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Gravitation Test - 21

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Gravitation Test - 21
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  • Question 1
    1 / -0
    What is the density of water?
    Solution
    The mass and size of the molecules in a liquid and how closely they are packed together determine the density of the liquid. Just like a solid, the density of a liquid equals the mass of the liquid divided by its volume.  $$D = \dfrac{m}{v}$$. The density of water is 1 gram per cubic centimeter.
  • Question 2
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    When a solid block is fully immersed in water, the volume of the water displaced is:
    Solution
    Archimedes principle states that when a body is wholly or partially immersed in a fluid, it appears to suffer a loss in weight equal to the weight of the fluid it displaces.
    Hence, when a solid block is fully immersed in water, the volume of the water is equal to the volume of the block as the density of water is unity in cgs.
  • Question 3
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    Acceleration due to gravity of a body during free fall does not depend upon the:
    Solution
    We know that: $$g=\dfrac{GM}{R^2}$$, where $$G=$$ gravitational constant, $$M=$$ mass of the earth and $$R=$$ radius of the earth.

    So, $$g$$ does not depend on the mass of the falling body.
  • Question 4
    1 / -0
    ------------ is the force of attraction between any two bodies in the universe.
    Solution
    Any two objects attract each other with a force $$F_g=\dfrac{GMm}{R^2}$$ where $$G$$ is the gravitational constant, $$M$$ and $$m$$ the masses of the two bodies and $$R$$ is the distance along the line joining their centre of mass
  • Question 5
    1 / -0
    Mass is a _______ quantity and weight is a _______ quantity.
    Solution
    Mass: Mass is a measure of quantity of matter. hence it is a scalar quantity.
    Weight: Force by which earth pulls an object is called weight of that object. Hence it is a vector quantity. 
    Hence Option A
  • Question 6
    1 / -0
    The S.I. units of thrust is same as that of
    Solution
    When a system expels or accelerates mass in one direction, the accelerated mass will cause a force of equal magnitude but opposite direction on that system. The force applied on a surface in a direction perpendicular or normal to the surface is called thrust.
    Thrust has the same unit as the force. That is, newton.
  • Question 7
    1 / -0
    In the relation F= $$\dfrac{G M m}{r^{2}}$$, the quantity $$G$$
    Solution
    $$G$$ is the universal gravitational constant which remains constant at all places in the universe. $$G$$ is equivalent to the force of attraction between two bodies of unit mass and unit distance apart.
  • Question 8
    1 / -0
    The force of attraction between two unit point masses separated by a unit distance is called
    Solution
    Universal gravitational constant is the force of attraction between two bodies of unit mass and at a unit distance from each other.
  • Question 9
    1 / -0
    If the distance between two bodies is doubled then the force of gravitation acting between them becomes_______times of its initial value.
    Solution
    We know that,
           $$F_g=\dfrac{GMm}{(R)^2}$$
    According to question, the Distance between two bodies is doubled. 

    $$F'_g=\dfrac{GMm}{(2R)^2}$$ 
    On comparing above equations

    $$F_g'=F_g/4$$      

    ie, 1/4 times of initial value.
  • Question 10
    1 / -0
    Which of the following is not true for Universal law of gravitation?
    Solution
    Newton's law of universal gravitation states that any two bodies in the universe attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
    Hence , gravitational force exerted by sun on earth is exactly equal to that exerted by earth on sun
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