In the basic CsCl crystal structure, Cs + and Cl - ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight Cs + ions on the Cl - ion is

Question

In the basic CsCl crystal structure, Cs + and Cl - ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight Cs + ions on the Cl - ion is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/3166c9b0cba394ab11cb2adad9a4a6cc-.png" /> (A) (1/4 π ϵ0) (4 e2/3 a2) (B) (1/4 π ϵ0) (16 e2/3 a2) (C) (1/4 π ϵ0) (32 e2/3 a2) (D) zero

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Symmetry indicates the net electric field of Cs+ ions at the centre is 0

Q. In the basic $C s Cl$ crystal structure, $C s^{+}$ and $C l^{-}$ ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight $C s^{+}$ ions on the $C l^{-}$ ion is

$\frac{1}{4 π ϵ _{0}} \frac{4 e ^{2}}{3 a ^{2}}$

$\frac{1}{4 π ϵ _{0}} \frac{16 e ^{2}}{3 a ^{2}}$

$\frac{1}{4 π ϵ _{0}} \frac{32 e ^{2}}{3 a ^{2}}$

zero

Symmetry indicates the net electric field of $C s^{+}$ ions at the centre is $0$

Q. In the basic CsCl crystal structure, Cs+ and Cl− ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight Cs+ ions on the Cl− ion is

4πϵ0​1​3a24e2​

4πϵ0​1​3a216e2​

4πϵ0​1​3a232e2​