Arise means ‘happen’ or ‘occur’. We use it with abstract nouns (e.g. problem). The three forms of arise are arise, arose, arisen. It is used in formal contexts:
An opportunity arose and he decided to take the job in Brussels.
A problem has arisen with my passport.
Rise means ‘go up’. The three forms of rise are rise, rose, risen:
The sun rises in the east and sets in the west.
Food prices have risen a lot in the last few months.
