What embedding model is used by Mongo Atlas behind the scenes when we generate vector-based index ?

There is no default embedding model used by Atlas Vector. You create your own vectors and store it in MongoDB Atlas Vector Search.

Don’t I have to use the same embedding model (model = “text-embedding-ada-002”
) to align with vector based index ?

yes the same embedding model should be used for initial data insertion and the querying

Does Vector Index allow to use/configure which model to use as part of creating vector search index?

No. you bring your own vectors