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CBSE

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Physics
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NEET Physics : Gravitation

Multiple Choice Questions

11.

An alternating electric field of frequency v is applied across the dees (radius =R ) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it are given by

  • straight B space equals mv over straight e and space straight K equals 2 mπ squared straight v squared straight R squared
  • straight B equals fraction numerator 2 πmv over denominator straight e end fraction space and space straight K space equals straight m squared straight pi space straight R squared
  • straight B equals space fraction numerator 2 πmv over denominator straight e end fraction space and space straight K space equals 2 mπ squared straight v squared straight R squared
  • straight B equals space fraction numerator 2 πmv over denominator straight e end fraction space and space straight K space equals 2 mπ squared straight v squared straight R squared


12.

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2 m, 4 m, 8 m, respectively from the origin. The resulting gravitational potential due to this system at the origin will be

  • -G

  • negative 8 over 3 G
  • negative 4 over 3 G
  • negative 4 over 3 G


13.

A body projected vertically from the earth reaches a height equal to earth's radius before returning to the earth. The power exerted by the gravitational force is greatest

  • at the instant just before the body hits the earth

  • it remains constant all through

  • at the instant just after the body is projected

  • at the instant just after the body is projected



14.

A boy standing at the t op of a tower of 20 m height drops a stone. Assuming g = 10 ms-2, the velocity with which it hits the ground is 

  • 20 m/s

  • 40 m/s

  • 5 m/s

  • 5 m/s



15.

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then,

  • the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant

  • the total mechanical energy of S varies periodically with time

  • the linear momentum of S remains constant in magnitude

  • the linear momentum of S remains constant in magnitude



16.

A remote sensing satellite of earth revolves in a circular orbit at a height of 0.25 x 106 m above the surface of the earth. if earth 's radius is 6.38 x 106 m and g = 9.8 ms-2 then the orbital speed of the  satellite is 

  • 7.76 kms-1

  • 8.56 kms-1

  • 9.13 kms-1

  • 9.13 kms-1



17.

A particle of mass m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R.G are gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth is 

  • square root of fraction numerator 2 GM over denominator 2 end fraction end root
  • square root of fraction numerator 2 GM over denominator straight R squared end fraction end root
  • square root of 2 gR squared end root
  • square root of 2 gR squared end root


18.

A particle of mass M is situated at the centre of spherical shell of mass and radius a. Th magnitude of the gravitational potential at a points situated at a/2 distance from the centre, will be

  • 2GM/a

  • 3GM/a

  • 4GM/a

  • 4GM/a



19.

The radii of circular orbits of two satellites A and B of the earth are 4R and R, respectively. If the speed of satellite A is 3v. then the speed of satellite B will be

  • 3v/4

  • 6v

  • 12 v

  • 12 v



20.

A particle of mass M is situated at the centre of a spherical shell of same mass and radius a.The gravitational potential at a point situated  at a/2 distance  from the centre will be

  • -3 GM/ a

  • -2 GM/a

  • -GM/a

  • -GM/a



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