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Gravitation Tes...

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  • Question 1
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    Weight of a body of mass $$m$$ decreases by $$1%$$ when it is raised to height h above the earth's surface. If the body is taken to a depth $$h$$ in a mine, then in its weight will

  • Question 2
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    The gravitational potential energy of a body at a distance $$r$$ from the centre of earth is $$U$$. Its weight at a distance $$2r$$ from the centre of earth is

  • Question 3
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    Which of the following statement is wrong for acceleration due to gravity.

  • Question 4
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    The value of '$$g$$' reduces to half of its value at surface of earth at a height '$$h$$', then

  • Question 5
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    Acceleration due to gravity at earth's surface is '$$g$$' m/s$$^2$$. Find the effective value of acceleration due to gravity at a height of $$32 km$$ from sea level :($$R_e = 6400 km$$).

  • Question 6
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    A body of mass $$m$$ is lifted up from the surface of earth to a height three times the radius of the earth $$R$$.The change in potential energy of the body is

  • Question 7
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    At some planet '$$g$$' is $$1.96 m/s^2$$. If it is safe to jump from a height of $$2m$$ on earth, then what should be corresponding safe height for jumping on that planet

  • Question 8
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    On the surface of earth acceleration due to gravity is g and gravitational potential is V.

    Column-IColumn-II
    a) At height h = R, value of g(p) decreases by a factor 1/4
    (b) At depth h = R/2 value of g(q) decreases by a factor 1/2
    (c) At height h = R, of V(r) Increases by a factor 11/8
    (d) At depth h = R/2 of V (s) Increases by a factor 2
    (t) None

  • Question 9
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    A missile is lauched with a velocity less than the escape velocity. Sum of its kinetic energy and potential energy is.

  • Question 10
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    The escape velocity for a planet is $$\displaystyle v_{e}$$ A particle starts from rest at a large distance from the planet reaches the planet only under gravitational attraction and passes through a smooth tunnel through its centre Its speed at the centre of the planet will be

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