For a cubic lattice edge length of unit cell is `5A^(0)` and density is `2g c c^(-1)`. Calculate the radius of an atom, if gram atomic weight is `75 gmol^(-1)`

Explanation

To solve the problem step by step, we will use the given data and apply the relevant formulas.

### Step 1: Identify the given data
- Edge length of the unit cell (A) = 5 Å (angstrom) = \(5 \times 10^{-8}\) cm
- Density (ρ) = 2 g/cm³
- Molar mass (M) = 75 g/mol

### Step 2: Use the formula relating density, molar mass, and unit cell parameters
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