Consider the following sequence of reactions
Isopropyl benzene \(\xrightarrow{\mathrm{O}_2} x \xrightarrow[\mathrm{H}_2 \mathrm{O}]{\mathrm{H}^{+}}\) \(+z\)
The incorrect statement about z is

A solution is prepared by dissolving \(10 \mathrm{~g}\) of a non-volatile solute (molar mass, ' \(M^{\prime} \mathrm{g} \mathrm{mol}^{-1}\) ) in \(360 \mathrm{~g}\) of water. What is the molar mass in \(\mathrm{g} \mathrm{mol}^{-1}\) of solute if the relative lowering of vapour pressure of solution is \(5 \times 10^{-3}\) ?

The increasing order of acidic strength among the following compounds is $\mathrm{I}$. Benzoic acid
$\mathrm{II}$. $4-$nitrobenzoic acid
$\mathrm{III}$. $3, 4-$dinitrobenzoic acid
$\mathrm{IV}$. $4-$methoxybenzoic acid

Match List-I with List-II
\(\begin{array}{|c|l|l|l|}\hline & \text{List-I (Reaction)} & & \text{List-II (Enzyme)} \\ \hline \text{A.} & \begin{array}{l} \text{Hydrolysis of starch to} \\ \text{maltose}\end{array} & \text{I} & \text{Diastase} \\ \hline \text{B.} & \begin{array}{l} \text{Conversion of proteins} \\ \text{to peptides} \end{array} & \text{II} & \text{Pepsin} \\ \hline \text{C.} & \begin{array}{l} \text{Hydrolysis of sucrose} \\ \text{to glucose and fructose}\end{array} & \text{III} & \text{Invertase} \\ \hline \text{D.} & \text{Glucose to ethanol} & \text{IV} & \text{Zymase} \\ \hline\end{array}\)
The correct answer is

The rate constant, k of a zero order reaction \(2 \mathrm{NH}_3(\mathrm{~g})\) \(\underset{1130 \mathrm{~K}}{\stackrel{\mathrm{Pt}}{\longrightarrow}} \mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g})\) is \(\mathrm{y} \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\). The rate of formation of hydrogen (in \(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\) ) is

Helium diffuses four times faster than which of the following?

In \(f\)-block elements, orbitals are progressively filled by the electrons.

If the length of the tangent drawn from the point from \((-2,3)\) to the circle \(x^2+y^2+8 x\) \(-6 y+k=0\) is 4 units, then \(k\) is equal to

What are \(X\) and \(Y\) in the following reactions?

A one metre steel wire of negligible mass and area of cross-section \(0.01 \mathrm{~cm}^2\) is kept on a smooth horizontal table with one end fixed. A ball of mass \(1 \mathrm{~kg}\) is attached to the other end. The ball and the wire are rotating with an angular velocity of \(\omega\). If the elongation of the wire is \(2 \mathrm{~mm}\), then \(\omega\) is (Young's modulus of steel \(=2 \times 10^{11} \mathrm{Nm}^{-2}\) )

If a \(100 \mathrm{~m}\) long train needs \(7.2 \mathrm{~s}\) to cross an object moving in a direction opposite to the train's direction with a speed of \(5 \mathrm{~km} / \mathrm{h}\), then find the velocity of the train.

When \(10 \mathrm{~g}\) of copper and \(10 \mathrm{~g}\) of iodine are mixed, calculate the theoretical yield of CuI according to the equation,
\(2 \mathrm{Cu}+\mathrm{I}_2 \longrightarrow 2 \mathrm{Cul}\)

If the height of the transmitting tower is increased by \(30 \%\), then the area covered by it increases by