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If the earth is at one-fourth of its present distance from the sun, then duration of the year will be
- a)half of the present year
- b)one-fourth of the present year
- c)one -sixth of the present year
- d)one-eighth of the present year
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the earth is at one-fourth of its present distance from the sun, th...
Calculation of Year Duration with Earth's Distance from Sun
Explanation:
The duration of a year is the time taken by the earth to complete one revolution around the sun. The orbital speed of the earth is given by,
v = 2πr/T,
where r is the distance between the earth and the sun, T is the duration of the year, and v is the orbital speed of the earth.
Now, if the earth is at one-fourth of its present distance from the sun, then the new distance r' can be calculated as:
r' = r/4
As the gravitational force between the earth and sun is inversely proportional to the square of the distance between them, the new orbital speed of the earth will be:
v' = v(4)
The duration of the year can be calculated by using the formula:
T' = 2πr'/v'
Substituting the values of r' and v', we get:
T' = 2π(r/4)/v(4) = T/8
Hence, the duration of the year will be one-eighth of the present year. Therefore, option D is the correct answer.
Explanation:
The duration of a year is the time taken by the earth to complete one revolution around the sun. The orbital speed of the earth is given by,
v = 2πr/T,
where r is the distance between the earth and the sun, T is the duration of the year, and v is the orbital speed of the earth.
Now, if the earth is at one-fourth of its present distance from the sun, then the new distance r' can be calculated as:
r' = r/4
As the gravitational force between the earth and sun is inversely proportional to the square of the distance between them, the new orbital speed of the earth will be:
v' = v(4)
The duration of the year can be calculated by using the formula:
T' = 2πr'/v'
Substituting the values of r' and v', we get:
T' = 2π(r/4)/v(4) = T/8
Hence, the duration of the year will be one-eighth of the present year. Therefore, option D is the correct answer.
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Community Answer
If the earth is at one-fourth of its present distance from the sun, th...
BY Keplers's 3rd law......
Time period T^2=kR^3.
where R is distance of the earth from sun..
so if R'=R/4
T'²=KR'³
T'²=KR³/64
T'²=T²/64
T'=T/8
Time period T^2=kR^3.
where R is distance of the earth from sun..
so if R'=R/4
T'²=KR'³
T'²=KR³/64
T'²=T²/64
T'=T/8
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If the earth is at one-fourth of its present distance from the sun, then duration of the year will bea)half of the present yearb)one-fourth of the present yearc)one -sixth of the present yeard)one-eighth of the present yearCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the earth is at one-fourth of its present distance from the sun, then duration of the year will bea)half of the present yearb)one-fourth of the present yearc)one -sixth of the present yeard)one-eighth of the present yearCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the earth is at one-fourth of its present distance from the sun, then duration of the year will bea)half of the present yearb)one-fourth of the present yearc)one -sixth of the present yeard)one-eighth of the present yearCorrect answer is option 'D'. Can you explain this answer?.
If the earth is at one-fourth of its present distance from the sun, then duration of the year will bea)half of the present yearb)one-fourth of the present yearc)one -sixth of the present yeard)one-eighth of the present yearCorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the earth is at one-fourth of its present distance from the sun, then duration of the year will bea)half of the present yearb)one-fourth of the present yearc)one -sixth of the present yeard)one-eighth of the present yearCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the earth is at one-fourth of its present distance from the sun, then duration of the year will bea)half of the present yearb)one-fourth of the present yearc)one -sixth of the present yeard)one-eighth of the present yearCorrect answer is option 'D'. Can you explain this answer?.
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