Question 1 :
In a cubic arrangement of atoms of A, B and C, atoms of A are present at the corners of the unit cell, B atoms are at face centers and C at tetrahedral voids. If one of the atom from one corner is missing in the unit cell, then the simplest formula of the compound will be:
Question 2 :
Gold is plated with rhodium to give a base for mounting diamonds in modern jewellery. The rhodium-gold alloy consists of gold atoms in fcc structure with half the face centers being replaced by rhodium atoms. Formula of this alloy is :<br/>
Question 3 :
First order X - ray reflection $(\lambda = 154$ pm$)$ which is maximum from a set of $(2, 0, 0)$ planes of a bcc lattice was observed at $16^{o}6'$. The edge length (in pm) of unit cell is: $(\text{sin}\ 16^{o}6' = 0.2773)$ <br/>
Question 4 :
Aluminium crystallizes in a cubic close packed structure. Its metallic radius is $125$ pm. The edge length (in pm) of the unit cell and number of unit cells per cc of aluminium, respectively, are :
Question 5 :
$Na$ and $Mg$ crystallize in $BCC$ and $FCC$ type crystals respectively, then the number of atoms of $Na$ and $Mg$ present in the unit cell of their respective crystal is<br>
Question 6 :
The density and edge length values for a crystallise elemens with $fcc$ lattice are $10 g$ $cm^{-3}$ and 400 pm, respectively. The number of unit cell in $32 g$ of this crystal is:
Question 7 :
In a non stoichiometric sample of ferrous oxide with NaCl structure, the ratio of $Fe^{+3}$ to $Fe^{2+}$ was found to be 0.15. The fraction of octahedral sites occupied by vacancies is :<br/>
Question 9 :
Atoms C and D form fcc crystalline structure. Atom C is present at the corners of the cube and D is at the faces of the cube. What is the formula of the compound?
Question 10 :
In a close-packed structure of mixed oxides, the lattice is composed of oxide ions, one-eighth of tetrahedral voids are occupied by divalent cations $A$ while one-half of octahedral voids are occupied by trivalent cations $B$. The formula of the oxide is:
Question 11 :
$CsCl$ crystallizes in a cubic lattice that has a $Cl^-$ at each corner and $Cs^+$ at the centre of the unit cell. If $(r_{Cs^+})=1.69\overset{o}{A}$ and $(r_{Cl^-})=1.81\overset{o}{A}$, what is the value of edge length a of the cube?<br>
Question 12 :
A solid has a structure in which $W$ atoms are located at the corners of a cubic lattice, $O$ atoms at the centre of the edges and $Na$ atoms at the centre of the cubic. The formula for the compound is:
Question 13 :
Three lines are drawn from a single corner of an FCC unit cell to meet the other corner such that they are found to pass through exactly only 1 octahedral void, no voids of any type and exactly 2 tetrahedral voids with 1 octahedral void. Identify the line in the same order.<br>
Question 14 :
An alloy of $Cu, Ag$ and $Au$ is found to have copper constituting fcc lattice. If silver atoms occupy the edge-centers and gold is present at body-center, the alloy has the formula _______.
Question 15 :
An alloy of copper, silver and gold is found to have copper constituting the $(FCC)$ lattice. If silver atoms occupy the edge centres and gold is present at body centre, the alloy has a formula
Question 16 :
In a face centred cubic arrangement of $A$ and $B$ atoms, where, $A$ atoms are at the corners of the unit cell and $B$ atoms at the face centres, one of the $A$ atoms is missing from one corner in each unit cell. The simplest formula of the compound
Question 17 :
In a structure, $A$ atoms have FCC arrangement, $B$ atoms occupy all the tetrahedral sites and $C$ atoms occupy half the octahedral sites. The formula of the compound is:
Question 18 :
Molten silver chloride containing a little cadmium chloride is crystallized. Which of the following statements would explain the above crystal correctly?
Question 19 :
In a solid $AB$ having $NaCl$ structure atoms, occupy the corners of the unit cell. If all the face centred atoms along one of the axis are removed, then the resultant stoichiometry of the solid is:<br>
Question 20 :
In a CCP lattice of X and Y, X atoms are present at the corners while Y atoms are at face centres. Then the formula of the compound would be if one of the X atoms from a corner is replaced by Z atoms (also monovalent) ?<br>
Question 21 :
Barium titanate has the perovskite structure, i.e., a cubic lattice with $Ba^{2+}$ ions at the corners of the unit cell, oxide ions at the face centres and titanium ions at the body centre. The molecular formula of barium titanate is:
Question 22 :
The pattern of successive layers of ccp arrangement can be designated as:
Question 23 :
A solid is formed and it has three types of atoms X, Y, Z. X forms an FCC lattice with Y atoms occupying one-forth of tetrahedral viods and Z atoms occupying half of the octahedral voids. The formula of the solid is?
