The two words consist of three syllables each, and the stress in both is on the first syllable. The words are pronounced ‘IM-i-nent’ and ‘EM-i-nent’ respectively. They both come from the Latin ‘minere’ meaning ‘to project’.
‘Eminent’ is mostly used with people. It suggests that the individual is well known or famous. The word can also be used with someone who is highly regarded or respected in a particular profession.

The eminent scientist that the news channels are talking about is my cousin.

‘Imminent’, is normally used to suggest that something is about to happen — and that something, is not always good.

According to the weather forecast, flooding is imminent.