Home
Class 12
PHYSICS
A system consists three particles, each ...

A system consists three particles, each of mass `M` lying on the corners of an equilateral triangle of side `2l`. If the length of each side of the triangle is decreased to `l`, without the gain in kinetic energy of the particles, the work done by an external agent is given by

A

`(-3GM^(2))/(2l)`

B

`(3GM^(2))/(2l)`

C

`(GM^(2))/(l)`

D

`(-1.5GM)/(l)`

Text Solution

AI Generated Solution

To solve the problem, we need to calculate the work done by an external agent when the length of each side of the triangle formed by three particles is decreased from \(2l\) to \(l\). The work done can be determined by finding the change in potential energy of the system. ### Step-by-Step Solution: 1. **Identify the Initial Configuration**: - The three particles, each of mass \(M\), are placed at the vertices of an equilateral triangle with side length \(2l\). 2. **Calculate the Initial Potential Energy**: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Three particle each of mass m are placed at the corners of equilateral triangle of side l Which of the following is/are correct ?

Three particles each of mass m are kept at vertices of an equilateral triangle of side L. The gravitational field at centre due to these particle is

Three particles of equal mass 'm' are situated at the vertices of an equilateral triangle of side L . The work done in increasing the side of the triangle to 2L is

Three masses 2 kg , 3kg and 4kg are lying at the corners of an equilateral triangle of side I. The X coordinate of center of mass is

Three particles A,B and C each of mass m are lying at the corners of an equilateral triangle of side L . If the particle A is released keeping the particles B and C fixed , the magnitude of instantaneous acceleration of A is

Three point masses each of mass m are placed at the corners of an equilateral triangle of side b. The moment of inertia of the system about an axis coinciding with one side of the triangle is

Consider the charges q,q and -q placed at the vertices of an equilateral triangle of each side l. What is the force on each charge ?

Three identical rods, each of mass m and length l , form an equaliteral triangle. Moment of inertia about one of the sides is

Three particles, each of mass 200 g are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis a. joining two of the particles b. passing through one of the particle perpendicular to the plane of the particles.

Electric charges q, q, –2q are placed at the corners of an equilateral triangle ABC of side l. The magnitude of electric dipole moment of the system is