Q. The increasing order of atomic radii of the following Group 13 elements is :

1. $Al<Ga<In<Tl$
2. $Ga<Al<In<Tl$
3. $Al<In<Ga<Tl$
4. $Al<Ga<Tl<In$

Q. The reagent(s) that can selectively precipitate $S^{2-}$ from a mixture of $S^{2-}$ and ${SO}_4^{2-}$ in aqueous solution is (are) :

1. $Ba{Cl}_2$
2. $Cu{Cl}_2$
3. ${Pb\left(OOC{CH}_3\right)}_2$
4. ${Na}_2\left[{Fe\left(CN\right)}_{5}NO\right]$

Q. The compound(s) with two lone pairs of electron on the central atom is/are:

1. $Br{F}_5$
2. $Cl{F}_3$
3. $Xe{F}_4$
4. $S{F}_4$

Q. The product(s) of the following reaction sequence is(are):

1. 
   
2. 
   
3. 
   
4. 
   

Q. On complete hydrogenation, natural rubber produces :

1. polypropylene
2. ethylene-propylene copolymer
3. vulcanised rubber
4. polybutylene

Q. A plot of the number of neutrons $\left(N\right)$ against the number of protons $\left(P\right)$ of stable nuclei exhibits upward deviation from linearity for atomic number, $Z>20$. For an unstable nucleus having $N/P$ ratio less than $1$, the possible mode(s) of decay is(are):

1. ${\beta }^{-}$ - decay ($\beta$ emission)
2. orbital or K - electron capture
3. neutron emission
4. ${\beta }^{+}$ - decay (positron emission)

Q. One mole of an ideal gas at $300K$ in thermal contact with surroundings expands isothermally from $1.0L$ to $2.0L$ against a constant pressure of $3.0atm$.

1. +$5.763$
2. +$1.013$
3. $-1.013$
4. $-5.763$

Q. Among $\left[Ni\right(CO{)}_4],$ $NiC{l}_4{]}^{2-}$, $\left[Co\right(N{H}_3{)}_{4}C{l}_2]Cl$, $N{a}_3\left[Co{F}_6\right],$ $N{a}_2{O}_2$ and $Cs{O}_2$, the total number of paramagnetic compounds is:

1. $2$
2. $3$
3. $4$
4. $5$

Q. Positive Tollen's test is observed for:

1. 
   
2. 
   
3. 
   
4. 
   

Q. P is the probability of finding the $1$s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is $4\pi r^{2}dr$. The qualitative sketch of the dependence of P on r is :

1. 
   
2. 
   
3. 
   
4. 
   

Q. According to the Arrhenius equation,

1. Rate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy.
2. A high activation energy usually implies a fast reaction.
3. Higher the magnitude of activation energy, stronger is the temperature dependence of the rate constant
4. The pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.

Q. The crystalline form of borax has:

1. Tetranuclear ${\left[B_4{O}_5{\left(OH\right)}_4\right]}^{2-}$ unit
2. All boron atoms in the same plane
3. Equal number of ${sp}^2$ and ${sp}^3$ hybridized boron atoms
4. One terminal hydroxide per boron atom