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Gravitation Test - 3

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Gravitation Test - 3
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Weekly Quiz Competition
  • Question 1
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    Two identical solid copper spheres of radius R are placed in contact with each other. The gravitational attraction between them is proportional to

    Solution

    According to properties of gravitational force, gravitational force between the particles is independent of the presence or absence of other particles; so the principle of superposition is valid i.e. force on a particle due to number of particles is the resultant of forces due to individual particles i.e. 

  • Question 2
    1 / -0

    The following question has four choices out of which ONLY ONE is correct.

    The gravitational potential energy of a body at a distance 'r' from the centre of earth is U. What will be its weight at a distance R from the centre of the Earth?

  • Question 3
    1 / -0

    The following question has four choices out of which ONLY ONE is correct.

    Four particles of mass m each are placed at four corners of a square of side a. What is the work needed to be done on this system to increase the side of the square to 2a?

  • Question 4
    1 / -0

    The following question has four choices out of which ONLY ONE is correct.

    If a body is raised from the surface of Earth upto height 'R', what is the change in potential energy?

  • Question 5
    1 / -0

    Kepler's second law states that the straight line joining a planet to the sun sweeps out equal areas in equal time. This statement is equivalent to which of the following statements?

  • Question 6
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    According to Kepler’s Law of periods, The  _______________ of the time period of revolution of a planet is proportional to the cube of the  ___________ of the ellipse traced out by the planet

    Solution

    Kepler's 3rd Law: T2 = a3. Kepler's 3rd law is a mathematical formula. It means that if you know the period of a planet's orbit (T = how long it takes the planet to go around the Sun), then you can determine that planet's distance from the Sun (a is the length of the semimajor axis of the planet's orbit)

     

  • Question 7
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    According to Kepler’s Law of areas,

    Solution

    Kepler law of areas describes the speed of a planet travelling in an elliptical orbit around the sun. A planet’s orbital speed changes, depending on how far it is from the Sun. The closer a planet is to the Sun, the stronger the Sun’s gravitational pull on it, and the faster the planet moves. The farther it is from the Sun, the weaker the Sun’s gravitational pull, and the slower it moves in its orbit. So, statement of Kepler's law of area is "The line joining the sun to the planet sweeps out equal areas in equal interval of time". i.e. areal velocity is constant.

     

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