Self Studies

Gravitation Tes...

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  • Question 1
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    The direction of the universal gravitational force between particles of masses m1 and m2 is:

  • Question 2
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    The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is just as if the entire mass of the shell is

  • Question 3
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    If the radius of Earth decreases by 1% and its mass remains the same, then the acceleration due to gravity

  • Question 4
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    The gravitational force on point mass m1 due to point mass m2, m3 & m4 is:

  • Question 5
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    Two bodies of masses m and M are placed at a distance d apart. The gravitational potential at the position where the gravitational field due to them is zero is 

  • Question 6
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    A ‘central’ force is always directed

  • Question 7
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    The square of the angular velocity of a planet around the Sun is proportional to (where R is the radius of the orbit of the planet around the Sun)

  • Question 8
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    If the distance between the Sun and the Earth is r, then the angular momentum of Earth around the Sun is proportional to

  • Question 9
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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

  • Question 10
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    Directions: The following question has four choices out of which ONLY ONE is correct.

    The gravitational field in a region is given by I = (3i + 4j) N / Kg. Work done by this field is zero when a particle is moving along the line. Find the line.

  • Question 11
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    According to Kepler’s Law of orbits:

  • Question 12
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    According to Kepler’s Law of areas,

  • Question 13
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    The angular velocity of a planet revolving in an elliptical orbit around the sun __________ when it comes near the sun

  • Question 14
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    Two satellites of Earth, S1 and S2, are moving in the same orbit. The mass of S1 is four times the mass of S2. Which of the following statements is true?

  • Question 15
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    A tunnel is dug along a diameter of the earth. What is the quantity of the force acting on a particle of mass m placed in the tunnel at a distance r from the surface of earth? Assume Mass of the earth is M and the radius of earth is R

  • Question 16
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    Four particles of a mass M are located at the vertices of a square with side L. What is the gravitational potential due to this at the centre of the square?

  • Question 17
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    A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at a distance 2R from the centre of the sphere. A spherical cavity of radius R/2 is now made in the sphere as shown in the figure.






    The sphere with cavity now applies a gravitational force F2 on the same particle. The ratio of F2 : F1 is

  • Question 18
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    Directions: The following question has four choices out of which ONLY ONE is correct.

    Three particles each of mass 'm' are placed at the corners of an equilateral triangle of side 'b'. What will be the gravitational potential energy of the system of particles?

  • Question 19
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    Newton’s law of universal gravitation states that the gravitational force of attraction between any two particles of masses m1 and m2 separated by a distance r has the magnitude

  • Question 20
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    To find the resultant gravitational force acting on the particle m due to a number of masses we need to use:

  • Question 21
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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

  • Question 22
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    Directions: 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 23
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    Directions: 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 24
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    Directions: 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 25
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    The area ΔA swept out by a planet of mass m in time interval Δt is related to the angular momentum by:

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