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What is the shortest possible period of an Earth satellite in circular orbit ?

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Important Questions on Gravitation

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 3
The maximum and minimum distances of a comet from the sun are 1.4×1012 m and 6×1010 m respectively. If its velocity nearest to the sun is 7×104 m s-1, what is the velocity in the farthest position? Assume the paths of comet in both instantaneous positions are circular
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 4
A satellite of the Sun is in circular orbit around the Sun, midway between the Sun and the Earth. Then,
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 5
A planet of mass m moves around the sun of mass M in an elliptical orbit. The maximum and minimum distance of the planet from the sun are r1 and r2 respectively. The time period of the planet is proportional to:
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 6
In planetary motion, the areal velocity of position vector of a planet depends on angular velocity ω and the distance of the planet from sun (r). If so, the correct relation for areal velocity is
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 7
According to Kepler, the period of revolution of a planet T and its mean distance from the sun r is related by the equation.
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 8
If a new planet is discovered rotating around the Sun with the orbital radius double that of the Earth, then what will be its time period? (in Earth's day)
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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 9

A planet is revolving around the sun as shown in elliptical path

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Achieve Indian Airforce Agniveer Vayu Physics Practice Book>Chapter 8 - Gravitation>Exercise>Q 1
Two metallic spheres each of mass M are suspended by two strings each of length L The distance between the upper ends of strings is L. The angle which the strings will make with the vertical due to mutual attraction of the spheres is