Hello aspirant,
Congrats for scoring such a pretty rank in UPSEE 2020. According to last some years cut offs sorry to say but you have very less chances of getting admission into this institution because the lowest cut offs is for chemical engineering which are 4000 rank nearly which is also higher than your rank. But as cut offs may vary year to year so that the chances may create for you in IET, Lucknow in chemical branch if the cut offs vary.
You should go through the below link in which all the information related to IET, Lucknow cut offs is given which will be helpful for you.
https://www.careers360.com/colleges/institute-of-engineering-and-technology-lucknow/cut-off?college_id=2216&exam_sub_exam_id=2330&counselling_id=4201&category_of_admission_id=3&caste_id=3&gender_id=1&csrfmiddlewaretoken=cbqJhfHc0GVCriNFxDRYIKmPn9kI8K5cFH6Koh80yIW9oln5RrgcnO4JNYmZwJIe
Also I would like to suggest you to go through our college predictor tool which will be very helpful for you in finding some good colleges for you as per your rank and preferences.
UPSEE College Predictor - Know your College Admission Chances Based on ...
Best of luck.
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