In the chemical reaction, \(\mathrm{N}_{2}+3 \mathrm{H}_{2} \rightleftarrows 2 \mathrm{NH}_{3}\) at equilibrium point.

The pH at which an acid indicator with \(K_\alpha=1 \times 10^{-5}\) changes colour when the indicator concentration is \(1 \times 10^{-3} \mathrm{M}\) is

When the combustion of one molecule of liquid heptane is carried out at a constant temperature ' \(T\) ', the difference between \(\Delta H^o\) and \(\Delta U^o\) is equal to:

Pick out the complex compound in which the central metal atom obeys \(\mathrm{EAN}\) rule strictly.

Molarity of a given orthophosphoric acid solution is \(3 \mathrm{M}\). It's normality is

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.
Assertion: 2-aminoethanoic acid and p-aminobenzene sulphonic acid can exist as Zwitter ions while p-aminobenzoic acid cannot.
Reason: When the acid group is a relatively strong proton donor and the \(-\mathrm{NH}_2\) group is sufficiently basic it can accept a \(\mathrm{H}^{+}\)ion from the acid group to form the dipolar ion.

In a normal spinel type structure, the oxide ions are arranged in ccp, whereas \(1 / 8\) tetrahedral holes are occupied by \(\mathrm{Zn}^{2+}\) ions and \(50 \%\) of octahedral holes are occupied by \(\mathrm{Fe}^{3+}\) ions. The formula of compound is

Match the reaction in Column I with the major product formed given in Column II.
\(\begin{array}{|l|l|l|} \hline & \text { Column I- Reaction/conditions } & & \text { Column II- Product } \\ \hline A & \mathrm{C}_6 \mathrm{H}_6 \xrightarrow[\substack{\text{(ii) NaOH} \\ \text{(iii) H^+}}]{\text{(i) Oleum}} & P & \text { Pentan-2-ol. } \\ \hline B & \text{Butanal } \xrightarrow[\text{(ii) } \mathrm{H}^+]{\text{(i) } \text{MeMgBr/ dry ether}} & Q & \text { 2-Hydroxybenzoic acid. } \\ \hline C & \text {2-Methylpropene } \xrightarrow[\text { (ii) } \mathrm{H}_2 \mathrm{O}_2 / \mathrm{NaOH}]{\text { (i) } \mathrm{B}_2 \mathrm{H}_6} & R & \text { Phenol } \\ \hline D & \text{Phenol } \xrightarrow[\text { (ii) } \mathrm{CO}_2, 400 \mathrm{~K}, 7 \mathrm{~atm} .]{\text { (i) } \mathrm{NaOH}} & S & \text { 2-Methylpropan-1-0 I } \\ \hline \end{array}\)

When a mixture of calcium benzoate and calcium formate is dry distilled, we get

From the following \(p\)-V diagram, an ideal gas undergoing a change of state from \(A\) to \(B\). Four different processes I, II, III and IV as shown in the figure may lead to same change of state.

Nuclear theory of the atom was put forward by

Let the HM and GM of two positive numbers \(a\) and \(b\) be in the ratio \(4: 5\), then \(a: b\) is

Which of the following laws of Physics is valid across all domains of nature?