Yes, you can apply for both M.Sc. and integrated Ph.D. programs in physics through IIT JAM Physics.

The IIT JAM (Joint Admission Test for M.Sc.) Physics is an entrance examination conducted by the Indian Institutes of Technology (IITs) for admission to various postgraduate programs in physics. This exam allows candidates to apply for both M.Sc. and integrated Ph.D. programs in physics.

Eligibility Criteria:
To be eligible for the IIT JAM Physics exam, candidates must meet the following criteria:
1. Nationality: The candidate must be an Indian citizen or a foreign national.
2. Educational Qualification: The candidate must have a bachelor's degree in physics or a related field with a minimum of 55% aggregate marks (50% for reserved categories).
3. Age Limit: There is no age limit for appearing in the exam.

Application Process:
The application process for IIT JAM Physics is conducted online. Candidates need to visit the official website of IIT JAM and follow the instructions to fill in the application form. The application form requires personal details, educational qualifications, and other relevant information.

Exam Pattern:
The IIT JAM Physics exam consists of multiple-choice questions (MCQs) and numerical answer type (NAT) questions. The exam is divided into three sections: Section A, Section B, and Section C. Section A consists of 30 MCQs, Section B consists of 10 MCQs, and Section C consists of 20 NAT questions. The duration of the exam is three hours.

Selection Process:
After the exam, candidates are shortlisted based on their performance in the IIT JAM Physics exam. The shortlisted candidates are then called for further rounds, which may include a written test, interview, or both, depending on the respective institute's selection process.

Final Admission:
The final admission is based on the candidate's overall performance in the IIT JAM Physics exam and the subsequent selection rounds. The selected candidates are offered admission to either the M.Sc. or integrated Ph.D. program in physics, depending on their preference and the availability of seats.

In conclusion, candidates can apply for both M.Sc. and integrated Ph.D. programs in physics through IIT JAM Physics. The eligibility criteria, application process, exam pattern, selection process, and final admission may vary slightly from one institute to another. It is important to check the specific requirements of each institute before applying.