Very old DSOs, or new "very cheap" ones have a problem due to lack of memory depth.
This is very apparent when doing one of the standard tests with analog TV waveforms.
When you need to look at a video waveform at "field rate" (50 or 60 Hz) it is necessary to use a time/div setting of around 5ms/div.(2ms/div is a bit too fast).
The Oscilloscope assumes you are looking at a sine wave at that frequency, so reduces the sampling rate so as not to exceed the memory depth.
Unfortunately, a video signal is not a sine wave, as it contains frequency components up tpo 5MHz, which is well above the reduced sampling rate.
The resulting aliased display is totally unuseable!
The analog video example is a "worst case" scenario, but if you want to look at Mains rate "hum" on any pulse train with a substantial high frequency component, the same problem will occur.
Modern, relatively inexpensive DSOs like the Rigol DS1054Z have adequate memory depth, & do not exhibit this problem.