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I, may be wrong but I think these things are nearly same.
Nuclear physics deals with nucleus and it's constituents and
HEP deals with sub atomic particles like bosoms, quarks, etc
HEP deals with a scale smaller than nuclear physics.
But if they are different then I will go with HEP
Yes, I talked with my HOD. He said it is good to prefer conventional field like Thermal or design etc. But I am more inclined towards the high energy physics. See, I don't want to enter a field where my present studies will not be sufficient for studies in that area. And be a failure after...
If possible in IISE BANGALORE, OR IIT KANPUR, OR SAHA INSTITUTE OF NUCLEAR PHYSICS. I did B.Tech in Mechanical Engineering. Is it even possible to switch to physics stream.