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JEE Main202315 Apr 2023Morning ShiftChemistrySolid StateActual

Which of the following expressions is correct in case of a CsCl unit cell (edge length ‘ a ’) ?

Options

  1. Ar Cs + + r Cl - = a 2
  2. Br Cs + + r Cl - = 3 2 a
  3. Cr Cs + + r Cl - = a 2
  4. Dr Cs + + r Cl - = a

Correct answer

B. r Cs + + r Cl - = 3 2 a

Step-by-step solution

CsCl has body centered type structure in which Cs + occupies at corner of a cube and Cl – occupies the centre of the cube. 2 r Cs + + 2 r Cl - = 3 a (where a is the edge length of the cube) r Cs + + r Cr = 3 2 a

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