KCl crystallises in the same type of lattice as does NaCl Given that `r_(Na^(+))//r_(Cl^(-))=0.55` and `r_(K^(+))//r_(Cl^(-))=0.74`, the ratio of the side of unit cell for KCl to that of NaCl is

Options

A. 1.123
B. 0.0891
C. 1.414
D. 0.414

Explanation

To find the ratio of the side of the unit cell for KCl to that of NaCl, we can follow these steps:

### Step 1: Understand the Structure
Both KCl and NaCl crystallize in a face-centered cubic (FCC) lattice structure. In this structure, the anions (Cl⁻) are located at the corners of the cube, and the cations (K⁺ and Na⁺) are located at the face centers.

### Step 2: Write the Relationship for Unit Cell Side Length
In an FCC lattice, the relationship between the side length \( a \) of the unit cell and the radii of the cations and anions can be expressed as:
\[
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