Given below are two statements.
Statement-I: In \(\text{H}_2\text{O}_2\), each oxygen atom is assigned an oxidation number of \(-1\), in \(\text{RbO}_2\) each oxygen atom is assigned an oxidation number of \(-\dfrac{1}{2}\).
Statement-II: Representation of \(\text{HAuCl}_4\) and \(\text{MnO}_2\) in stock notation is \(\text{HAu(III)Cl}_4\) and \(\text{Mn(II)O}_2\), respectively.
Examine the above statements and choose the correct answer.

What will be the value of \(x\) in \(\mathrm{Fe}^{x+}\), if the magnetic moment, \(\mu=\sqrt{24} \mathrm{BM}\) ?

The types of hybrid orbitals of nitrogen in \(\text{NO}_2^+, \text{NO}_3^-\) and \(\text{NH}_4^+\) respectively are

Match List-I with List-II
\begin{array}{|l|l|l|l|}\hline & \text{List-I (Types of redox reactions)} & & \text{List-II (Examples)} \\\hline \text{a}. & \text{Combination reaction} & \text{(i)} & \mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{Br}_{(\mathrm{aq})}^{-} \rightarrow 2 \mathrm{Cl}_{(\mathrm{aq})}^{-}+\mathrm{Br}_{2(\mathrm{l})} \\\hline \text{b.} & \text{Decomposition reaction} & \text{(ii)} & 2 \mathrm{H}_2 \mathrm{O}_{2(\mathrm{aq})} \rightarrow 2 \mathrm{H}_2 \mathrm{O}_{(1)}+\mathrm{O}_{2(\mathrm{~g})} \\\hline \text{c.} & \text{Displacement reaction} & \text{(iii)} & \mathrm{CH}_{4(\mathrm{~g})}+2 \mathrm{O}_{2(\mathrm{~g})} \xrightarrow{\Delta} \mathrm{CO}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(1)} \\\hline \text{d.} & \text{Disproportionation reaction} & \text{(iv)} & \mathrm{H}_2 \mathrm{O}_{(1)} \xrightarrow{\Delta} 2 \mathrm{H}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} \\\hline\end{array}

Choose the correct answer from the options given below.

The number of atoms in \( 2.4 \mathrm{~g} \) of body centred cubic crystal with edge length \( 200 \mathrm{pm} \) is (density
\( =10 \mathrm{~g} \mathrm{~cm}^{-3}, \mathrm{NA}=6 \times 10^{23} \) atoms \( / \mathrm{mol} \) )

An aqueous solution containing \(6.5 \mathrm{~g}\) of \(\mathrm{NaCl}\) of \(90 \%\) purity was subjected to electrolysis. After the complete electrolysis, the solution was evaporated to get solid \(\mathrm{NaOH}\). The volume of \(1 \mathrm{M}\) acetic acid required to neutralise \(\mathrm{NaOH}\) obtained above is

The equivalent mass of a certain bivalent metal is 20 . The molecular mass of its anhydrous chloride is

A capacitor and an inductance coil are connected in separate AC circuits with a bulb glowing in both the circuits. The bulb glows more brightly when

A proton beam enters a magnetic field of \( 10^{-4} \mathrm{~Wb} m^{-2} \) normally. If the specific charge of the proton is \( 10^{11} \mathrm{C} \mathrm{kg}^{-1} \) and its velocity is \( 10^{9} \mathrm{~ms}^{-1} \), then the radius of the circle described will be

The magnetic field at the centre of a circular coil of radius \(R\) carrying current \(I\) is 64 times the magnetic field at a distance \(x\) on its axis from the centre of the coil. Then, the value of \(x\) is

Rate of physical adsorption increases with

According to Einstein's photoelectric equation, the graph of \(\mathrm{KE}\) of the photoelectron emitted from the metal versus the frequency of the incident radiation gives a straight line graph, whose slope

\( 25 \mathrm{~cm}^{3} \) of oxalic acid completely neutralized \( 0.064 \mathrm{~g} \) of sodium hydroxide. Molarity of the
oxalic acid solution is