Home
Class 11
PHYSICS
Four particles each of mass m are kept a...

Four particles each of mass `m` are kept at the four vertices of a square of side 'a' . Find graitational potential energy of this system.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Total pairs `=(4(4 - 1))/(2) = 6`. Four pairs are at a
distance of `a` and two pairs at distance of `sqrt(2) a`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    DC PANDEY|Exercise Exercise 13.6|3 Videos

  • GRAVITATION

    DC PANDEY|Exercise Exercise 13.7|5 Videos

  • GRAVITATION

    DC PANDEY|Exercise Exercise 13.4|4 Videos

  • GENERAL PHYSICS

    DC PANDEY|Exercise INTEGER_TYPE|2 Videos

  • KINEMATICS

    DC PANDEY|Exercise INTEGER_TYPE|11 Videos

Similar Questions

Explore conceptually related problems

Eight particles of mass 'm' each are placed at the verties of a cube of side 'a' . Find gravitational potential energy of this system . .

Find the gravitational potential energy of a system of four particles, each of mass m placed at the verticles of a square of side l . Also obtain the gravitaitonal potential at centre of the square.

Knowledge Check

  • Three particles each of mass m are palced at the corners of an equilateral triangle of side b . The gravitational potential energy of the system of particle is

    A
    `(-3Gm^(2))/(2b)`
    B
    `(-Gm^(2))/(2b)`
    C
    `(-3Gm^(2))/b`
    D
    `(-Gm^(2))/b`

  • Four particles each of mass m are placed at the vertices of a square of side l. the potential at the centre of square is

    A
    `-2sqrt(2) (Gm)/l`
    B
    `-3sqrt(2) (Gm)/l`
    C
    `-2(Gm)/l`
    D
    `-4sqrt(2) (Gm)/l`

  • Three particles each of mass m are kept at the vertices of an equilateral triangle of side L . What is the gravitational potential at the centroid of the triangle?

    A
    `-(3GM)/(L)`
    B
    `-(sqrt(3)GM)/(L)`
    C
    `-(3sqrt(3)GM)/(L)`
    D
    `-(GM)/(3sqrt(3)L)`

    • Similar Questions

    Explore conceptually related problems

    Find the potential energy of a system of four particles each of mass 2m kept at the vertices of a square of side x. Also find the potential at the centr of the square.

    Four particles each of mass 'm' are placed at the four vertices of a square 'a' .Find net force on any one the particle.

    Four particles each of mass m are kept at the four corners of a square of edge a. Find the moment of inertia of the system about an axis perpendicular to the plane of the system and passing through the centre of the square.

    Four particles each of mass m are kept at the four corners of a square of edge a. Find the moment of inertias of the system about a line perpendicular to the plane of the square and passing through the centre of the square.

    If four idential particles each of mass, are kept at the four vertices of a square of side length a, the gravitational force of attraction on any one of the articles is

    Home
    Profile