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Gravitation Test - 31

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Gravitation Test - 31
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  • Question 1
    1 / -0
    Rain falls down from the sky to the earth due to
    Solution
    Rain falls down from the sky to the earth due to the gravitational force of earth or gravity (of earth). The earth applies a force of gravity on rain drops by virtue of its mass.
  • Question 2
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    Value of $$g$$ on moon is _________ of the value of $$g$$ on earth.
    Solution
    Weight$$=mg$$
    (where $$m=$$mass and $$g=$$acceleration due to gravity)
    Let the acceleration due to gravity on moon $$=g_{moon}$$
    Acceleration due to gravity on earth $$=g_{earth}$$

    We know,
    Weight of an object on moon$$=\dfrac 16 \times$$weight of the object on earth
    $$mg_{moon}=\dfrac 16 \times mg_{earth}$$
    $$g_{moon}=\dfrac 16 \times g_{earth}$$
  • Question 3
    1 / -0
    Which of the following is not an application of Archimedes principle :
    Solution
    Hydrometer works on the Archimedes principle. The level at which it floats in liquid determines its relative density.

    Lactometer also works on the Archimedes' Principle that a solid suspended in a fluid is buoyed by a force equal to the weight of the fluid displaced. If the milk sample is pure, then the lactometer floats on it and if it is adulterated or impure, then the lactometer sinks.
  • Question 4
    1 / -0
    Fill in the blanks:
    Value of gravitational constant (G) on moon is __________ as on earth.
    Solution
    G is an universal constant and it remains same everywhere. It does not depend on mass or radius of the body.
  • Question 5
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    Fill in the blank. 
    If a substance's density is less than one then the substance is _________ than reference.
    Solution
    Relative density($$\rho_r$$) of a substance is defined as ratio of density of the substance($$\rho$$) to the density of reference material$$(\rho_{ref})$$.
    $$\rho_r=\dfrac{\rho}{\rho_{ref}}<1$$
    $$\implies \rho<\rho_{ref}$$
    Hence the substance is less dense than the reference.
  • Question 6
    1 / -0
    Lactometers are based on
    Solution
    Lactometer works on the Archimedes' Principle that a solid suspended in a fluid is buoyed by a force equal to the weight of the fluid displaced. 
    • If the milk sample is pure, then the lactometer floats on it upto a fixed mark.
    • If it is adulterated or impure, then the lactometer sinks because the liquid's density will be different (lesser) than what should be normally of pure milk. So the weight of the liquid displaced will be different (lesser). As a result the upthrust force will be different (lesser). The lactometer will be pushed upwards with a different (lesser) force which will result in it sinking a bit more.

  • Question 7
    1 / -0
    Archimedes principle is used for
    Solution
    Archimedes' principle is very useful for calculating the volume of an object that does not have a regular shape. The oddly shaped object can be submerged, and the volume of the fluid displaced is equal to the volume of the object. It can also be used in calculating the density or specific gravity of an object.
    $$\text{Relative density} = \dfrac{ \text{density of unknown material} }{ \text{density of water} }$$
  • Question 8
    1 / -0
    Which of the following is involved in buoyancy
    Solution
    When an object is placed in a fluid(liquid or gas), the difference in pressure acting on the top and bottom surface results in an upwards force equal to the weight of the fluid displaced by the object. This force is called buoyant force.

    Hence both liquid and gases exert buoyant force.
  • Question 9
    1 / -0
    Buoyant force is exerted by
    Solution
    The pressure in the fluid increases with increasing depth as $$P_{d}=P_0+\rho gd$$. When an object is immersed in any fluid, its upper surface come in contact with law pressure whereas lower surface comes in contact with higher pressure. Hence the force acting upwards due to higher pressure at the bottom is greater than the force acting downwards due to lower pressure at the top.
    Hence a net upward force called buoyant force acts on the body.

  • Question 10
    1 / -0
    What is relative density in terms of density of substance?
    Solution
    Relative density, or specific gravity, is the ratio of the density of a substance to the density of given reference material. Specific gravity for liquids is nearly always measured with respect to water at its densest; for gases, the reference is air at room temperature.
    $$\text{relative density} = \dfrac{ \text{density of the unknown material} }{ \text{density of water or reference material} }$$
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