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If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v?
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If L is the angular momentum of a satellite revolving around earth is ...
Explanation:
Angular Momentum of a Satellite in Circular Orbit:
- The angular momentum (L) of a satellite revolving around Earth in a circular orbit is given by the formula L = mvr, where m is the mass of the satellite, v is its speed, and r is the radius of the orbit.
Relationship between Angular Momentum, Speed, and Radius:
- From the formula L = mvr, it is evident that angular momentum is directly proportional to both speed (v) and radius (r) of the orbit.
- This relationship can be understood by considering that as the speed of the satellite increases, its angular momentum also increases due to the rotational motion.
- Similarly, if the radius of the orbit increases, the distance from the axis of rotation also increases, leading to a higher angular momentum.
Conclusion:
- Therefore, the angular momentum (L) of a satellite revolving around Earth in a circular orbit is proportional to both speed (v) and radius (r) of the orbit.
- Hence, the correct answer is A) v and B) r.
Angular Momentum of a Satellite in Circular Orbit:
- The angular momentum (L) of a satellite revolving around Earth in a circular orbit is given by the formula L = mvr, where m is the mass of the satellite, v is its speed, and r is the radius of the orbit.
Relationship between Angular Momentum, Speed, and Radius:
- From the formula L = mvr, it is evident that angular momentum is directly proportional to both speed (v) and radius (r) of the orbit.
- This relationship can be understood by considering that as the speed of the satellite increases, its angular momentum also increases due to the rotational motion.
- Similarly, if the radius of the orbit increases, the distance from the axis of rotation also increases, leading to a higher angular momentum.
Conclusion:
- Therefore, the angular momentum (L) of a satellite revolving around Earth in a circular orbit is proportional to both speed (v) and radius (r) of the orbit.
- Hence, the correct answer is A) v and B) r.
Community Answer
If L is the angular momentum of a satellite revolving around earth is ...
Option C
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If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v?
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If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v?.
If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If L is the angular momentum of a satellite revolving around earth is a circular orbit of radius r with speed v, then, L is proportional to A) v B) r C) √r D) √v?.
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