Question

The ratio of number of atoms present in a simple cubic, body-centred cubic and face-centred cubic structure are, respectively ______.

Options

• 8 : 1 : 6

• 1 : 2 : 4

• 4 : 2 : 1

• 4 : 2 : 3

Answer 1

The ratio of number of atoms present in a simple cubic, body-centred cubic and face-centred cubic structure are, respectively 1 : 2 : 4.

Explanation:

Unit cell	No. of atoms
Simple cubic	`1/8 xx 8 = 1`
Body-centred cubic	`1/8 xx 8 + 1 xx 1` = 2
Face-centred cubic	`1/8 xx 8 + 1/2 xx 6 = 4`