You haven't mentioned your Category. This is important because every Category has different cut offs. With a score of 501, your rank might be approximately between 45023-51086 . This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . This is a decent score if you belong to States like Tamilnadu, Karnataka, Assaam, etc. For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer