Self Studies

Gravitation Tes...

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  • Question 1
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    To complete one revolution around Earth, communication satellites take

  • Question 2
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    The height above surface of earth where the value of gravitational acceleration is one fourth of that at surface, will be

  • Question 3
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    The decrease in the value of g on going to a height R/2 above the earth's  surface will be

  • Question 4
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    At what altitude will the acceleration due to gravity be 25% of that at the earth's surface (given radius of earth is R) ?

  • Question 5
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    If the rotational motion of earth increases, then the weight of the body -

  • Question 6
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    On doubling the distance between two masses the gravitational force between them will -

  • Question 7
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    If the acceleration due to gravity inside the earth is to be kept constant, then the relation between the density d and the distance r from the centre of earth will be -

  • Question 8
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     Let w be the angular velocity of the earth's rotation about its axis. Assume that the acceleration due to gravity on the earth's surface has the same value at the equator and the poles. An object weighed at the equator gives the same reading as a reading taken at a depth d below earth's surface at a pole (d << R). The value of d is

  • Question 9
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    If the radius of the earth be increased by a factor of 5, by what factor its density be changed to keep the value of g the same ?

  • Question 10
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     The mass and diameter of a planet are twice those of earth. What will be the period of oscillation of a pendulum on this planet if it is a seconds pendulum on earth ?

  • Question 11
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    A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a.

                       

  • Question 12
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     If the kinetic energy of a satellite orbiting around the earth is doubled then -

  • Question 13
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    The escape velocity from a planet is v0. The escape velocity from a planet having twice the radius but same density will be -

  • Question 14
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    Two planets A and B have the same material density. If the radius of A is twice that of B, then the ratio of the escape velocity  is

  • Question 15
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    A hollow spherical shell is compressed to half its radius. The gravitational potential at the centre

  • Question 16
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    A (nonrotating) star collapses onto itself from an initial radius Ri with its mass remaining unchanged. Which curve in figure best gives the gravitational acceleration ag on the surface of the star as a function of the radius of the star during the collapse ?

                           

  • Question 17
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    A satellite of the earth is revolving in circular orbit with a uniform velocity V. If the gravitational force suddenly disappears, the statellite will

  • Question 18
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    A satellite revolves in the geostationary orbit but in a direction east to west. The time interval between its successive passing about a point on the equator is

  • Question 19
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    Two point masses of mass 4m and m respectively separated by d distance are revolving under mutual force of attraction. Ratio of their kinetic energies will be

  • Question 20
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    Select the correct choice(s) :

  • Question 21
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    with the orbit radius of a body in circular planetary motion. Find the correct state ment about the

    curves A, B and C

                           

  • Question 22
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    Two different masses are dropped from same heights, then just before these strike the ground, the following is same :

  • Question 23
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    When a satellite moves around the earth in a certain orbit, the quantity which remains constant is

  • Question 24
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    A body of mass m rises to height h = R/5 from the earth's surface, where R is earth's radius. If g is acceleration due to gravity at earth's surface, the increase in potential energy is

  • Question 25
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    A planet has mass 1/10 of that of earth, while radius is 1/3 that of earth. If a person can throw a stone on earth surface to a height of 90m, then he will be able to throw the stone on that planet to a height

  • Question 26
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    Work done in taking a body of mass m to a height nR above surface of earth will be :

    (R = radius of earth)

  • Question 27
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    The potential energy of a body of mass 3kg on the surface of a planet is 54 joule. The escape velocity will be -

  • Question 28
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     A body of mass m is situated at a distance 4Re above the earth's surface, where Re is the radius of earth. How much minimum energy be given to the body so that it may escape -

  • Question 29
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    A satellite of earth is moving in its orbit with a constant speed v. If the gravity of earth suddenly vanishes, then this satellite will -

  • Question 30
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    The ratio of distances of satellites A and B from the centre of the earth is 1.4 : 1, then the ratio of energies of satellites B and A will be –

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