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Gravitation Tes...

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  • Question 1
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    A body of mass $$m$$ is raised to a height $$10R$$ from the surface of the earth, where $$R$$ is the radius of the earth. The increase in potential energy is ($$G =$$ universal constant of gravitation, $$M =$$ mass of the earth and $$g =$$ acceleration due to gravity)

  • Question 2
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    Let $$g_h$$ and $$g_d$$ be the acceleration due to gravity at height h above the earth's surface and at depth d below the earth's surface respectively. If $$g_h=g_d$$, then the relation between h and d is 

  • Question 3
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    The value of acceleration due to gravity, at earth surface is $$g$$. Its value at the centre of the earth, which we assume as a.sphere of radius $$R$$ and of uniform mass density, will be:

  • Question 4
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    The motion of planets in the solar system is an exampIe of the conservation of

  • Question 5
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    Calculate the gravitational force of earth acting on an object weighting 10kg placed 1000km above the surface of earth.
    (Mass of earth $$=6\times 10^{24}kg$$ and radius of earth $$=6.4\times 10^6m$$)  

  • Question 6
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    A body of mass '$$m$$' is raised to a height '$$10R$$' from the surface of the Earth, where '$$R$$' is the radius of the Earth. The increase in potential energy is ____ . ($$G$$ = universal constant of gravitation, $$M$$ = mass of earth and $$g$$ = acceleration due to gravity).

  • Question 7
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    The height at which the acceleration due to gravity is $$25\%$$ of that of the surface of earth is ____________. (R=Radius of the earth)

  • Question 8
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    The change in the gravitational potential energy when a body of mass m is raised to a height $$nR$$ above the surface of the Earth is (Here R is the radius of the earth)

  • Question 9
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    If $$g$$ is the acceleration due to gravity on the surface of the earth, the gain in potential energy of an object of mass $$m$$ raised from the earth's surface to a height equal to the radius $$R$$ of the earth is

  • Question 10
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    A body is taken to a height of $$nR$$ from the surface of the earth. The ratio of the acceleration due to gravity on the surface to that at the altitude is

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