Assertion : Atomic radius of gallium is higher than that of aluminium

Reason : The presence of additional $d-$ electron offer poor screening effect for the outer electrons from increased nuclear charge.

In the Hoope's process for refining of aluminium, the fused materials form three different layers and they remain separated during electrolysis also. This is because

The correct statements from the following are :

$(A)$ The decreasing order of atomic radii of group $13$ elements is $\mathrm{Tl}>\mathrm{In}>\mathrm{Ga}>\mathrm{Al}>\mathrm{B}$.

$(B)$ Down the group $13$ electronegativity decreases from top to bottom.

$(C)$ $\mathrm{Al}$ dissolves in dil. $\mathrm{HCl}$ and liberate $\mathrm{H}_2$ but conc. $\mathrm{HNO}_3$ renders Al passive by forming a protective oxide layer on the surface.

$(D)$ All elements of group 13 exhibits highly stable +1 oxidation state.

$(E)$ Hybridisation of $\mathrm{Al}$ in $\left[\mathrm{Al}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}$ ion is $\mathrm{sp}^3 \mathrm{~d}^2$.

Choose the correct answer from the options given below:

Given below are two statements :

Statement $I$ : Gallium is used in the manufacturing of thermometers.

Statement $II$ : A thermometer containing gallium is useful for measuring the freezing point ( $256 \mathrm{~K}$ ) of brine solution.

In the light of the above statement, choose the correct answer from the options given below :