Sorry to inform you that you are not eligible to sit for NET exam after completing B.Com(H), As to appear in NET Exam, you must hold post graduation degree with minimum 55%

NET Stands for National Eligiblity Test. UGC conducts the NET Examination 2 times in a year, First in June and then December. For writing the NET exam you must meet following eligibility criteria

NET Exam Eligibility:
-The candidates who have secured 55% in Master's degree from a recognized by UGC are eligible for the exam.
-The candidates including SC/ST/PH/VH categories have to secure 50% in Master's degree are eligible.
-The candidates who are appearing their last year Master's degree exam are also eligible for the exam.
-Candidates have to appear for the exam with the subjects which they studied in Post graduation only.