Given below are 4 molecular species/ions. Identify the species/ion which exhibits diamagnetic nature.
\([\mathrm{A}]=\mathrm{N}_2^{+} \quad[\mathrm{B}]=\mathrm{O}_2^{-} \quad[\mathrm{C}]=\mathrm{B}_2 \quad[\mathrm{D}]=\mathrm{C}_2\)

............ is unstable at cooking temperature, whereas the control of sweetness of food is difficult while using .........

An aqueous solution of \(X\) on addition of hydrogen peroxide in ice cold conditions gives blue colour to the ethereal layer. Then, \(X\) can be

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

Match the details given in Column I with those given in Column II

S.No.	Column I	S.No.	Column II
A	For complex reactions order is determined by	P	Rate of reaction.
B	For Zero order reaction unit of k is same as that of	Q	Slope \(= k/2.303\)
C	Mathematical expression which gives relationship between rate of reaction and concentrations of reactants is called	R	Slowest rate determining step.
D	For a first order reaction plot of \(\log[R_0]/[R]\) vs time gives	S	Rate law.

The rate of a chemical reaction doubles for every \(10^{\circ} \mathrm{C}\) rise in temperature. If the temperature increases by \(60^{\circ} \mathrm{C}\), the rate of reaction increases

Two statements, Assertion and Reason are given. Choose the correct option from the following.
Assertion: In the secondary structure of RNA, double helix structure is formed.
Reason: In the double structure of RNA, two nucleic acid chains are wound about each other and held together by hydrogen bonds between pairs of bases

If the equilibrium constant for \(\text{N}_{2(g)} + \text{O}_{2(g)} \rightleftharpoons 2\text{NO}_{(g)}\) is 49
The equilibrium constant for the reaction \(\text{NO}_{(g)} \rightleftharpoons \dfrac{1}{2}\text{N}_{2(g)} + \dfrac{1}{2}\text{O}_{2(g)}\) is __________

If \(A=\left[\begin{array}{ccc}\cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1\end{array}\right]\), the cofactor of \(a_{32}\) are

The ratio of the radii of the nucleus of two element \(\mathrm{X}\) and \(\mathrm{Y}\) having the mass numbers 232 and 29 is:

At 300 K , one mole of ideal gas in thermal contact with surrounding expands isothermally from 1.0 L to 2.0 L against a constant pressure of 3.0 atm. In this process the change in entropy of surrounding \(\left(\Delta S_{\text {surr }}\right)\) in J/K.
\((1 \mathrm{~L} \mathrm{~atm}=101.3 \mathrm{~J})\)

Two radioactive materials \(X_{1}\) and \(X_{2}\) have decay constant \(5 \lambda\) and \(\lambda\), respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of \(X_{1}\) to that \(X_{2}\) will be \(1 / e\) after a time

The dissociation of lime stone in the slag zone of the blast furnace is