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Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upon
- a)Mass of the satellite, its time period and the gravitational consatnt
- b)Mass of the satellite, mass of the earth, and the gravitational constant
- c)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatnt
- d)Mass of the earth, time period of the satellite and the gravitational constant
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Choose the correct statement from the following. The radius of the orb...
The correct answer is option D: Mass of the earth, time period of the satellite, and the gravitational constant.
Explanation:
To understand why option D is the correct answer, let's break down the factors that determine the radius of the orbit of a geostationary satellite.
1. Mass of the Earth:
The mass of the Earth plays a crucial role in determining the orbit of a satellite. The gravitational force between the Earth and the satellite is directly proportional to the mass of the Earth. A higher mass would result in a stronger gravitational force, which affects the satellite's orbit.
2. Time Period of the Satellite:
The time period of the satellite refers to the time it takes for the satellite to complete one full orbit around the Earth. The orbit of a geostationary satellite is such that it appears stationary from the surface of the Earth. This means that the satellite's time period is equal to the time it takes for the Earth to complete one rotation on its axis. The time period determines the speed at which the satellite orbits the Earth.
3. Gravitational Constant:
The gravitational constant (G) is a fundamental constant in physics. It represents the strength of the gravitational force between two objects. The value of G is approximately 6.674 × 10^-11 Nm^2/kg^2. It determines the magnitude of the gravitational force between the Earth and the satellite.
Relationship between these factors:
The radius of the orbit of a geostationary satellite can be determined using the following equation derived from Newton's law of gravitation:
r = (G * M * T^2 / 4π^2)^(1/3)
Where:
r = radius of the orbit
G = gravitational constant
M = mass of the Earth
T = time period of the satellite
From the equation, we can see that the radius of the orbit depends on the mass of the Earth, time period of the satellite, and the gravitational constant. Therefore, option D is the correct statement.
Explanation:
To understand why option D is the correct answer, let's break down the factors that determine the radius of the orbit of a geostationary satellite.
1. Mass of the Earth:
The mass of the Earth plays a crucial role in determining the orbit of a satellite. The gravitational force between the Earth and the satellite is directly proportional to the mass of the Earth. A higher mass would result in a stronger gravitational force, which affects the satellite's orbit.
2. Time Period of the Satellite:
The time period of the satellite refers to the time it takes for the satellite to complete one full orbit around the Earth. The orbit of a geostationary satellite is such that it appears stationary from the surface of the Earth. This means that the satellite's time period is equal to the time it takes for the Earth to complete one rotation on its axis. The time period determines the speed at which the satellite orbits the Earth.
3. Gravitational Constant:
The gravitational constant (G) is a fundamental constant in physics. It represents the strength of the gravitational force between two objects. The value of G is approximately 6.674 × 10^-11 Nm^2/kg^2. It determines the magnitude of the gravitational force between the Earth and the satellite.
Relationship between these factors:
The radius of the orbit of a geostationary satellite can be determined using the following equation derived from Newton's law of gravitation:
r = (G * M * T^2 / 4π^2)^(1/3)
Where:
r = radius of the orbit
G = gravitational constant
M = mass of the Earth
T = time period of the satellite
From the equation, we can see that the radius of the orbit depends on the mass of the Earth, time period of the satellite, and the gravitational constant. Therefore, option D is the correct statement.
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Community Answer
Choose the correct statement from the following. The radius of the orb...
It depends upon the period mass of the earth according to the formula is t is equal to 2 pie under root r cube upon g m
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Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. Can you explain this answer?
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Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. 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 Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. Can you explain this answer?.
Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. 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 Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Choose the correct statement from the following. The radius of the orbit of a geostationary satellite depends upona)Mass of the satellite, its time period and the gravitational consatntb)Mass of the satellite, mass of the earth, and the gravitational constantc)Mass of the earth, mass of the satellite, time period of the satellite and the gravitational consatntd)Mass of the earth, time period of the satellite and the gravitational constantCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
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