As you want to get the details of most demanding branch of engineering in present time and the list of engineering branches so here is the information of the same for you:

It involves civil engineering, electrical engineering, electronics engineering, mechanical engineering. Scope of these fields remains through generation.

On basis of your interest i.e. more favour for physics you can take up electrical/ electronics, engineering drawing then civil field, computers- IT/computer field, machineries- Mechanical field.