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Question:

2 × 10⁸ atoms of carbon are arranged side by side. Calculate the radius of the carbon atom if the length of this arrangement is 2.4 cm.

Solution:

The length covered by 1 carbon atom corresponds to its diameter.
The diameter of carbon atom is 2.4/(2 × 10⁸) = 1.2 × 10⁻⁸ cm.
The radius of carbon atom is 1.2 × 10⁻⁸/2 = 0.6 × 10⁻⁸ cm = 0.06 nm.