Yes, MSc Tech Engineering Physics students can apply for the GATE exam. GATE eligibility is not limited to only BTech/BE candidates; students who have completed or are currently in the final year of a postgraduate degree in Science, Mathematics, Statistics or Computer Applications are also eligible. Since MSc Tech Engineering Physics is recognized as a postgraduate science-based degree, you meet the academic eligibility criteria for appearing in GATE.
You can choose the GATE paper that aligns best with your background and future plans. Most students with Engineering Physics choose papers like Physics (PH), Engineering Sciences (XE) or even Electronics/related disciplines depending on their coursework and career goals. Your GATE score can be used for MTech/PhD admissions in IITs, NITs, IISc and other institutes, as well as PSU recruitment where relevant.
So if you are in the final year or have completed MSc Tech Engineering Physics, you are fully eligible to register for the GATE exam. All the best.