Home
Class 11
PHYSICS
The gravitational field due to a mass di...

The gravitational field due to a mass distribution is given by `E=-K//x^3` in x-direction. Taking the gravitational potential to be zero at infinity, find its value at a distance `x`.

Text Solution

Verified by Experts

The potential at a distance x is
`V=-int(Edx)=int_(oo)^(x)K/(x^(3))dx=[(-K)/(2x^(2))]_(oo)^(x)=(-K)/(2x^(2))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    NARAYNA|Exercise EVALUATE YOURSELF -1|3 Videos
  • GRAVITATION

    NARAYNA|Exercise EVALUATE YOURSELF -2|5 Videos
  • GRAVITATION

    NARAYNA|Exercise LEVEL-VI|42 Videos
  • FRICTION

    NARAYNA|Exercise Passage type of questions I|6 Videos
  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-III(C.W)|52 Videos

Similar Questions

Explore conceptually related problems

The gravitational field due to a mass distribution is E=K//x^(3) in the x - direction. ( K is a constant). Taking the gravitational potential to be zero at infinity, its value at a distance x is

The gravitational field due to a mass distribution is E=(A)/(x^(2)) in x-direction. Here, A is a constant, Taking the gravitational potential to be zero at infinity, potential at x is

The gravitational field due to a mass distribution is given by l=kx^(-3//2) in x-direction, where k is a positive constant. Taking potential to be zero at infinity, find its value at a distance x.

On the x - axis and at a distance x from the origin, the gravitational field due to a mass distribution is given by (Ax)/((x^2+a^2)^(3//2)) in the x - direction. The magnitude of gravitational potential on the x - axis at a distance x, taking its value to be zero at infinity , is :

The gravitational field due to a mass distribution is given by vec(l)=(k)/(x^(2))hat(i) , where k is a constant. Assuming the potential to be zero at infinity, find the potential at a point x = a.

Due to certain mass distribution, the gravitational field along X-axis is given as I = (K)/(r^(4)) (where K is a constant). Considering the value of gravitational potential to be zero at infinity, its value at a distance x will be

The gravitational potential due to a mass distrubution is given by V=(8x)/(x^(2)+p^(2)) . Find gravitational field at x = p.

The gravitational potential due to a mass distribution is V = 3X^(2) Y+ Y^(3) Z . Find the gravitational filed.

NARAYNA-GRAVITATION-ILLUSTRATION
  1. A man can jump 1.5m on the Earth. Calculate the approximate height he ...

    Text Solution

    |

  2. Two bodies of masses 100kg and 10,000kg are at a distance of 1m apart....

    Text Solution

    |

  3. The gravitational field due to a mass distribution is given by E=-K//x...

    Text Solution

    |

  4. A particle of mass M is placed at the centre of a uniform spherical sh...

    Text Solution

    |

  5. The gravitational field in a region is given by vecE=-(20Nkg^(-1))(ha...

    Text Solution

    |

  6. Calculate the gravitational potential at the centre of base of a solid...

    Text Solution

    |

  7. The gravitational field in a region is given by the equation E=(5i + 1...

    Text Solution

    |

  8. Find the gravitational potential energy of a system of four particles ...

    Text Solution

    |

  9. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

    Text Solution

    |

  10. If Earth has mass nine times and radius twice that of the planet Mars,...

    Text Solution

    |

  11. A rocket is fired with a speed v=2sqrt(gR) near the earth's surface an...

    Text Solution

    |

  12. A planet in a distant solar systyem is 10 times more massive than the ...

    Text Solution

    |

  13. A satellite orbits the earth at a height of 400km above the surface. H...

    Text Solution

    |

  14. A body is projected vertically upwards from the surface of the earth w...

    Text Solution

    |

  15. A particle is fired vertically upward fom earth's surface and it goes ...

    Text Solution

    |

  16. If a satellite is revolving around a planet of mass M in an elliptical...

    Text Solution

    |

  17. A rocket is fired vertically from the surface of Mars with a speed of ...

    Text Solution

    |

  18. Two heavy sphere each of mass 100 kg and radius 0.10 m are placed 1.0 ...

    Text Solution

    |

  19. Two heavy spheres each of mass 100kg and radius 0.1m are placed 1m apa...

    Text Solution

    |

  20. The mass of a spaceship is 1000kg. It is to be launched from the earth...

    Text Solution

    |