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The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse.
If t1 is the time taken by the planet to travel along ACB and t2 the time along BDA, then
- a)t1 = t2
- b)t1 > t2
- c)t1 < t2
- d)Nothing can be concluded
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The orbit of a planet P round the sun S. AB and CD are the minor and m...
Here, the angular momentum is conserved i.e. mvr is constant. Where r is the distance from centre of the sun to centre of the planet.
Now, consider one point each from both the mentioned paths. (Shown in fig.)
Applying conservation of angular momentum for these points we get
mv1r1=mv2r2. Simplifying this, v1/v2=r2/r1<1
Time period are given by
t1=L/ v1, t2= L/ v2
Comparing them by taking the ratio
t1/t2=(L/ v1)×(v2/L)
So, t1/t2=v2/v1>1.Thus t1>t2
Now, consider one point each from both the mentioned paths. (Shown in fig.)
Applying conservation of angular momentum for these points we get
mv1r1=mv2r2. Simplifying this, v1/v2=r2/r1<1
Time period are given by
t1=L/ v1, t2= L/ v2
Comparing them by taking the ratio
t1/t2=(L/ v1)×(v2/L)
So, t1/t2=v2/v1>1.Thus t1>t2
Most Upvoted Answer
The orbit of a planet P round the sun S. AB and CD are the minor and m...
According to Kepler's laws, the rate of areas swept at any one of the focii is constant . In this case,
area(SACB)/t1 = area(SBDA)/t2
t1/t2 = area(SACB)/area(SBDA)
As area(SACB) > area(SBDA) we get,
t1 > t2
area(SACB)/t1 = area(SBDA)/t2
t1/t2 = area(SACB)/area(SBDA)
As area(SACB) > area(SBDA) we get,
t1 > t2
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Community Answer
The orbit of a planet P round the sun S. AB and CD are the minor and m...
Here, the angular momentum is conserved i.e. mvr is constant. Where r is the distance from centre of the sun to centre of the planet.
Now, consider one point each from both the mentioned paths. (Shown in fig.)
Applying conservation of angular momentum for these points we get
mv1r1=mv2r2. Simplifying this, v1/v2=r2/r1<1
Time period are given by
t1=L/ v1, t2= L/ v2
Comparing them by taking the ratio
t1/t2=(L/ v1)×(v2/L)
So, t1/t2=v2/v1>1.Thus t1>t2
Now, consider one point each from both the mentioned paths. (Shown in fig.)
Applying conservation of angular momentum for these points we get
mv1r1=mv2r2. Simplifying this, v1/v2=r2/r1<1
Time period are given by
t1=L/ v1, t2= L/ v2
Comparing them by taking the ratio
t1/t2=(L/ v1)×(v2/L)
So, t1/t2=v2/v1>1.Thus t1>t2
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The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer?.
The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer?.
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The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The orbit of a planet P round the sun S. AB and CD are the minor and major axes of the ellipse. If t1is the time taken by the planet to travel along ACB and t2the time along BDA, thena)t1= t2b)t1> t2c)t1< t2d)Nothing can be concludedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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