Home
Class 12
PHYSICS
The gravitational field due to a mass di...

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.

Text Solution

Verified by Experts

`V(x)=-int_(oo)^(x)ldx =-K int_(oo)^(x)x^(-3//2)dx= +2k [(1)/(sqrt(x))]_(oo)^(x)=(2k)/(sqrt(x))`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    AAKASH INSTITUTE|Exercise Try Yourself|33 Videos
  • GRAVITATION

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION -A (Objective Type Questions (one option is correct))|50 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - D|13 Videos
  • KINETIC THEORY

    AAKASH INSTITUTE|Exercise EXERCISE (ASSIGNMENT) SECTION - D Assertion - Reason Type Questions|10 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 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 .

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.

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

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 :

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=A/sqrt(x^2+a^2) . Find the gravitational field.

AAKASH INSTITUTE-GRAVITATION -ASSIGNMENT SECTION - D (ASSERTION-REASON TYPE QUESTIONS)
  1. The gravitational field due to a mass distribution is given by l=kx^(-...

    Text Solution

    |

  2. A : The gravitational force does not depend on the intervening med...

    Text Solution

    |

  3. A : The acceleration due to gravity for an is independent from its m...

    Text Solution

    |

  4. A : If angular speed of the earth increases , the effective g will d...

    Text Solution

    |

  5. A : The gravitational field intensity is zero everywhere inside a...

    Text Solution

    |

  6. A: The value of potential energy depends on the reference taken fo...

    Text Solution

    |

  7. A: When a satellite is orbiting then no energy is required to keep...

    Text Solution

    |

  8. An astronaut inside a satellite is in a state of weightlessness becaus...

    Text Solution

    |

  9. A: The speed of a planet is maximum at perihelion . R : The ang...

    Text Solution

    |

  10. A : Kepler's third law of planetary motion is valid only for invers...

    Text Solution

    |

  11. A : Kepler's law cannot be used for asteroids and comets . R: Ast...

    Text Solution

    |

  12. A : During orbital motion of planet around the sun work done by ...

    Text Solution

    |

  13. A : Angular momentum of a satellite about a planet is constant . R...

    Text Solution

    |

  14. A : Gravitational potential is constant everywhere inside a spherica...

    Text Solution

    |

  15. A : Field created by the point mass in its surroundings is a non - u...

    Text Solution

    |

  16. A: If the force of gravitation in inversely proportional to the dis...

    Text Solution

    |

  17. A : Work done by the gravitational force is positive when the two ...

    Text Solution

    |