Both Civil Engineering at IIT Madras and Mechanical Engineering at IIT Bhubaneswar are great options for students to pursue. However, if you ask me I have limited knowledge about IIT Madras but being a student of IIT Bhubaneswar I can share some insights on the institution.
I think I am qualified to answer this question as I graduated from IIT Madras Civil Department and I am working for L&T in Mumbai.
You should choose IIT Madras due to following reasons:-
For more detail Refer - https://www.iitbbs.ac.in/index.php/home/placement-2023
https://internship.iitm.ac.in/downloads/P&I_Report_22-23.pdf
IIT Madras is ranked 1st in the engineering category by NIRF Ranking 2020 making it one of the leading engineering colleges in India preferred by eligible students making it their first option. It has a strong faculty helmed by reputed and highly educated professionals. Last year, the cut off ranged from 90-5000. In the year 2018-19, this IIT had an outstanding placement season with recruiters coming from companies like Microsoft, Google, Amazon, Rolls Royce India Pvt. Ltd., Apple India Pvt. Ltd., Visa Inc., Uber, etc. IIT Madras had the highest offered salary of 16 lakhs per annum for the undergraduate engineering program.170 students out of 189 were placed in these companies. A 65% placement rate from the civil engineering department was observed.
IIT Madras is enriched with facilities like Hostel, Libraries, Common Rooms, Music rooms, Dance rooms, Indoor games, swimming pools, gym, cricket ground, multipurpose indoor stadiums, food courts and a hospital on campus.
IIT Bhubaneswar is one of the newer establishments of IIT. Unlike IIT Madras, it does not have the infrastructure or the strong faculty as it is still in the developing phase. IIT Bhubaneswar in 2019 had a placement percentage of 83% from the Mechanical Engineering department. The core engineering departments are very much valued by students as well as professionals. More than 110 students were recruited by companies like Accenture, Renault, HP, Amazon, Jio, Adobe, etc. students were offered a salary of 11 lakhs per annum in the year 2019.
So, while choosing the institute keep in mind your rank and the choice of subject. Depending on that you can decide where to study.