Four identical point masses,each of mass m an | vedclass

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

Question

(C) According to the principle of conservation of energy,the initial total energy of the system must equal the final total energy.Since the particles

Vedclass · Accepted Answer

$\frac{q^{2}}{a}(4+\sqrt{2}) k$

Vedclass · Answer

(C) According to the principle of conservation of energy,the initial total energy of the system must equal the final total energy.Since the particles are released from rest,the initial kinetic energy $KE_i = 0$.The initial potential energy $PE_i$ is the sum of the electrostatic potential energies of all pairs of charges.In a square of side $a$,there are $4$ pairs of charges at distance $a$ (sides) and $2$ pairs of charges at distance $\sqrt{2}a$ (diagonals).$PE_i = 4 	imes \frac{kq^2}{a} + 2 	imes \frac{kq^2}{\sqrt{2}a} = \frac{kq^2}{a} (4 + \sqrt{2})$.When the particles are infinitely far apart,the final potential energy $PE_f = 0$.Thus,$KE_f = PE_i = \frac{kq^2}{a} (4 + \sqrt{2})$.

Four identical point masses,each of mass $m$ and carrying charge $+q$,are placed at the corners of a square of side $a$ on a frictionless horizontal surface. If the particles are released simultaneously,the kinetic energy of the system when they are infinitely far apart is

Similar Questions

Point charges are placed at the vertices of a regular hexagon with center $O$ and side length $L$ as shown in the figure. Given $K = \frac{q}{4\pi \epsilon_0 L^2}$,which of the following statements is correct?

Assertion: Consider two identical charges placed at a distance $2d$ apart along the $x-$axis. The equilibrium of a positive test charge placed at the point $O$ midway between them is stable for displacements along the $x-$axis.
Reason: The net force on the test charge at point $O$ is zero.

$A$ particle of mass $2\,g$ and charge $1\,\mu C$ is released from a distance of $1\,m$ from a fixed charge of $1\,mC$. What will be the velocity of the particle at a distance of $10\,m$ from the fixed charge (in $m/s$)?

Which of the following physical quantities have the same dimensions?

Three point charges $q_1, q_2, q_3$ are placed at the vertices of a triangle. If the forces on $q_1$ and $q_2$ are $(2\hat{i} - \hat{j}) \, N$ and $(\hat{i} + 3\hat{j}) \, N$,respectively,then what will be the force on $q_3$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module