Home
Class 11
PHYSICS
Masses of 1 kg each are placed 1 m, 2 m,...

Masses of `1 kg` each are placed `1 m, 2 m, 4 m, 8 m`, ... from a point `P`. The gravitational field intensity at `P` due to these masses is

A

`G`

B

`G`

C

`4G`

D

`4G//3`

Text Solution

Verified by Experts

The correct Answer is:
D
`E=(Gxx1)/(1^(2))=(Gxx1)/(2^(2))=(Gxx1)/(4^(2))+………+1`
`E=G[1+1/4+1/16+………….]`
`=G1/(1-1/4)=(4G)/3`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Multiple Correct|24 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Assertion- Reasoning|13 Videos

  • GRAVITATION

    CENGAGE PHYSICS|Exercise Subjective|15 Videos

  • FLUID MECHANICS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|1 Videos

  • KINEMATICS-1

    CENGAGE PHYSICS|Exercise Integer|9 Videos

Similar Questions

Explore conceptually related problems

Infinite number of masses, each of mass m, are placed along a straight line at distances of r, 2r, 4r, 8r, etc. from a reference point O.Then the gravitational field intensity at point O will be

Find the potential V at P in the gravitational field of fixed point mass M .

Two bodies of masses 2 kg and 8 kg are separated by a distance of 9 m. The point where the resultant gravitational field intensity is zero at the distance of

Infinite number of masses, each of mass m , are placed along a straight line at distance of r, 2r, 4r, 8r , etc. from reference point O . Find the (i) gravitational field intensity and (ii) gravitational potential at point O .

A number of particles each of mass 0.75kg are placed at distances 1m, 2m, 4m, 8m etc. from origin along positive X axis. the intensity of gravitational field at the origin will be -

Three equal masses of 1 kg each are placed at the vertices of an equilateral triangle of side 1 m, then the gravitational force on one of the masses due to other masses is (approx.)

Two particle of masses 4kg and 8kg are kept at x=-2m and x=4m respectivley. Then, the gravitational field intensity at the origin is

Two concentric spherical shells of masses and radii m_(1), r_(1) and m_(2), r_(2) respectively are as shown. The gravitational field intensity at point P is

CENGAGE PHYSICS-GRAVITATION-Single Correct
  1. The value of g at a certain height h above the free surface of the ear...

    Text Solution

    |

  2. A plenet moving along an elliptical orbit is closest to the sun at a d...

    Text Solution

    |

  3. Masses of 1 kg each are placed 1 m, 2 m, 4 m, 8 m, ... from a point P....

    Text Solution

    |

  4. Suppose that the acceleration of a free fall at the surface of a dista...

    Text Solution

    |

  5. Three uniform spheres each having a mass M and radius a are kept in su...

    Text Solution

    |

  6. A body of mass m rises to a height h=R//5 from the earth's surface whe...

    Text Solution

    |

  7. A man weighs 80 kg on the surface of earth of radius r. At what height...

    Text Solution

    |

  8. The gravitational potential energy of an isolated system of three part...

    Text Solution

    |

  9. A diametrical tunnel is dug across the earth. A ball dropped into the ...

    Text Solution

    |

  10. Consider two solid uniform spherical objects of the same density rho. ...

    Text Solution

    |

  11. A body starts from rest from a point distant r(0) from the centre of t...

    Text Solution

    |

  12. Four particles, each of mass M and equidistant from each other, move a...

    Text Solution

    |

  13. The mass of the earth is 81 times the mass of the Moon and the distanc...

    Text Solution

    |

  14. Three equal masses m are placed at the three corners of an equilateral...

    Text Solution

    |

  15. Suppose the gravitational force varies inversely as the nth power of d...

    Text Solution

    |

  16. Two astronauts have deserted their spaceship in a region of space far ...

    Text Solution

    |

  17. A satellite of mass m revolves around the earth of radius R at a hight...

    Text Solution

    |

  18. A projectile is fired from the surface of earth of radius R with a vel...

    Text Solution

    |

  19. An artificial satellite is moving in a circular orbit around the earth...

    Text Solution

    |

  20. Two concentric shells of masses M(1) and M(2) are having radii r(1) an...

    Text Solution

    |