The following figure shows the variation of p | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Equilibrium points occur where the force $F = -\frac{dV}{dx} = 0$,which corresponds to the points where the slope of the $V(x)$ versus $x$ graph i

Vedclass · Accepted Answer

Three equilibrium points,one stable two unstable

Vedclass · Answer

(C) Equilibrium points occur where the force $F = -\frac{dV}{dx} = 0$,which corresponds to the points where the slope of the $V(x)$ versus $x$ graph is zero (i.e.,the peaks and valleys of the curve).Looking at the graph,there are three such points: two local maxima (peaks) and one local minimum (valley).$1$. At a local minimum,the potential energy is at a minimum,so $\frac{d^2V}{dx^2} > 0$. This represents a stable equilibrium point.$2$. At a local maximum,the potential energy is at a maximum,so $\frac{d^2V}{dx^2} Since there are two peaks (unstable) and one valley (stable),there are three equilibrium points in total: one stable and two unstable.

The following figure shows the variation of potential energy $V(x)$ of a particle with distance $x$. The particle has

Similar Questions

$A$ mass of $M \ kg$ is suspended by a weightless string of length $\ell$. The horizontal force required to displace it until the string makes an angle of $45^\circ$ with the initial vertical direction is:

For a system of conservative forces,the potential energy is given by the formula $U = ax^2 - bx$,where $a$ and $b$ are constants. The equilibrium position and the equilibrium potential energy will be,respectively:

$A$ uniform chain of mass $M$ and length $L$ is lying on a smooth horizontal table,with half of its length hanging down. The work done in pulling the entire chain up onto the table is

The potential energy of a body is given by $U = A - Bx^2$ (where $x$ is the displacement). The magnitude of the force acting on the particle is:

$A$ chain of mass $M$ and length $L$ is placed on a smooth table such that $1/n$ of its length is hanging over the edge of the table. The hanging part of the chain is pulled back onto the surface of the table. Find the work done to pull it up.

Vedclass Test Series

Exam Paper Generator

Online Exam Module