Aas according to your rank you can get NEW IIT's such as IIT ROPAD, or IIT PATNA, electrical or mechanical over there, more over
you can also manage to get mechanical in IT - BHU .
So according to me rather than to select any such branch in which you have no intrest , its better to go as your choice .
For further details you can visit the following:
askIITians.com provides online iit jee courses and IIT JEE Test Series with IITians. Click here to get free online test series and check your status timely or you can join us as our registered user for getting best iit jee study material or iit jee test series.
Askiitians provide you all the best possible information, feel free to ask.
all the best.
thanks and regards.