7:30 p.m.
Explanation
The local time of a place is determined by its longitudinal position relative to the Prime Meridian (0° longitude), which passes through Greenwich, London. India follows Indian Standard Time (IST), which is calculated based on the standard meridian of 82°30' E passing through Mirzapur.Calculation of Time Difference:
- The Earth rotates 360° in 24 hours, meaning it covers 15° of longitude in 1 hour, or 1° in 4 minutes.
- The longitudinal difference between Greenwich (0°) and the Indian Standard Meridian (82°30' E) is 82.5°.
- Time difference = 82.5 × 4 minutes = 330 minutes.
- Converting minutes to hours: 330 minutes ÷ 60 = 5 hours and 30 minutes.
- Since India is located to the east of the Prime Meridian, IST is ahead of Greenwich Mean Time (GMT).
Final Calculation:
- Time at Greenwich (London) = 2:00 p.m.
- Time in India = 2:00 p.m. + 5 hours 30 minutes = 7:30 p.m.
Key Takeaway: Indian Standard Time (IST) is permanently set at 5 hours and 30 minutes ahead of Greenwich Mean Time (GMT).