Hello, Dr Neeraj Sharma

It will be difficult to say that you will easily get a government college because cut off varies from year to year depending on difficulty level category home state etc. 

However, 501 is a good score you have a chance of getting government college

I'm providing you a link which can help you

https://medicine.careers360.com/neet-college-predictor

Hope this helps you if you have any queries you can add in comment section

Thank you