What is the correct meaning of (82^\circ 30'E) in the context of India's location?

Correct answer: It is the meridian of Indian Standard Time

The notation 82°30′E describes a longitude, not a latitude. The letter E means east of the Prime Meridian, and the degree value identifies a north–south line on the globe. India uses 82°30′E as its Standard Meridian. Indian Standard Time is calculated from this meridian, so clocks across the country follow one official time even though India stretches across several longitudes.

Option C is correct because it calls 82°30′E the meridian of Indian Standard Time. The Tropic of Cancer is a latitude and is written with N, not E. India’s southernmost latitude is also a latitude, while the Bay of Bengal option incorrectly calls this longitude a latitude line. Thus, identifying E as east longitude leads directly to the correct choice.