The standard meridian of India is the longitude that is used as the reference point for measuring time and determining the Indian Standard Time (IST).

In this question, we are asked to identify the standard meridian of India among the given options.

Option 1: 83°30` E

Option 2: 82°30` E

Option 3: 82°30` W

Option 4: 83°30` W

To determine the standard meridian, we need to identify the longitude that passes through the center of India, which is approximately 82°30` E. This is the reference point for Indian Standard Time.

Therefore, the correct answer is option 2: 82°30` E.

It is important to note that this answer may vary slightly depending on the source, as the exact location of the standard meridian may differ. However, for the purpose of this question, option 2 is the most accurate choice provided.