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Consider the Atomic Packing Factor (APF) of the following crystal structures:
P. Simple cubic
Q. Body centred cubic
R. Face centred cubic
T. Hexagonal close packed
Which two of the above structures have equal APF?
A metal crystallizes into two cubic phases BCC and FCC. The ratio of densities of FCC and BCC is equal to 1.5. Calculate the difference between the unit cell lengths of the FCC and BCC crystals if the edge length of the FCC crystal is equal to 4.0 Å.
6 faces of a cube is painted with different colour. Red face is opposite to the black face. The face adjacent to the bottom face is white. Brown face is adjacent to blue face. Red face is at the bottom. Which face will be on exactly opposite to the brown face.
In a powder diffraction pattern recorded from a face centred cubic sample using X-rays, the first peak appears at 30°. The second peak will appear at
A, B, C, D, E and F are six girls who use 6 different face wash – Pond’s, Lakme, Lotus, Garnier, Himalaya and Kaya (but not necessarily in the same order). They also like six different colours – Red, Blue, Brown, Peach, Black and White (also not necessarily in the same order. A and C do not like a Red colour. The girl who uses Lakme face wash likes Peach colour. The girl who likes White colour does not use Kaya nor Lotus face wash. B neither likes Peach nor Red colour. D does not like a Blue colour but uses a Lotus face wash. The girl who uses Pond’s face wash likes Red colour. C does not use Lakme face wash nor likes white colour. F neither uses Himalaya nor Kaya face wash but likes Brown colour. Who does use Himalaya’s face wash?
For a cubic metal with lattice parameter of 3.92°A, the first four diffraction peaks from the X-ray powder diffraction pattern taken with Cu-Ka radiation (λ = 1.5405°A) occur at 2θ values of 39.7, 46.2, 67.5 and 81.3 degrees. The crystal structure of the metal is
Tata salt was tested (FCC) with X-ray (0.071nm) which is diffracted by (110) plane with lattice constant of 0.28nm. Find the diffraction angle for 2nd order diffraction.
The effective number of lattice points in the unit cell of simple cubic, body centered cubic, and face centered cubic space lattices, respectively, are
Each of the six faces of a cube is numbered by one of the six digits from 1 to 6. This cube is shown in its four different positions in the figures 1, 2, 3 and 4.
Cubes and Dice mcq question image
Consider the following statements:
I. Figures 2 and 3 are sufficient to know as to which face is opposite to the face numbered 6.
II. Figures 2 and 3 are sufficient to know as to which face is opposite to the face numbered 4.
III. Figures 1 and 4 are sufficient to know as to which face is opposite to the face numbered 3.
Which of the statements given above are correct?
The primitive translation vectors of the body centred cubic lattice are $$\overrightarrow {\bf{a}} = \frac{a}{2}\left( {{\bf{\hat x}} + {\bf{\hat y}} - {\bf{\hat z}}} \right),\,\overrightarrow {\bf{b}} = \frac{a}{2}\left( { - {\bf{\hat x}} + {\bf{\hat y}} + {\bf{\hat z}}} \right)$$        and $$\overrightarrow {\bf{c}} = \frac{a}{2}\left( {{\bf{\hat x}} - {\bf{\hat y}} + {\bf{\hat z}}} \right)$$    . The primitive translation vectors $$\overrightarrow {\bf{A}} ,\,\overrightarrow {\bf{B}} $$  and $$\overrightarrow {\bf{C}} $$ of the reciprocal lattice are