Option 1 states that 82 degrees east longitude determines the Indian standard time. This is correct. The Indian standard time is based on the longitudinal reference point of 82.5 degrees east longitude, which is close to option 1. The standard time is followed throughout India to maintain uniformity and synchronization across the country.

Option 2 states that 82 degrees east longitude has a bearing on the tropical climate of India. This is not directly related to the longitude. Climate patterns in India are influenced by various factors such as latitude, altitude, and ocean currents.

Option 3 states that 82 degrees east longitude divides India into eastern and western zones. This is incorrect. The longitude that divides India into eastern and western zones is 82.5 degrees east longitude, not 82 degrees.

Option 4 states that 82 degrees east longitude enables determining local time in eastern India. This is not accurate. Local time in eastern India is determined by 90 degrees east longitude, not 82 degrees.

In conclusion, the correct answer is option 1.