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Question: Answered & Verified by Expert
In the basic $\mathrm{CsCl}$ crystal structure, $\mathrm{Cs}^{+}$ and $\mathrm{Cl}^{-}$ions are arranged in a bcc configuration as shown in the figure. The net electrostatic force exerted by the eight $\mathrm{Cs}^{+}$ions on the $\mathrm{Cl}^{-}$ions is

PhysicsElectrostaticsAIIMSAIIMS 2004
Options:
  • A $\frac{1}{4 \pi \varepsilon_0} \frac{4 e^2}{3 a^2}$
  • B $\frac{1}{4 \pi \varepsilon_0} \frac{16 e^2}{3 a^2}$
  • C $\frac{1}{4 \pi \varepsilon_0} \frac{32 e^2}{3 a^2}$
  • D zero.
Solution:
2896 Upvotes Verified Answer
The correct answer is: zero.
The electrostatic force due to one $\mathrm{Cs}^{+}$ion is balanced by diagonally opposite other $\mathrm{Cs}^{+}$. Thus the net electrostatic force on $\mathrm{Cl}^{-}$ion due to eight $\mathrm{Cs}^{+}$ ions is zero.

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