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Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)?
Verified Answer
Mercury, Venus and Earth revolve round the Sun approximately once ever...
It takes approximately 58.6 days to complete a rotation about its axis, and about three months to do a complete revolution around the Sun. Mercury's gravity is only about 40% of the Earth's gravity, so on Mercury, you'd weigh only 40% of what you weigh now.
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Mercury, Venus and Earth revolve round the Sun approximately once ever...
Explanation:
To find the minimum number of months required for the planets to be aligned again, we need to find the least common multiple (LCM) of the three given time periods.
Finding the LCM:
To find the LCM, we can list the multiples of each time period until we find a common multiple.
The multiples of 3 months are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 7 months are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
The multiples of 12 months are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Identifying the common multiple:
From the above lists, we can see that the first common multiple for all three time periods is 21 months.
Therefore, the minimum number of months required for the planets to be aligned again is 21 months.
Converting to years:
To convert the answer to years, we divide the number of months by 12.
21 months ÷ 12 = 1 year and 9 months
Therefore, the minimum number of years required for the planets to be aligned again is 1 year and 9 months.
Summary:
- The planets Mercury, Venus, and Earth revolve around the Sun approximately once every 3 months, 7 months, and 12 months, respectively.
- To find the minimum number of months required for them to be aligned again, we need to find the least common multiple (LCM) of these time periods.
- By listing the multiples of each time period, we find that the first common multiple is 21 months.
- Converting this to years, we get 1 year and 9 months as the minimum number of years required for the planets to be aligned again.
To find the minimum number of months required for the planets to be aligned again, we need to find the least common multiple (LCM) of the three given time periods.
Finding the LCM:
To find the LCM, we can list the multiples of each time period until we find a common multiple.
The multiples of 3 months are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 7 months are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
The multiples of 12 months are: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...
Identifying the common multiple:
From the above lists, we can see that the first common multiple for all three time periods is 21 months.
Therefore, the minimum number of months required for the planets to be aligned again is 21 months.
Converting to years:
To convert the answer to years, we divide the number of months by 12.
21 months ÷ 12 = 1 year and 9 months
Therefore, the minimum number of years required for the planets to be aligned again is 1 year and 9 months.
Summary:
- The planets Mercury, Venus, and Earth revolve around the Sun approximately once every 3 months, 7 months, and 12 months, respectively.
- To find the minimum number of months required for them to be aligned again, we need to find the least common multiple (LCM) of these time periods.
- By listing the multiples of each time period, we find that the first common multiple is 21 months.
- Converting this to years, we get 1 year and 9 months as the minimum number of years required for the planets to be aligned again.
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Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)?
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Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)?.
Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)?.
Solutions for Mercury, Venus and Earth revolve round the Sun approximately once every 3 months, 7 months and 12 months respectively. If the planets begin lined up, what is the minimum number of months (or years) required for them to be aligned again? (Assume that the planets lie roughly in the same plane)? in English & in Hindi are available as part of our courses for Class 10.
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