Home
Class 12
PHYSICS
Find the potential energy of a system of...

Find the potential energy of a system of four particles placed at the vertices of a square of side l. also obtain the potential at the centre of the square.

Text Solution

Verified by Experts

The correct Answer is:
`(-5.41Gm^(2))/(l),(-4sqrt(2)Gm)/(l)`

Potential at centre
`=sum(GM)/(r)=(-4GM)/(r)=-(4sqrt(2)GM)/(l)`
Potential eenrgy of the system
`-(4GM^(2))/(l)-(2GM^(2))/(sqrt(2)l)=-(5.41GM^(2))/(l)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    ALLEN|Exercise Exercise 4 B (Brain Storming Subjective Exercise)|20 Videos

  • GRAVITATION

    ALLEN|Exercise Exercise 5 A (Previous Year Questions)|26 Videos

  • GRAVITATION

    ALLEN|Exercise Exercise 3 (Miscellaneous Type Questions)|20 Videos

  • GEOMETRICAL OPTICS

    ALLEN|Exercise subjective|14 Videos

  • KINEMATICS-2D

    ALLEN|Exercise Exercise (O-2)|46 Videos

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 vertices of a square of side l. the potential at the centre of square is

Find the potential energy of a system of 3 particles kept at the vertices of an equilateral triangle of side r.

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.

Four point charges are placed at the corners of a square of side l. Calculate potential at the centre of square.

Find the potential energy of a system of eight particles of mass M placed at the vertices of a cube of side L. neglect the self energy of the particles.

Find the electric potential energy of the system of charges

Find the potential energy of 4-particles, each of mass 1 kg placed at the four vertices of a square of side length 1 m.

A charge Q is placed at each corner of a cube of side a. The potential at the centre of the cube is

Three identical point objects each of mass m are placed at the vertices of an equilateral triange of side l . What is the gravitational potential at the centre of the equilateral triangle due to the point masses?