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Q.

In the basis CsCl crystal structure, Cs+ and Cl^– ions are arranged in a bcc configuration as shown in the figure. The net electrostatic force exerted by the eight Cs⁺ ions on the Cl^– ions is

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a

zero

b

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

c

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

d

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

answer is D.

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Detailed Solution

Net electric field at centre of cube is zero.

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