of one complete cycle) of a wave, you can use the formula:

[ \text{Period} = \frac{1}{\text{Frequency}} ]

For a frequency of 10 Hz, the period would be:

[ \text{Period} = \frac{1}{10 \text{ Hz}} = 0.1 \text{ seconds} = 100 \text{ msec} ]

Now, considering the display speed of 15 mm/second, this speed indicates how many millimeters on the paper correspond to one second of the EEG recording. However, in this context, the duration of the wave's cycle has already been established through the frequency calculation.

Therefore, since the wave has a period of 100 msec, this is the duration it occupies on the time