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Gravitation Test - 6

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Gravitation Test - 6
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The path of a planet around the sun is elliptical as shown in the figure.Its velocity is the greatest at


    Solution
    The lesser is the distance of the planet form the sun, the greater is the speed.
  • Question 2
    1 / -0
    Which of the following is not a statement of Kepler`s Law?
    Solution
    According to the Kepler's law, each planet revolves around the sun in an elliptical orbit and not in a circular orbit.
  • Question 3
    1 / -0
    Compare the area swept by the line joining planet and sun at apogee (closest point in orbit) and perigee (farthest point in orbit) during a time interval `T`.
    Solution
    According to the Kepler's second law, each planet sweeps an equal area in equal time intervals.
  • Question 4
    1 / -0
    The radius of a planet`s orbit increases by a factor of eight. Correspondingly,time period changes
    Solution
  • Question 5
    1 / -0
    A planet goes around the sun twice as many times as earth in a given time interval.
    Solution
    A planet goes around the sun twice as many times as the earth in a given time interval as it has a lower radius of orbit.
  • Question 6
    1 / -0
    Let vo be the velocity of orbit around a planet. The escape velocity of the planet is
    Solution
  • Question 7
    1 / -0
    The path of an object released from earth at a velocity less than escape velocity and more than orbital velocity is called
    Solution
    The path of an object released from the earth, at a velocity less than the escape velocity and more than the orbital velocity, is called an incomplete elliptical.
  • Question 8
    1 / -0
    The acceleration due to earth`s gravity ______ when we go a little distance inside the earth. It ______ when we go a little distance above the earth.
    Solution
    The acceleration due to the earth`s gravity decreases when we go a little distance inside the earth. Also, it decreases when we go a little distance above the earth.
  • Question 9
    1 / -0
    The rate of fall of g on going up the earth`s surface is ______ the rate when going down the earth`s surface.
    Solution
  • Question 10
    1 / -0
    An object is at a height R/2 above earth, what is the value of acceleration due to gravity at the instant?
    Solution
  • Question 11
    1 / -0
    What is the gravitational potential energy of the following system?


    The masses are on the four sides of a square of side a. (Find k if the answer is kGm2/a.)
    Solution
  • Question 12
    1 / -0
    What is the gravitational potential at the surface of earth?(Assume zero at infinity.)
    Solution
  • Question 13
    1 / -0
    What is the change in potential energy of a mass `m` as it moves from a distance d to d/2 from a mass `M`?
    Solution
  • Question 14
    1 / -0
    Gravity is a conservative force. Which of the following is incorrect?
    Solution
    For the conservative forces, work done is independent of the path followed. The force between the two particles is always directed towards the line joining the particles. The total mechanical energy is conserved, but there is a change in the kinetic energy as well as in the potential energy.
  • Question 15
    1 / -0
    Escape velocity from earth is approximately
    Solution
    Escape velocity from the earth is approximately 11.2 km/s.
  • Question 16
    1 / -0
    An object is orbiting at double its original radius. Its orbital velocity has changed by a factor of
    Solution
  • Question 17
    1 / -0
    What is the orbital velocity of a satellite orbiting the earth just at the surface?
    Solution
  • Question 18
    1 / -0
    What is the change in potential energy as a body climbs a distance h and descends a distance h/2? (Assuming g being constant)
    Solution
  • Question 19
    1 / -0
    If the earth is replaced by a small point sized particle of the same mass, it is geodesic centre. How will the force of gravity change at the present surface of earth? (Assuming earth to be a perfect sphere)
    Solution
    As the R & M remains the same, so g will remain the same.
  • Question 20
    1 / -0
    Time period of a pendulum is independent of
    Solution
  • Question 21
    1 / -0
    A pendulum has a velocity v at the lowest point. What is the maximum height reached by it?
    Solution
  • Question 22
    1 / -0
    Two bodies of mass 2 m and 3 m are approaching each other at velocity 4v and 5v respectively. After a while their velocities become 6v and 7v respectively. What is the total change in potential energy?
  • Question 23
    1 / -0
    What causes tides?
    (i) Attraction of sun
    (ii) Attraction of moon
    (iii) Attraction of earth
    Solution
    Tides are the periodic rises and falls of large bodies of water. Tides are caused by the gravitational interaction between the earth and the moon. The gravitational attraction of the moon causes the oceans to bulge out in the direction of the moon.
  • Question 24
    1 / -0
    The mass of a satellite increases by a factor of two. The orbital velocity
    Solution
    As the orbital velocity is independent of the mass of the satellite, so the orbital velocity will remain the same.
  • Question 25
    1 / -0
    An object shoots off perpendicularly from the earth with a velocity 4/5 of the escape velocity. Upto what height will it fly before coming crashing down?
    Solution
  • Question 26
    1 / -0
    Which of the following statements are true?
    (i) Orbital velocity is more than escape velocity.
    (ii) Escape velocity is times the orbital velocity.
    (iii) Orbital velocity increases with radius.
    (iv) A body with a velocity equal to the orbital velocity will orbit the planet in a circular path.
    Solution
    Escape velocity is times the orbital velocity. A body with a velocity equal to the orbital velocity will orbit the planet in a circular path.
  • Question 27
    1 / -0
    The acceleration due to gravity on moon is one-sixth that on earth. A high-jumper can jump 2 m on earth. What distance can he jump on the moon?
    Solution
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