Hi aspirant,

For a JEE Advance rank of 5,000 or between 5,000 and 10,000, candidates can consider IITs like,

• IIT Mandi - Electrical engineering
• IIT Ropar - Mechanical Engineering
• IIT Hyderabad - Engineering Science
• IIT Tirupati - CSE
• IIT Hyderabad - Engineering Physics
• IIT Bombay - Chemistry (B. Sc)
• IIT Guwahati - Chemical Engineering
• IIT BHU Varanasi - Civil Engineering
• IIT Delhi - Textile Technology
• IIT Kanpur - Bioengineering
• IIT Gandhinagar - Chemical engineering
• IIT Jodhpur - Electrical Engineering
• IIT Hyderabad - Civil Engineering
• IIT Patna - Electrical Engineering
• IIT Palakkad - CSE
• IIT Guwahati - Engineering Physics
• IIT Roorkee - Metallurgical Engineering
• IIT Goa - CSE
• IIT BHU Varanasi - Chemical engineering
• IIT Kharagpur - Biotechnology & Biochemical
• IIT Kharagpur - Mining Engineering
• IIT Kharagpur - Ocean Eng. & Naval Arch.
• IIT Guwahati - Civil Engineering
• IIT Madras - Naval & Ocean Engineering
• IIT Jodhpur - Mechanical Engineering
• IIT Mandi - Mechanical Engineering
• IIT Kanpur - Chemistry (B. Sc)
• IIT Gandhinagar - Civil Engineering
• IIT Jammu - CSE

These are not 100% accurate so you just have chances to get into one of these. You may want to check the cutoffs individually. This is a rough figure for you because at the end it depends on various factors like the cutoffs, no, of candidates and etc. Below mentioned is the link where you can find more details about which colleges you might get under this rank. Kindly refer to it.

https://engineering.careers360.com/articles/jee-advanced-rank-wise-colleges-list

I hope this helps.