You are comparing two different engineering branches which are core and are perfect in their own place. Also, the selection of the branch should be primarily based on your interest and future plans. It is very important you choose a branch of your interest, as you will spend 4 years learning it. So, decide on the basis of your interest.

NIT Jamshedpur is much better than BIT Mesra in placements except CSE. CSE has slightly better placement in BIT Mesra than NIT Jamshedpur but then the gap is decreasing year by year. So, you can easily opt for the choice of field you want.

Let me give you some details regarding the future prospects in both of them:

Core Jobs:

• Both the branches have an equal number of core jobs and both mechanical and electrical engineers are needed at any manufacturing firm.
• So in this case, it primarily boils down to your inclination towards either of the two branches.

Non-Core Jobs:

• Electrical Engineers also have the opportunity to switch their career to software engineering without much difficulty.
• Mechanical Engineers generally don't have this Liberty.

Government Jobs:

• Mechanical Engineering has the highest no. of vacancies in PSUs and Engineering services.

Several core companies come to campus at Jamshedpur in TATA town, TATA Powers and TATA Motors pick many students for jobs as well as for internships. Now, this brings a great advantage for both Mechanical as well as Electrical branch students.

Talking about infrastructure, BIT Mesra has a more beautiful campus than NIT Jamshedpur. If you want facilities, you should go with BIT Mesra. But, placement wise NIT Jamshedpur is far ahead of BIT Mesra, which is again proving NIT Jamshedpur worth over bit Mesra.

Based on the above parameters, you can decide for yourself. Regarding the two colleges you mentioned, both are equally good and have roughly the same student quality. BIT Mesra has an edge in software profiles and NIT Jamshedpur in Core Engineering placements.

Placement depends on your knowledge and skill in that particular field. There are many reputed companies visiting the PEC Chandigarh campus for placements. And securing a placement offer in any of them depends on your academics and your performance in the interview. 

Besides, you must remain among the top 20% of students, be consistent and develop your verbal skills to ensure that you get selected. 

The table below shows the overall placement scenario of PEC Chandigarh.

Among the given branches the hot pick is probably Civil Engineering. As the infrastructural growth is almost at an all-time high currently in India. There are many opportunities to start a career or become an employer in the field. 

Yes, CSE is good at ITM Gwalior according to students and potential candidates are really good. But like any other educational institution, they also have certain things contributing to their good and bad qualities. 

PROS

• Senior batches contribute to making required changes in the syllabus every year. Hence, the course material keeps on upgrading.
• Teachers work hard and are contributing to the growth of the students as well as the department. They are also cordial.
• The university provides good infrastructural resources for the seamless learning of the students.
• Some students even work towards keeping the college environment warm and positive.

CONS

• Most of the teachers do not focus on learning new things but only teaching the course material.
• Since the course material is upgrading, many of the important technologies are not discussed.

Some important points:

Computer Science and Engineering is the best branch among all. The University brings some of the top MNCs for campus recruitment. Having said that, it depends upon personal choice. Some of you might like the Computer Science and Engineering course at ITM University, Gwalior and some of you might not. 

But, it is highly recommended to go for ITM Gwalior if you could not score enough marks for IITs, NITs, and other reputed colleges. You will not regret joining ITM Gwalior.

Firstly, you should know that IIIT UNA is a new college and although it has the IIIT tag, it hasn't been ranked by any esteemed Ranking platforms like NIRF. Its classes are also facilitated by NIT Hamirpur's faculty and the campus and faculty are nice. 

As far as NSIT is concerned, it ranks #76 on the NIRF ranking portal for engineering and has a better location in Delhi than Hamirpur, because of the facilities and professional opportunities available. 

Here are some more pointers to help you understand better -

• If your interest lies in the program rather than the institute, then go for CSE. Although first reflect on the placement scenario of IIIT UNA, whether they receive good companies or not; if the package is satisfactory, and if speedy placements are facilitated after the course is over.
• When you take a look at NSIT, then you should know that you'd be able to build a good career as a software engineer with the ICE program, but the management will be a little difficult because of the delicate balance between coursework and developing your programming skills.
• Most ICE alumni are now pursuing MBA or working other non-technical jobs. For non-tech, NSIT offers better opportunities.

Here's a table on the placement scenario-

Lastly, decide according to your future goals and whether you'd like to pursue CSE or instrumentation.