Which of the following nanoparticle catalysts is used in photocatalysis?

Which of the following is used as a catalyst in the Fischer-Tropsch process for the synthesis of gasoline?

In a homogeneous catalysis:

In this reaction,dilute $H_2SO_4$ is called
$\underset{\text{Sucrose}}{\mathop{C_{12}H_{22}O_{11}}}+H_2O$ $\xrightarrow{dil. H_2SO_4}\underset{\text{Fructose}}{\mathop{C_6H_{12}O_{6(aq)}}}+\underset{\text{Glucose}}{\mathop{C_6H_{12}O_{6(aq)}}}$

Match the catalyst (Column-$I$) with products (Column-$II$)

Column-$I$ Catalyst	Column-$II$ Product
$(a)$ $V_2O_5$	$(i)$ Polyethylene
$(b)$ $TiCl_4/Al(Me)_3$	$(ii)$ Ethanal
$(c)$ $PdCl_2$	$(iii)$ $H_2SO_4$
$(d)$ Iron oxide	$(iv)$ $NH_3$

Which is True $(T)$ and False $(F)$ of the following statements?
$1.$ Catalyst forms an activated complex with partial bonds.
$2.$ Catalyst alters the enthalpy change of the reaction.
$3.$ Catalyst remains the same at the initial and end of the reaction.