JEE Exam > JEE Questions > The time period of an earth satellite in circ...
Start Learning for Free
The time period of an earth satellite in circular orbit is independent of
- a)both the mass and radius of the orbit
- b)radius of its orbit
- c)the mass of the satellite
- d)neither the mass of the satellite nor the radius of its orbit.
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The time period of an earth satellite in circular orbit is independent...
x = height of satellite from earth surface
m = mass of satellite
m = mass of satellite
which is independent of mass of satellite
Most Upvoted Answer
The time period of an earth satellite in circular orbit is independent...
The time period of an earth satellite in circular orbit is independent of:
Explanation:
The time period of an earth satellite refers to the time taken by the satellite to complete one revolution around the Earth. It is commonly denoted by T.
Factors affecting the time period of an earth satellite:
1. Mass of the satellite: The mass of the satellite does not affect its time period. This is because the force of gravity acting on the satellite is directly proportional to its mass according to Newton's law of universal gravitation. However, according to Newton's second law of motion, the acceleration experienced by an object is inversely proportional to its mass when the force acting on it is constant. Therefore, the mass of the satellite cancels out in the equation for the time period, making it independent of the satellite's mass.
2. Radius of the orbit: The time period of a satellite is directly proportional to the radius of its orbit. According to Kepler's third law of planetary motion, the square of the period of revolution of a satellite is directly proportional to the cube of its average distance from the center of attraction. In the case of a circular orbit, the average distance is equal to the radius of the orbit. Therefore, the time period of a satellite increases as the radius of its orbit increases.
3. Mass of the Earth: The mass of the Earth does not affect the time period of a satellite. This is because the force of gravity acting on the satellite is determined solely by the mass of the Earth and the radius of the orbit. The mass of the satellite itself does not play a role in this calculation.
Conclusion:
In conclusion, the time period of an earth satellite in a circular orbit is independent of both the mass of the satellite and the radius of its orbit. The only factor that affects the time period is the mass of the Earth. This is why the correct answer to the question is option 'C' - the mass of the satellite.
Explanation:
The time period of an earth satellite refers to the time taken by the satellite to complete one revolution around the Earth. It is commonly denoted by T.
Factors affecting the time period of an earth satellite:
1. Mass of the satellite: The mass of the satellite does not affect its time period. This is because the force of gravity acting on the satellite is directly proportional to its mass according to Newton's law of universal gravitation. However, according to Newton's second law of motion, the acceleration experienced by an object is inversely proportional to its mass when the force acting on it is constant. Therefore, the mass of the satellite cancels out in the equation for the time period, making it independent of the satellite's mass.
2. Radius of the orbit: The time period of a satellite is directly proportional to the radius of its orbit. According to Kepler's third law of planetary motion, the square of the period of revolution of a satellite is directly proportional to the cube of its average distance from the center of attraction. In the case of a circular orbit, the average distance is equal to the radius of the orbit. Therefore, the time period of a satellite increases as the radius of its orbit increases.
3. Mass of the Earth: The mass of the Earth does not affect the time period of a satellite. This is because the force of gravity acting on the satellite is determined solely by the mass of the Earth and the radius of the orbit. The mass of the satellite itself does not play a role in this calculation.
Conclusion:
In conclusion, the time period of an earth satellite in a circular orbit is independent of both the mass of the satellite and the radius of its orbit. The only factor that affects the time period is the mass of the Earth. This is why the correct answer to the question is option 'C' - the mass of the satellite.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer?
Question Description
The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer?.
The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer?.
Solutions for The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The time period of an earth satellite in circular orbit is independent ofa)both the mass and radius of the orbitb)radius of its orbitc)the mass of the satellited)neither the mass of the satellite nor the radius of its orbit.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup