JEE Previous Year Question

A certain element crystallises in a bcc lattice of unit cell edge length $27\mathring{\mathrm{A}}$. If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in $\mathring{\mathrm{A}}$ will be _____. (Round off to the Nearest Integer). [Assume each lattice point has a single atom] [ Assume $\sqrt{3}=1.73,\sqrt{2}=1.41$ ]

Topic: JEE PYQ

Answer: 33. Full step-by-step solution below.