Q. Addition of excess aqueous ammonia to a pink coloured aqueous solution of $M{Cl}_2\cdot 6H_{2}O$ $\left(X\right)$ and $N{H}_{4}Cl$ gives an octahedral complex $Y$ in the presence of air. In aqueous solution, complex $Y$ behaves as $1:3$ electrolyte. The reaction of $X$ with excess $HCl$ at room temperature results in the formation of a blue coloured complex $Z$. The calculated spin only magnetic moment of $X$ and $Z$ is $3.87$ B.M., whereas it is zero for complex $Y$.

1. $Z$ is a tetrahedral complex
2. The hybridization of the central metal ion in $Y$ is $d^{2}s{p}^3$
3. When $X$ and $Z$ are in equilibrium at $0^{o}C$, the colour of the solution is pink
4. Addition of silver nitrate to $Y$ gives only two equivalents of silver chloride

Q. For a solution formed by mixing liquids $L$ and $M$, the vapour pressure of $L$ plotted against the mole fraction of $M$ in solution is shown in the following figure. Here $x_L$ and $x_M$ represent mole fractions of $L$ and $M$, respectively, in the solution. The correct statement(s) applicable to this system is(are)

1. The point $Z$ represents vapour pressure of pure liquid $M$ and Raoult's law is obeyed when $x_L\to 0$
2. The point $Z$ represents vapour pressure of pure liquid $M$ and Raoult's law is obeyed from $x_L=0$ to $x_L=1$
3. The point $Z$ represents vapour pressure of pure liquid $L$ and Raoult's law is obeyed when $x_L\to 1$
4. Attractive intermolecular interactions between $L-L$ in pure liquid $L$ and $M-M$ in pure liquid $M$ are stronger than those between $L-M$ when mixed in solution

Q. Among the above, the number of aromatic compound(s) is/are :

Q. The IUPAC name(s) of the above compound is(are) :

1. 1-chloro-4-methylbenzene
2. 1-methyl-4-chlorobenzene
3. 4-chlorotoluene
4. 4-methylchlorobenzene

Q. Among $H_2$, ${He}_2^{+}$, ${Li}_2$, ${Be}_2$, $B_2$, $C_2$, $N_2$, $O_2^{-}$, and $F_2$, the number of diamagnetic species is
(Atomic numbers: $H=1$, $He=2$, $Li=3$, $Be=4$, $B=5$, $C=6$, $N=7$, $O=8$, $F=9$)

Q. A crystalline solid of pure substance has a face-centred cubic structure with a cell edge of $400pm$. If the density of the substance in the crystal is $8gc{m}^3$ then the number of atoms present in $256g$ of the crystal is $N\times . The value of N is ... .

Q. The colour of the $X_2$ molecules of group $17$ elements changes gradually from yellow to violet down the group. This is due to:

1. the physical state of $X_2$ at room temperature changes from gas to solid down the group
2. decrease in ${\pi }^{\ast }-{\sigma }^{\ast }$ gap down the group
3. decrease in $HOMO-LUMO$ gap down the group
4. decrease in ionization energy down the group

Q. The sum of the number of lone pairs of electrons on each central atom in the following species is:

Q. The correct statement(s) for the following addition reactions is(are):

1. bromination proceeds through trans-addition in both the reactions.
2. $O$ and $P$ are identical molecules.
3. ($M$ and $O$) and ($N$ and $P$) are two pairs of diastereomers.
4. ($M$ and $O$) and ($N$ and $P$) are two pairs of enantiomers.

Q. An ideal gas is expanded from $(p_1,V_1,T_1)$ to $(p_2,V_2,T_2)$ under different conditions. The correct statement(s) among the following is(are):

1. The work done on the gas is maximum when it is compressed irreversibly from $(p_2,V_2)$ to $(p_1,V_1)$ against constant pressure $p_1$.
2. The work done by the gas is less when it is expanded reversibly from $V_1$ to $V_2$ under adiabatic conditions as compared to that when expanded reversibly from $V_1$ to $V_2$ under isothermal conditions.
3. If the expansion is carried out freely, it is simultaneously both is isothermal as well as adiabatic.
4. The change in internal energy of the gas is (i) zero, if it is expanded reversibly with $T_1=T_2$, and (ii) positive, if it is expanded reversibly under adiabatic conditions with $T_1\ne T_2$.

Q. The correct statement(s) about the oxoacids, $HCl{O}_4$ and $HClO$, is(are):

1. the central atom in both $HCl{O}_4$ and $HClO$ is $s{p}^3$ hybridized
2. the conjugate base of $HCl{O}_4$ is weaker base than $H_{2}O$
3. $HCl{O}_4$ is formed in the reaction between ${Cl}_2$ and $H_{2}O$
4. $HCl{O}_4$ is more acidic than $HClO$ because of the resonance stabilization of its anion

Q. The conductance of a $0.0015$ $M$ aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of platinized $Pt$ electrodes. The distance between the electrodes is $120cm$ with an area of cross section of $1{cm}^2$. The conductance of this solution was found to be $5\times {10}^{-7}S$. The pH of the solution is $4$. The value of limiting molar conductivity $\left({\Lambda }_m^o\right)$ of this weak monobasic acid in aqueous solution is $Z\times {10}^{2}S{cm}^{-1}{mol}^{-1}$. The vlaue of $Z$ is: