A given metal crystallises out with a cubic structure having edge length of 361 pm. If there are four metal atoms in one unit cell, what is the radius of one atom.

• 40 pm

• 127 pm

• 80 pm

• 108 pm

A metal crystallises with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

• 288 pm

• 408 pm

• 144 pm

• 204 pm

A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm^-3. The molar mass of the metal is (N_A Avogadro's constant= 6.02 x 10²³ mol^-1)

• 40 g mol^-1

• 30 g mol^-1

• 27 g mol^-1

• 20 g mol^-1

C.

27 g mol^-1

Given, cell is fcc, So Z =4
Edge length, a = 404 pm = 4.04 x 10^-8 cm
Density of metal, d = 2.72 g cm^-3
N_A = 6.02 x 10²³ mol^-1
Molar mass ofg the metal, M =?
We know that

density, d= 

A solid compound XY has NaCl structure. If the radius of the cation is 100 pm, the radius of the anion (Y^-) will be 

• 275.1 pm

• 322.5 pm

• 241.5 pm

• 165.7 pm

C.

241.5 pm

A structure of a mixed oxide is cubic close packed (ccp). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal A and the octahedral voids are occupied by a monovalent metal B. The formula of the oxide is

• ABO₂

• A₂BO₂

• A₂B₃O₄

• AB₂O₂