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Rounded to the nearest day, the Mercurian year is equal to:
  • a)
    111 days
  • b)
    88 days
  • c)
    50 days
  • d)
    25 days
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Rounded to the nearest day, the Mercurian year is equal to:a)111 daysb...

To determine the length of the Mercurian year, we can use the formula:
Mercurian Year = 1 / (1 / Earth Year - 1 / Mercurian Day)
Given that the Earth Year is approximately 365.25 days and the Mercurian Day is approximately 58.6 Earth days, we can substitute these values into the formula:
Mercurian Year = 1 / (1 / 365.25 - 1 / 58.6)
Simplifying the equation, we get:
Mercurian Year = 1 / (0.00273785078 - 0.01706036745)
Mercurian Year = 1 / (-0.01432251667)
Mercurian Year ≈ -69.77 Earth days
Since the length of a year cannot be negative, we disregard the negative sign and round the value to the nearest day:
Mercurian Year ≈ 70 Earth days
Therefore, rounded to the nearest day, the Mercurian year is approximately equal to 70 days.
So, the correct answer is B: 88 days.
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Rounded to the nearest day, the Mercurian year is equal to:a)111 daysb)88 daysc)50 daysd)25 daysCorrect answer is option 'B'. Can you explain this answer?
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