Rill/Gully erosion distinction

I have question regarding the difference between rill and gully erosion. Rill erosion is caused by slow movement of water along small channels on bare land with less vegetative cover. Gully erosion creates a deep channels that the surface runoff is further enhanced. The water movement is faster, creating a deeper channels.

Due to the slow movement of water in rill erosion, the soil particles are finer than gully erosion lands. Rills are channels small enough to be smoothed (rectified) by normal tillage. Gullies are larger channels that cannot be restored by normal tillage. is this correct?..

Thanks!!

Yes, this is all correct and this is an example of a complete answer. Well done!