When considering Engineering Physics, the choice of the institute is a secondary factor while your inclination towards Physics is the primary concern. The course is not for those who take it casually without genuine interest in it.

I think IIT Guwahati is a better institute for EP. Those who have a branch change of mind should take the batch strength into consideration as only 10% of the batch is allowed to opt out of EP.

Thus, unless you're certain of EP, I would recommend you go for BITS or top NITs. This will help you if you are looking for a core course.

Rather than giving you a direct answer, I am going to evaluate all The aforementioned institutes individually on the basis of some common parameters like placements, brand name, campus life, opportunities, and alumni.

IIT BHU ECE

• Core placements are rare and students mostly build their profile for software development companies by becoming proficient in various programming languages, doing competitive coding, doing projects, and trying to build a computer science-inclined profile. A handful of students target core engineering roles.
• The brand value is similar to other colleges mentioned
• The campus is rather old and might disappoint freshers expecting a good college life.

IIT Guwahati ECE

• Unfortunately, I have no knowledge about this Institute. However, I recommend you contact the seniors of IIT Guwahati for the same.

IIT Hyderabad Maths and Computing

• Usually, MNCs attract top-tier software and financial services firms. If you are a hardworking student, it wouldn’t be difficult to secure amazing offers at top firms.

IIIT Hyderabad CSE

• IIIT H has possibly one of the best computer science departments in the country. 
• You have to do core computer science courses right from the first year.
• Many students get selected for Google Summer of Code and IIIT Hyderabad has its alumni in top-notch firms. 
• Being highly academically oriented, IIIT Hyderabad has minimal campus life and extracurricular activities.

Ultimately, it’s a matter of preferences and what you are looking for in your degree.

Both BITS Goa Pilani and IIT Guwahati/Kharagpur are well-respected institutions with dynamic mechanical engineering programs. The choice between them depends on a variety of factors like location, campus culture, available resources, and specific research interests. BITS Goa/Pilani is known for its strong focus on research and innovation, while IIT Guwahati/Kharagpur is known for its strong faculty and resources.

My brother was a student of Mechanical Engineering at IIT Guwahati and I have a few points as to why IIT Guwahati is better than BITS

• IIT Guwahati has a spectacular campus surrounded by natural beauty giving it a resort-like ambiance.
• The accommodation facilities are top both with every student getting single rooms right from the first year
• Your passions and hobbies are given importance and you will find many that share your interests
• Excellent sports facilities
• The Mechanical Engineering department of IIT Guwahati has excellent faculty, especially in fluids, solids and thermal.

A few drawbacks of the institute are

• Its remote location leaves you isolated with no place to hangout near
• The Mechanical branch has mainly boys only 

All in all, IIT Guwahati should not be your choice if you want a laid-back college life filled with fun. However, if you are sincere about your career and want to pursue mechanical engineering, IIT Guwahati is the right place for you.

Both IIT Guwahati for Biotech and MNNIT Allahabad for IT are extremely different courses in terms of the scope they offer. 

Go for Biotechnology only if you are genuinely interested in it because core placements are miserable and there is a dearth of job opportunities. Most students get placed in Analytics and other non-core sectors and only a few manage to secure a core job. So go for this only if you want to pursue higher studies.

MNNIT Allahabad’s IT program offers excellent job opportunities but lacks in terms of research and exposure. The coding culture is very good here but the academics is poor. The placement scenario is great second only to CS placements. If you aren’t sure enough consider the following points before making the final choice 

• Infrastructure: IIT Guwahati has excellent infrastructure and a very beautiful campus in contrast to MNNIT Allahabad.
• Sports: MNNIT lacks sports facilities and No importance is given to extracurricular activities.
• Location: IIT Guwahati with its serene campus and location is a clear winner in contrast to MNNIT Allahabad’s pathetic climate and lack of places to explore.
• Fests: The quality of fests held at MNNIT is very low compared to fests organized by IIT Guwahati.

Concludingly, if you have a specific preference for research and higher education, go for IIT Guwahati else MNNIT Allahabad is the best option for you.

MTech in Thermal is equally decent at NIT Warangal and IIT Guwahati. Both institutes give an edge to each other in most aspects and thus it leaves us only with a few parameters to evaluate IIT Guwahati and NIT Warangal.

• Ranking: IIT Guwahati Overall ranking by NIRF is 8 out of 200 colleges in India in 2022 whereas NIT Warangal, Warangal Overall ranking by NIRF is 45 out of 200 colleges in India in 2022.
• Location: Locations-wise, IIT Guwahati is the clear winner considering its low average temperature and splendid natural beauty.
• Alumni: NIT Warangal has an upper hand here because of its early establishment. The extensive alumni network helps the students to secure placements, internships, fundraising, and many more.
• Hostel: IIT Guwahati has excellent accommodation facilities with single rooms for every student irrespective of your college year. NIT Warangal may or may not have twin sharing.
• Placements: Placements of both institutes are similar with IIT Guwahati having a slight advantage over NIT Warangal due to its higher average package.
• Value: For those planning to pursue a Ph.D., IIT Guwahati is a better choice because of the IIT tag. However, if you just want to pursue MTech and prepare for competence exams, then NIT will be a decent choice.
• Fees: NIT Warangal MTech fees is ?1.34 Lakhs )1st Year Fees) whereas IIT Guwahati MTech fees are ? 67,350/Yr

Sparing the alumni network, everything speaks in favor of IIT Guwahati and makes it a better choice than NIT Warangal.