The set of amphoteric oxides among \(\mathrm{ZnO}, \mathrm{Tl}_2 \mathrm{O}_3, \mathrm{In}_2 \mathrm{O}_3\), \(\mathrm{B}_2 \mathrm{O}_3, \mathrm{PbO}, \mathrm{SnO}_2\) is

Match the following.

List - $\mathrm{I}$ Reaction		List - $\mathrm{II}$ Catalyst
$\left(\mathrm{A}\right)$	${\mathrm{N}}_2\left(\mathrm{g}\right)+3{\mathrm{H}}_2\left(\mathrm{g}\right)⟶2{\mathrm{NH}}_3\left(\mathrm{g}\right)$	$\left(\mathrm{I}\right)$	$\mathrm{Ni}$
$\left(\mathrm{B}\right)$	$2{\mathrm{H}}_2\left(\mathrm{g}\right)+{\mathrm{O}}_2\left(\mathrm{g}\right)⟶2{\mathrm{H}}_2\mathrm{O}\left(\mathrm{l}\right)$	$\left(\mathrm{II}\right)$	$\mathrm{Pt}$
$\left(\mathrm{C}\right)$	$\mathrm{CO}\left(\mathrm{g}\right)+3{\mathrm{H}}_2\left(\mathrm{g}\right)⟶{\mathrm{CH}}_4\left(\mathrm{g}\right)+{\mathrm{H}}_2\mathrm{O}\left(\mathrm{g}\right)$	$\left(\mathrm{III}\right)$	$\mathrm{ZnO}-{\mathrm{Cr}}_2{\mathrm{O}}_3$
$\left(\mathrm{D}\right)$	$\mathrm{CO}\left(\mathrm{g}\right)+2{\mathrm{H}}_2\left(\mathrm{g}\right)⟶{\mathrm{CH}}_3\mathrm{OH}\left(\mathrm{g}\right)$	$\left(\mathrm{IV}\right)$	$\mathrm{Fe}$

The correct answer is:

Which of the following has more \(\mathrm{pK}_{\mathrm{a}}\) value?

The freezing point depression of a solution containing \(0.6 \mathrm{~g}\) of urea (molar mass \(=60 \mathrm{~g} \mathrm{~mol}^{-1}\) ) in \(100 \mathrm{~mL}\) of benzene (in \(\mathrm{K}\) ) is \(\left(K_f\right.\) of \(\mathrm{CH}_3 \mathrm{COOH}=4.0 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) )

The rate constant of a reaction at \(500 \mathrm{~K}\) and \(700 \mathrm{~K}\) are \(0.02 \mathrm{~s}^{-1}\) and \(0.2 \mathrm{~s}^{-1}\) respectively. The activation energy of the reaction
(in \(\left.\mathrm{kJ} \mathrm{mol}^{-1}\right)\) is \(\left(R=8.3 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right)\)

The source of vitamin, whose deficiency causes scurvy is

From the following data
\[
\begin{aligned}
& \mathrm{CH}_3 \mathrm{OH}(l)+\frac{3}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{CO}_2(g)+2 \mathrm{H}_2 \mathrm{O}(l) \\
& \Delta_r H^{\circ}=-726 \mathrm{~kJ} \mathrm{~mol}^{-1} \\
& \mathrm{H}_2(g)+\frac{1}{2} \mathrm{O}_2(g) \longrightarrow \mathrm{H}_2 \mathrm{O}(l) \text {; } \\
& \Delta_r \mathrm{H}^{\circ}=-286 \mathrm{~kJ} \mathrm{~mol}^{-1} \\
& \mathrm{C}(\text { graphite })+\mathrm{O}_2(\mathrm{~g}) \longrightarrow \mathrm{CO}_2(\mathrm{~g}) \text {; } \\
& \Delta_r \mathrm{H}^{\circ}=-393 \mathrm{~kJ} \mathrm{~mol}^{-1} \\
&
\end{aligned}
\]
The standard enthalpy of formation of \(\mathrm{CH}_3 \mathrm{OH}(l)\) in \(\mathrm{kJ} \mathrm{mol}^{-1}\) is

If \(\alpha\) and \(\beta\) are non-real roots of \(x^3-x^2-x-2=0\), then \(\alpha^{2020}+\beta^{2020}+\alpha^{2020} \cdot \beta^{2020}=\)

If $z=\cos 6°+i\sin 6°,$ then $\sum _{n=1}^{20}Im\left(z^{2n-1}\right)=$

The number of moles of electrons required to deposit \(36 \mathrm{~g}\) of \(\mathrm{Al}\) from an aqueous solution of \(\mathrm{Al}\left(\mathrm{NO}_3\right)_3\) is (At. wt. of \(\mathrm{Al}=27\) )

A random variable $X$ has the following probability distribution:

$X=x_i$	$-2$	$-1$	$0$	$1$	$2$
$P\left(X=x_i\right)$	$\frac{1}{6}$	$k$	$\frac{1}{4}$	$k$	$\frac{1}{6}$

The variance of this random variable is

The acceleration due to gravity at a height $(1/20{)}^{th}$ of the radius of earth above the earth's surface is $9 \mathrm{m} {\mathrm{s}}^{-2}$. Its value at an equal depth below the surface of earth is

If \(k_1>k_2\) are the two values of \(\mathrm{k}\) such that the lines \(y-3 k x+4=0\) and \((2 k-1) x-(8 k-1) \mathrm{y}-6=0\) are perpendicular, then the equation of the line passing through \(\left(k_1, k_2\right)\) and having the slope \(\left(\frac{k_2}{k_1}\right)\) is