Self Studies

Gravitation Tes...

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  • Question 1
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    The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body from this platform is fv, where v is its escape velocity from the surface of the earth. The value of f is

  • Question 2
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    If the radius of a planet is R and its density is ρ, the escape velocity from its surface will be

  • Question 3
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    What is the escape velocity for a body on the surface of a planet on which the acceleration due to gravity is (3.1)2ms–2 and whose radius is 8100 km?

  • Question 4
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    Three particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particles is

  • Question 5
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    Escape velocity on the surface of earth is 11.2 km/s. Escape velocity from a planet whose mass is the same as that of earth and radius 1/4 that of earth is

  • Question 6
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    The velocity with which a projectile must be fired so that it escapes earth\'s gravitation does not depend on

  • Question 7
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    If V, R and g denote respectively the escape velocity from the surface of the earth radius of the earth and acceleration due to gravity, then the correct equation is

  • Question 8
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    For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

  • Question 9
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    A particle of mass 10 g is kept on the surface of a uniform sphere of mass 100 kg and radius 10 cm. Find the work to be done against the gravitational force between them to take the particle far away from the sphere (you may take G = 6.67 × 10–11Nm2/kg2)

  • Question 10
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    A point mass is placed inside a thin spherical shell of radius R and mass M at a distance R/2 from the centre of the shell. The gravitational force exerted by the shellon the point mass is

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