AIEEE 2010 PYQ Mock Test

The correct sequence which shows decreasing order of the ionic radii of the elements is:

Solubility product of silver bromide is $5.0\times 10^{-13}$. The quantity of potassium bromide (molar mass taken as $120{\text{g mol}}^{-1}$) to be added to $1\text{litre}$ of $0.05\text{M}$ solution of silver nitrate to start the precipitation of $\text{AgBr}$ is:

The Gibbs energy for the decomposition of ${\text{Al}}_2{\text{O}}_3$ at $500^{\circ }\text{C}$ is as follows:$\frac{2}{3}{\text{Al}}_2{\text{O}}_3\to \frac{4}{3}\text{Al}+{\text{O}}_2,{\Delta }_{r}G=+966{\text{kJ mol}}^{-1}$ The potential difference needed for electrolytic reduction of ${\text{Al}}_2{\text{O}}_3$ at $500^{\circ }\text{C}$ is at least:

At $25^{\circ }\text{C}$, the solubility product of ${\text{Mg(OH)}}_2$ is $1.0\times 10^{-11}$. At which pH, will ${\text{Mg}}^{2+}$ ions start precipitating in the form of ${\text{Mg(OH)}}_2$ from a solution of $0.001{\text{M Mg}}^{2+}$ ions?

Percentage of free space in cubic close packed structure and in body centred packed structure are respectively: