Does time slow down when falling into a black hole?

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what exactly is this hawking radiation??in what way,can that supposedly end
a black hole?
 
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the black hole's gravitational pull is tremendous ,so how does it allow hawking radiation
to radiate out of a black hole,even if it is a slow process
 
Hawking radiation is a quantum effect. It occurs at the 'surface' of the event horizon. Some photons escape effectively causing the black hole to radiate and eventually [very slowly] decrease in mass. For black solar mass and larger black holes, it will be eons before they actually start to 'shink'. They will absorb more mass than they emit for many billions of years.
 
so will the mass of a black hole finally become 0,as it shrinks and disappears??can
black holes be considered as perfect black bodies
 
Techinically, black holes should explode when they fall below Planck mass. Albeit, a pretty wimpy end to a former bully. A tiny poof of gamma radiation is their legacy. It will, however, take dang near eternity for any such body to evaporate.