Almost, another detail is the closer the object gets to the event horizon, the more it's light redshifts - until it's no longer in the visible spectrum at all.

Almost, another detail is the closer the object gets to the event horizon, the more it's light redshifts - until it's no longer in the visible spectrum at all. You can think of the black hole's gravity as stealing energy from the light, shifting it into a lower energy spectrum.