Hey there

In home state with 10000 rank you have chances of getting Jadavpur University with almost all branches in sc category. Previous year cutoff for mechanical in sc category was 8905 in sc category so getting mechanical is difficult for you.

Check wbjee cutoff of different colleges

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/wbjee-cutoff/amp&ved=2ahUKEwj53JLP8eLiAhVS6XMBHTypBTEQFjAEegQIAhAB&usg=AOvVaw0oKi3F5JzAbrtqB4WCCTEk&ampcf=1

Good luck