No, you are not eligible for writing Telangana law common entrance test in the second year of your graduation. I am mentioning below the eligibility criteria which you are required for taking Telangana law common entrance test.:

• You must have completed your bachelor's degree from a recognised Institute.
• If you belong to general category then you are required to score at least 45% marks in the aggregate of graduation degree.
• If you belong to reserved category then you are required to score at least 40% marks in the aggregate of graduation degree.
• If you are in the final year of your college graduation then you are eligible for applying in the Telangana common law entrance test.

Read more about Telangana Law common entrance test by clicking the mentioned below link:

https://www.google.com/url?sa=t&source=web&rct=j&url=https://law.careers360.com/exams/ts-lawcet/amp&ved=2ahUKEwjehKGCh4j1AhXayosBHZa3CqoQFnoECAcQAQ&usg=AOvVaw3WqRP07l4VbuWg-yjkjLxG