Hi aspirant...!

Hope you're doing great...!

So, with regard of you're query. Yes, you are eligible for a free seat in government colleges. for the marks of 500. But the cutoff for colleges varies from state to state. Every state government college has a different cutoff score. So, using the URL I've provided below, you can look out colleges in your state:

https://medicine.careers360.com/neet-college-predictor?utm_source=clevertap&utm_medium=clevertap-sticky&utm_campaign=neet-ug-qna-web

Hope this will helps you...!

GOOD LUCK...!