When is checking the river right?

[shutupndeal]

Lets say you raise pre-flop and are heads up in a pot after the flop, you <AK> bet and your opponent "smooth calls" you and the board comes junk 2c-4s-8d. Now you fire a bullet since the odds say that your opponent missed and he calls again which a lot of people may in this spot being he prob has 2 over cards to the flop also. 4th street is another off card like a 7s your opponent is not a calling station and can be categorized as passive aggressive would you come out firing a second bullet and if the river is a miss do you check? Is it correct according to the theeory of poker?