You're on a roll — here are the answers to the questions:
4. Choose the correct answers—
- a) A traveller will have the feeling of loss/gain in his time, if he moves to the west of Greenwich as per the GMT.
- The correct answer is gain. When moving west from Greenwich, you move to earlier time zones, so you gain time (the clock goes back).
- b) Mumbai has early sunrise than Greenwich therefore Mumbai is located at the east/west longitude.
- The correct answer is east. Places to the east of the Prime Meridian experience sunrise earlier.
- c) Time in each longitude to the east of the Prime Meridian goes ahead/back by four minutes.
- The correct answer is ahead. For every 1∘ of longitude to the east, time moves ahead by 4 minutes.
- d) The east longitude of 83∘20′/90∘/82∘30′ is accepted as the Indian Standard longitude.
- The correct answer is 82∘30′. This is the standard meridian for Indian Standard Time (IST).
- e) The common watch that we wear runs according to the local time/Greenwich Mean Time/Indian Standard Time.
- The correct answer is localtime. Our watches typically show the local time of our current location.
5. Write down the differences between—
- a) Latitudes and Longitudes:
- Latitudes are imaginary horizontal lines that run parallel to the Equator, measuring distance north or south. They range from 0∘ to 90∘ N/S.
- Longitudes are imaginary vertical lines (meridians) that run from the North Pole to the South Pole, measuring distance east or west of the Prime Meridian. They range from 0∘ to 180∘ E/W.
- b) Local Time and Standard Time:
- Local Time is the time of a specific place determined by the apparent position of the sun at that meridian. It varies from place to place.
- Standard Time is the uniform time adopted for a country or a region, based on the central meridian of that area. It helps avoid confusion caused by varying local times.
6. Solve the following problem—
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a) When it is 7 hrs in Greenwich (as per the GMT), then in a particular place, it is 12 noon. Find out the longitude of that place.
Step 1: Calculate the time difference.
Timedifference=12:00noon−7:00hrs=5hours
Step 2: Convert the time difference to minutes.
5hours×60minutes/hour=300minutes
Step 3: Calculate the longitude difference. Since 1∘ of longitude corresponds to 4 minutes, divide the total minutes by 4.
Longitudedifference=4minutes/degree300minutes=75∘
Step 4: Determine the direction. Since the local time (12 noon) is ahead of GMT (7 hrs), the place is to the east of Greenwich.
Longitude=75∘ E
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b) A wireless message was sent from New York (75∘W) city to Los Angeles (180∘W) at about 12 noon. At what time was the message sent as per the local time of Los Angeles?
- Correction: Los Angeles is approximately 118∘W, not 180∘W. Assuming the question intends to use 180∘W for calculation purposes, or if 180∘W is a typo for a different city, I will proceed with the given values. However, 180∘W is the International Date Line, which is not a city. Let's assume the question meant a location at 180∘W.
Step 1: Find the longitude difference between New York (75∘W) and the location at 180∘W.
Longitudedifference=180∘W−75∘W=105∘
Step 2: Calculate the time difference. Since 1∘ of longitude corresponds to 4 minutes.
Timedifference=105∘×4minutes/degree=420minutes
Step 3: Convert minutes to hours.
420minutes=60420hours=7hours
Step 4: Determine the time in Los Angeles (or the location at 180∘W). Since Los Angeles is to the west of New York, its time will be behind New York's time.
TimeinLosAngeles=12:00noon−7hours=5:00A.M.
The message was sent at 5:00A.M. local time in Los Angeles (or the location at 180∘W).
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c) What will be the exact time of a game to be held in Dhubri (90∘E) as per its local time, when the same can be held in New Delhi (77∘E) at 9 A.M.
Step 1: Find the longitude difference between New Delhi (77∘E) and Dhubri (90∘E).
Longitudedifference=90∘E−77∘E=13∘
Step 2: Calculate the time difference.
Timedifference=13∘×4minutes/degree=52minutes
Step 3: Determine the time in Dhubri. Since Dhubri is to the east of New Delhi, its time will be ahead of New Delhi's time.
TimeinDhubri=9:00A.M.+52minutes=9:52A.M.
The game will be held at 9:52A.M. local time in Dhubri.
That's all for this set! What's next?