Yes you have a very good chance of getting admission in RMNLU Dr Ram Manohar Lohiya National Law University with your ranks but it depends on a few factors

Since you mentioned

• All India OBC rank 1600

• General rank 9000

• UP domicile

here is how admission works for RMNLU like most NLUs

1 NLU Admission is through CLAT UG

Law seats at RMNLU and other national law universities are offered based on CLAT Common Law Admission Test results followed by counselling

2 Category wise seats

NLUs have seats reserved for categories like OBC NCL EWS SC ST and General. Since you have an OBC rank of 1600 you are likely to be in a strong position for OBC NCL seats because typically cutoff ranks for OBC at many NLUs are higher meaning worse rank than 1600

3 General rank matters too

With a general rank of 9000 without category benefit it might be tough at top NLUs for Open merit seats. But since you have OBC status and a very good OBC rank you should use your OBC NCL rank in counselling to increase your chances

4 State quota or Domicile

Some NLUs consider state domicile for a small portion of seats varies by university. RMNLU does not offer strict domicile quota but OBC NCL seats are available to all applicants with that category rank

5 Cutoff comparison approximate trends

In recent CLAT cycles for OBC category at many NLUs

• Lower NLUs often have OBC cutoff ranks around 2000 5000 or worse

• Mid tier NLUs OBC cutoffs can go to 10k or beyond

So your OBC rank of 1600 is competitive for RMNLU in most years

Bottom line With an OBC rank of 1600 you have a very good chance of getting a seat at RMNLU in the counselling especially in the OBC NCL category