This is the 16210th most frequent Korean word.
붙는
"붙는" means "sticking" or "attaching."
In this sentence, "붙는" is used to describe dust sticking to leaves, again denoting physical attachment.
나뭇잎에 먼지가 붙는 게 보여요.
I can see dust sticking to the leaves.
The word "붙는" describes the action of attaching or sticking, associated with the word "자석 (magnet)."
책상 위에 연필이 붙는 자석이 있습니다.
There is a magnet on the desk that attaches pencils.
Here, "붙는" refers to passing an exam, conveying achieving success in a test.