Question 24 :
Element $'B'$ forms ccp structure and $'A'$ occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is :
Question 26 :
In a face centered cubic lattice, atoms A are at the corner points and atoms B at the face centered points. If atom B is missing from one of the face centered points, the formula of the ionic compound is:
Question 27 :
Beautiful crystals arise from various chemical substances. A single chemical can, sometimes, give rise to different crystals because of different:
Question 28 :
You are given 4 identical balls. What is the maximum number of square voids and triangular voids (in separate arrangements) that can be created ?<br>
Question 29 :
Consider a Body Centered Cubic(bcc) arrangement, let de, dfd, dbd be the distances between successive atoms located along the edge, the face-diagonal, the body diagonal respectively in a unit cell.Their order is given by:<br>
Question 30 :
Assertion: $CsCl$ has body-centered cubic arrangement.
Reason: $CsCl$ has one $Cs^+$ ion and $8 Cl^-$ ions in its unit cell.
Question 31 :
Crystallize $CsCl$ has density 3.988 g $cm^{-3}.$ The volume occupied by a single $CsCl$ ion pair in the crystal will be:
Question 32 :
A metal crystallizes in a body centered cubic lattice (bcc) with the edge of the unit cell 5.2Å. The distance between the two nearest neighbour is<br>
Question 34 :
A binary solid has a primitive cubical structure with $B^-$ ions constituting the lattice points and $A^+$ ions occupying 25% of its tetrahedral holes. The molecular formula of the crystal is:<br/>
Question 35 :
A unit cell of calcium fluoride has four calcium ions. The number of fluoride ions in the unit cell is:
Question 37 :
Aluminium crystallizes in a cubic close packed structure. Its metallic radius is $125pm$.<br>i) Calculate the edge length of unit cell<br>ii) How many unit cells are there in $1.00cm^3$ of aluminium?
Question 38 :
In a simple cubic lattice of anions, the side length of the unit cell is 2.88 Å. The diameter of the void in the body centre is<br>
Question 39 :
Niobium is found to crystalline with bcc structure and found to have a density of $8.55g$ ${cm}^{-3}$. Determine the atomic radius of niobium if its atomic mass is $93u$.
Question 40 :
$AB$ crystallises in a bcc lattice with edge length an equal to 387 pm. The distance between two oppositely charged ions in the lattice is:<br/>
Question 41 :
A mineral consists of a cubic close-packed structure formed by $O^{2-}$ ions where half the octahedral voids are occupied by $Al^{3+}$ and one-eighth of the tetrahedral voids are occupied by $Mn^{2+}$. The chemical formula of the mineral is:
Question 42 :
A crystalline solid between A and B has the following arrangement of atoms: <br/>(i) Atoms A are arranged in a CCP array.<br/>(ii) Atoms B occupy all the octahedral voids and half of the tetrahedral voids.<br/>What is the formula of the compound?<br/>
Question 43 :
A compound is formed by elements $A$ and $B$. This crystallizes in the cubic structure where the $A$ atoms are at the corners of the cube and $B$ atoms are at the body centers. The simplest formula of the compound is:
Question 44 :
A cubic unit cell has one atom on each corner and one atom on each body diagonal. The number of atoms in the unit cell is ________.
Question 45 :
A crystal of sodium hydride has an fcc unit cell of $\text{H}^-$ ions with $\text{Na}^+$ ions at the body centres of a unit cell and in the centre of edges. The number of $\text{H}^-$ that touch each $\text{Na}^+$ is:
Question 46 :
How many moles of atoms are present on the surface of 2cm long iron rod assuming a cubic shape having FCC unit cell edge length 0.556nm?<br/>
Question 47 :
In a cubic structure of compounds which is made from $X$ and $Y$, where $X$ atoms are at the corners of the cube and $Y$ at the face centres of the cube. The molecular formula of the compound is
Question 48 :
The packing efficiency of the face centered cubic (fcc), body centered cubic (bcc) and simple primitive cubic (pc) lattices follows the order:
Question 49 :
<div> A body centric cubic lattice is made up of two different types of atoms A and B. Atom A occupies the body centre and B occupying the corner positions. One of the corners is left unoccupied per unit cell. Empirical formula of such a solid is<br/></div>
Question 50 :
The empty space between the shaded balls and hollow balls as shown in the diagram is called<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/JEE%20Main/5e799d3aced10523befee38c' height='81' width='85' ><br>Figure<br>