Explanations:The Earth rotates 360 degrees in 24 hours, which means it rotates 15 degrees per hour. This rotation causes a difference in time between two places that are longitudinally separated. The time difference between two places can be calculated by the longitudinal difference between them, with each 15 degrees of longitude corresponding to a 1-hour time difference.
In this question, we are given the local time at Dwarka, which is 6 am, and we need to find the local time at Dibrugarh. The longitude of Dwarka is approximately 69 degrees east, and the longitude of Dibrugarh is approximately 95 degrees east. The longitudinal difference between Dwarka and Dibrugarh is:
95 degrees - 69 degrees = 26 degrees
Since each 15 degrees of longitude corresponds to a 1-hour time difference, we can calculate the time difference between Dwarka and Dibrugarh as follows:
26 degrees / 15 degrees per hour = 1.7333 hours
1.7333 hours can be converted into hours and minutes:
1.7333 hours = 1 hour + 0.7333 hours
0.7333 hours * 60 minutes per hour = 44 minutes
Therefore, the time difference between Dwarka and Dibrugarh is 1 hour and 44 minutes. Since Dibrugarh is east of Dwarka, the local time at Dibrugarh will be later than the local time at Dwarka. If the local time at Dwarka is 6 am, then the local time at Dibrugarh will be:
6 am + 1 hour and 44 minutes = 7:44 am
Thus, the correct answer is 7:44 am.