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Hello Deepanshu,
If you are really passsionate about research in Physics then I would suggest to go for Engineering Physics instead of Mechanical or Electrical. Engineering physics students are more involved in research studies. Even courses are also mostly focused on research studies. While in ME/EE you are given exposure of practical/labs which is mainly focused on industrial requirements. You can also do research in EE and ME but those subjects will deviate from physics. In case of EE you can work on communication, electromagnetics and even in power engineering which is mainly kind of application based. Engineering physics do more of atomic level studies.
For your case my suggestion would be to join Engineering Physics to pursue research as your career.
Good Luck !!!!
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