The ratio of the volume of a tetragonal lattice unit cell to that of a hexagonal lattice unit cell is (both having same respective lengths)

Options

A. `(sqrt(3))/(2) `abc
B. `(2)/(2sqrt(3))`
C. `(2)/(sqrt(3)) (a^(2))/(b)` c
D. 1

Explanation

`"Ratio" = ("abc")/(6xx((sqrt(3))/(4)a^(2))xxc)=(2)/(3sqrt(3))`
Note : `(c)/(a)=(2sqrt(2))/(sqrt(3))` for an ideal HPC (see illustration