India

IISC Bangalore
Indian Institute of Astrophysics Bangalore
Inter University Centre for Astronomy and Astrophysics Pune
Harish Chandra Research Institute Allahabad
Satyendranath Bose National Center of Basic Sciences Kolkata
Saha INSTITUTE of Nuclear Physics Kolkata
Institute of Mathematical Sciences Chennai Mathematical Institute Chennai
Institute of Physics Bhuvaneshwar
Institute of Plasma Research Gandhi Nagar
Inter University Accelerator Center Delhi
Tata Institute of Fundamental Research Mumbai
Raman Research Institute Hyderabad
Most of these post graduate studies take place and the entry is through Joint Entrance Screening Test (JEST) or by clearing NET JRF and getting a direct call for interview.

Hi Pulkit,
Kindly check the eligibility requirements:
As per Educational Qualification:
The candidates has to clear the Diploma in Engineering/Technology of a duration of 3 years or more from Haryana State Government. It is required by the candidates to obtain a percentage of 45% (42.75% for SC) in order to make themselves eligible for admissions.
Or,
A pass in B.Sc. From a recognised University or UGC with a minimum of 45% marks (42.75% for SC) and a pass in +2 with Mathematics as a compulsory subject. It is mandatory for the B.Sc. Students to clear the subjects of Engineering Graphics or Engineering Drawing. B.Sc. Graduate will only be considered for admission after the supernumerary seats have been successfully filled by the Diploma candidates. There is a relaxation of 10% cut off for Kashmir Migrant, subjected to the minimum eligibility requirements. https://www.shiksha.com/b-tech/exams/haryana-leet.