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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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Important Questions on Gravitation

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

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The correct option is 

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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
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Two spheres of mass m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be
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Three particles, each of mass m are kept at the veritices of an equilateral triangle of side  L. The gravitational field at the centre due to these particle is
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The orbital velocity of the planet will be maximum at

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Which of the following is the evidence to show that there must be a force acting on Earth and directed towards the Sun?