Which is better: Engineering Physics at IIT Bombay or Electrical Engineering at IIT Roorkee?

It would be suggested to pursue Engineering Physics at IIT Bombay rather than Electrical Engineering at IIT Roorkee. 

When it comes to studying physics at IITB, there are some key differences between JEE physics and college-level physics. Here are some important points to keep in mind:

• In JEE physics, you study formula derivations after brief explanations of concepts and practice a lot of problems in that topic. College-level physics courses are typically more rigorous in theoretical and mathematical content, and problems are solved to help you understand the concepts more deeply.
• While EE does not have any pure physics courses after the first year, it focuses on making you an electrical engineer. Core courses include analog and digital electronics, signals and systems, network theory, electronic devices, microprocessors, power electronics, and some relevant math courses.
• EP, on the other hand, has core courses like quantum mechanics, electrodynamics, statistics, relativity, classical mechanics, waves and optics, nuclear physics, etc. There are also important math courses up to your second year.
• EP trains you in core physics concepts and prepares you for experimental physics and electronics, giving you many options for your career path. You can work in theoretical or experimental physics, electronics, statistics and stochastics, CS-related research, or pursue higher studies in physics.
• When choosing between IITB and IIT Roorkee, consider factors like the quality of professors, campus culture, and location. IITB has excellent professors, a beautiful campus, and great cultural and sports scenes, and is close to TIFR, which provides opportunities for collaboration.
• When it comes to placements, most EP students go for higher studies because they are passionate about physics. For EE, core and non-core jobs are similar to those for other courses in terms of job security and salary packages.

Finally, the "brand" of IITs, especially IIT Bombay, provides a sense of job security that can be reassuring for graduates.