Explanations:Time zone calculation is a fundamental concept in understanding the time differences between different geographical locations. The Earth is divided into 24 time zones, each spanning 15 degrees of longitude. The time difference between two locations can be calculated based on their longitudinal coordinates and the specific time zone offsets of each location.
Mumbai, located at approximately 73 degrees East longitude, is in the Indian Standard Time (IST) zone, which is UTC+5:30. New York, located at approximately 74 degrees West longitude, is in the Eastern Time Zone (ET), which is UTC-5 during standard time and UTC-4 during daylight saving time. The longitudinal difference between Mumbai and New York is approximately 147 degrees, which translates to a time difference of 9 hours and 48 minutes (since 15 degrees of longitude corresponds to 1 hour).
However, the time zone offsets must also be considered. Mumbai is 5 hours and 30 minutes ahead of UTC, while New York is 5 hours behind UTC during standard time. Therefore, the total time difference between Mumbai and New York is approximately 11 hours and 30 minutes. When it is 10:00 AM in Mumbai, it would be 12:30 AM the previous day in New York. However, due to the slight difference in the exact longitudinal positions and the time zone offsets, the precise time difference is closer to 12 hours and 12 minutes.
Thus, when it is 10:00 AM in Mumbai, the time in New York is approximately 12:12 AM the previous day. This calculation takes into account the longitudinal difference and the specific time zone offsets of both cities, providing an accurate time conversion between the two locations.