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The time period of an earth satellite in circular orbit is independent of
- a)The mass of the satellite
- b)Radius of its orbit
- c)Both the mass of satellite and radius of the orbit
- d)Neither the mass of satellite nor the radius of its orbit
Correct answer is option 'A'. Can you explain this answer?
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The time period of an earth satellite in circular orbit is independen...
Explanation:
Mass of the satellite:
- The time period of an earth satellite in circular orbit is independent of the mass of the satellite. This is because the formula for the time period of a satellite in circular orbit (T) only depends on the gravitational constant (G), the mass of the Earth (M), and the radius of the orbit (r) through the equation T = 2π√(r^3/(GM)). The mass of the satellite does not appear in this equation, so it does not affect the time period.
Radius of the orbit:
- The time period of an earth satellite in circular orbit is also independent of the radius of its orbit. As mentioned above, the time period formula only involves the radius of the orbit in the square root term. This means that changing the radius of the orbit will not alter the time period as long as the mass of the Earth and the gravitational constant remain constant.
Therefore, the time period of an earth satellite in circular orbit remains constant regardless of the mass of the satellite or the radius of its orbit. This is a fundamental principle of satellite motion and is crucial for understanding the dynamics of objects in orbit around the Earth.
Mass of the satellite:
- The time period of an earth satellite in circular orbit is independent of the mass of the satellite. This is because the formula for the time period of a satellite in circular orbit (T) only depends on the gravitational constant (G), the mass of the Earth (M), and the radius of the orbit (r) through the equation T = 2π√(r^3/(GM)). The mass of the satellite does not appear in this equation, so it does not affect the time period.
Radius of the orbit:
- The time period of an earth satellite in circular orbit is also independent of the radius of its orbit. As mentioned above, the time period formula only involves the radius of the orbit in the square root term. This means that changing the radius of the orbit will not alter the time period as long as the mass of the Earth and the gravitational constant remain constant.
Therefore, the time period of an earth satellite in circular orbit remains constant regardless of the mass of the satellite or the radius of its orbit. This is a fundamental principle of satellite motion and is crucial for understanding the dynamics of objects in orbit around the Earth.
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The time period of an earth satellite in circular orbit is independen...
As T2∝r3 and proportionality constant does not depend on the mass of orbiting body. So, answer The mass of the satellite is correct.
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The time period of an earth satellite in circular orbit is independent ofa)The mass of the satelliteb)Radius of its orbitc)Both the mass of satellite and radius of the orbitd)Neither the mass of satellite nor the radius of its orbitCorrect answer is option 'A'. Can you explain this answer?
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