Passport apply in India?

Question

I want to apply a fresh passport for my wife (since she doesn't have one whereas I do have one). We are married recently and got the Marriage certificate from the Registrar Office with a changed surname for my wife (my surname) along with her original surname (maternal).

Now my question is, do I need to apply a passport for my wife with the surname changed? (i.e., my surname) or can she apply with her own surname? What is suggested and why? Please advise. I appreciate everyone who responds appropriately to my question.

Thank you all in advance.