What is the net force on a Cl^{-} ion placed | vedclass

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

Question

(A) In a $CsCl$ crystal,the $Cs^{+}$ ions are located at the eight corners of a cube of side length $a$.The $Cl^{-}$ ion is placed at the exact centre

Vedclass · Accepted Answer

Zero

Vedclass · Answer

(A) In a $CsCl$ crystal,the $Cs^{+}$ ions are located at the eight corners of a cube of side length $a$.The $Cl^{-}$ ion is placed at the exact centre of this cube.Due to the symmetry of the $bcc$ structure,each $Cs^{+}$ ion at a corner exerts an electrostatic force on the central $Cl^{-}$ ion.For every $Cs^{+}$ ion,there is an identical $Cs^{+}$ ion located diametrically opposite to it with respect to the centre.The forces exerted by these pairs of $Cs^{+}$ ions on the central $Cl^{-}$ ion are equal in magnitude and opposite in direction.According to the principle of superposition,the vector sum of all these forces is zero.Therefore,the net electrostatic force on the $Cl^{-}$ ion is zero.

What is the net force on a $Cl^{-}$ ion placed at the centre of the $bcc$ structure of $CsCl$?

Similar Questions

Two electrons are separated by a distance of $1\,\mathring{A}$. What is the Coulomb force between them?

Two point charges $A$ and $B$ with magnitudes $+4q$ and $-4q$ are placed along a line separated by a distance $r$. The force acting between them is $F$. If $25\%$ of the charge from point $A$ is transferred to point $B$,the force between the charges now becomes:

The Coulombian repulsive force between two alpha particles kept at a distance of $3 \ cm$ in air is . . . . . . .

In a right-angled triangle $ABC$,$AB = 3 \ cm$,$BC = 4 \ cm$,and $\angle ABC = \frac{\pi}{2}$. Charges of $+15 \ e.s.u.$,$+12 \ e.s.u.$,and $-20 \ e.s.u.$ are placed at $A$,$B$,and $C$ respectively. What is the net force on the charge at $B$ in $dynes$?

$A$ charge $q$ is placed at the centre of the line joining two equal charges $Q$. The system of the three charges will be in equilibrium if $q$ is equal to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module