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Answer the following questions about time zones and location: a) Explain time gain/loss when traveling west of Greenwich. b) Is Mumbai's sunrise earlier than Greenwich? East or West longitude? c) Does

Geography

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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\boxed{\text{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\boxed{\text{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\boxed{\text{ahead}}. For every 1∘1^\circ of longitude to the east, time moves ahead by 4 minutes.
  • d) The east longitude of 83∘20′/90∘/82∘30′83^\circ 20'/90^\circ/82^\circ 30' is accepted as the Indian Standard longitude.
    • The correct answer is 82∘30′\boxed{82^\circ 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 local time\boxed{\text{local time}}. 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∘0^\circ to 90∘90^\circ 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∘0^\circ to 180∘180^\circ 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—

  • 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.
  1. Calculate the time difference.

    $$
    \text{Time difference} = 12:00 \text{ noon} - 7:00 \text{ hrs} = 5 \text{ hours}
    $$
    
  2. Convert the time difference to minutes.

    $$
    5 \text{ hours} \times 60 \text{ minutes/hour} = 300 \text{ minutes}
    $$
    
  3. Calculate the longitude difference.

    Since 1∘1^\circ of longitude corresponds to 4 minutes, divide the total minutes by 4. Longitude difference=300 minutes4 minutes/degree=75∘ \text{Longitude difference} = \frac{300 \text{ minutes}}{4 \text{ minutes/degree}} = 75^\circ

  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 \text{Longitude} = \boxed{75^\circ \text{ E}}

    • b) A wireless message was sent from New York (75∘75^\circW) city to Los Angeles (180∘180^\circW) 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∘118^\circW, not 180∘180^\circW. Assuming the question intends to use 180∘180^\circW for calculation purposes, or if 180∘180^\circW is a typo for a different city, I will proceed with the given values. However, 180∘180^\circW is the International Date Line, which is not a city. Let's assume the question meant a location at 180∘180^\circW.
  5. Find the longitude difference between New York (75∘75^\circW) and the location at 180∘180^\circW.

    $$
    \text{Longitude difference} = 180^\circ \text{ W} - 75^\circ \text{ W} = 105^\circ
    $$
    
  6. Calculate the time difference.

    Since 1∘1^\circ of longitude corresponds to 4 minutes. Time difference=105∘×4 minutes/degree=420 minutes \text{Time difference} = 105^\circ \times 4 \text{ minutes/degree} = 420 \text{ minutes}

  7. Convert minutes to hours.

    $$
    420 \text{ minutes} = \frac{420}{60} \text{ hours} = 7 \text{ hours}
    $$
    
  8. Determine the time in Los Angeles (or the location at 180∘180^\circW).

    Since Los Angeles is to the west of New York, its time will be behind New York's time. Time in Los Angeles=12:00 noon−7 hours=5:00 A.M. \text{Time in Los Angeles} = 12:00 \text{ noon} - 7 \text{ hours} = 5:00 \text{ A.M.} The message was sent at 5:00 A.M.\boxed{5:00 \text{ A.M.}} local time in Los Angeles (or the location at 180∘180^\circW).

    • c) What will be the exact time of a game to be held in Dhubri (90∘90^\circE) as per its local time, when the same can be held in New Delhi (77∘77^\circE) at 9 A.M.
  9. Find the longitude difference between New Delhi (77∘77^\circE) and Dhubri (90∘90^\circE).

    $$
    \text{Longitude difference} = 90^\circ \text{ E} - 77^\circ \text{ E} = 13^\circ
    $$
    
  10. Calculate the time difference.

    $$
    \text{Time difference} = 13^\circ \times 4 \text{ minutes/degree} = 52 \text{ minutes}
    $$
    
  11. Determine the time in Dhubri.

    Since Dhubri is to the east of New Delhi, its time will be ahead of New Delhi's time. Time in Dhubri=9:00 A.M.+52 minutes=9:52 A.M. \text{Time in Dhubri} = 9:00 \text{ A.M.} + 52 \text{ minutes} = 9:52 \text{ A.M.} The game will be held at 9:52 A.M.\boxed{9:52 \text{ A.M.}} local time in Dhubri.

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