Question

If edge of a bcc crystal of an element is a cm, M is the atomic mass and N₀ the Avogadro’s number, the density of the crystal is ______.

Options

• `(4M)/(N_0a^3)`

• `(2N_0)/(Ma^3)`

• `(2M)/(N_0a^3)`

• `(Ma^3)/(2N_0)`

Answer 1

If edge of a bee crystal of an element is a cm, M is the atomic mass and N₀ the Avogadro’s number, the density of the crystal is `bbunderline((2M)/(N_0a^3))`.

Explanation:

Given: Type of crystal = bcc (body-centred cubic)

Edge length = a cm

Atomic mass = M

Avogadro’s number = N₀

Number of atoms per unit cell, Z = 2

Density `(rho) = (Z xx M)/(a^3 xx N_0)`

`rho = (2 xx M)/(a^3 xx N_0)`

`rho = (2M)/(N_0a^3)`