Upvote:3
It will be on your electronic record. Ireland and the UK share Immigration related information due to the Common Travel Area. A new passport does not wipe your prior history.
Edit:
Furthermore, if you look at the Study Visa Questionnaire for India, they ask about your travel history. I quote from the form:
Have you ever applied for a visa for any other country?
If yes, please give full details in the box below including; country, date of application, type of visa applied for and outcome of application: Refusal letter must be submitted.
NOTE: Failure to declare ALL previous visa applications will result in the application being refused