Decreasing order towards \(S_N 1\) reaction for the following compounds is:

The correct order in aqueous medium of basic strength in case of methyl substituted amines is :

For water \(\Delta_{\text {vap }} \mathrm{H}=41 \mathrm{~kJ} \mathrm{~mol}^{-1}\) at \(373 \mathrm{~K}\) and 1 bar pressure. Assuming that water vapour is an ideal gas that occupies a much larger volume than liquid water, the internal energy change during evaporation of water is \(...... \mathrm{kJ}\, \mathrm{mol}^{-1}\) [Use: \(\left.\mathrm{R}=8.3 \,\mathrm{~J} \,\mathrm{~mol}^{-1}\, \mathrm{~K}^{-1}\right]\)

The compounds that produce \(CO _2\) with aqueous \(NaHCO _3\) solution are _______.
\(\qquad\)\(\qquad\)

Choose the correct answer from the options given below:

Given below are two statements: Statement \(I:\) \(\left[\mathrm{Mn}(\mathrm{CN})_{6}\right]^{3-},\left[\mathrm{Fe}(\mathrm{CN})_{6}\right]^{3-}\) and \(\left[\mathrm{Co}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]^{3-}\) are \(d^{2} \mathrm{sp}^{3}\) hybridised. Statement \(II:\) \(\left[\mathrm{MnCl}_{6}\right]^{3-}\) and \(\left[\mathrm{FeF}_{6}\right]^{3-}\) are paramagnetic and have \(4\) and \(5\) unpaired electrons, respectively. In the light of the above statements, choose the coorrect answer from the options given below :

The overall stability constant of the complex ion \(\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+}\) is \(2.1 \times 10^{13} . \quad\) The overall dissociations constant is \(\mathrm{y} \times 10^{-14}\). Then y is ....... .(Nearest integer)

In an acid -base titration, \(0.1\, M\, HCl\) solution was added to the \(NaOH\) solution of unknown strength. Which of the following correctly shows the change of \(pH\) of the titration mixture in this experiment?

The greatest value of \(c \in R\) for which the system of linear equations \(x - cy - cz = 0 \,\,;\,\, cx - y + cz = 0 \,\,;\,\, cx + cy - z = 0 \) has a non -trivial solution, is

The magnetic field of an electromagnetic wave is given by \(\vec B = 1.6 \times {10^{ - 6}}\,\cos \,\left( {2 \times {{10}^7}z + 6 \times {{10}^{15}}t} \right)\left( {2\hat i + \hat j} \right)\frac{{Wb}}{{{m^2}}}\) The associated electric field will be

Glycosidic linkage between \(C _{1}\) of \(\alpha\)-glucose and \(C _{2}\) of \(\beta\)-fructose is found in.

Consider the following equilibrium, \(\mathrm{CO}(\mathrm{g})+2 \mathrm{H}_2(\mathrm{g}) \rightleftharpoons \mathrm{CH}_3 \mathrm{OH}(\mathrm{g})\) 0.1 mol of CO along with a catalyst is present in a \(2 \mathrm{dm}^3\) flask maintained at 500 K. Hydrogen is introduced into the flask until the pressure is 5 bar and 0.04 mol of \(\mathrm{CH}_3 \mathrm{OH}\) is formed. The \(\mathrm{K}_{\mathrm{p}}^0\) is ______ \(\times 10^{-3}\) (nearest integer).
Given : \(\mathrm{R}=0.08 \mathrm{dm}^3\) bar \(\mathrm{K}^{-1} \mathrm{~mol}^{-1}\)
Assume only methanol is formed as the product and the system follows ideal gas behaviour.

Which statement is not true with respect to nitrate ion test ?

Let two straight lines drawn from the origin \(O\) intersect the line \(3 x+4 y=12\) at the points \(P\) and \(\mathrm{Q}\) such that \(\triangle \mathrm{OPQ}\) is an isosceles triangle and \(\angle \mathrm{POQ}=90^{\circ}\). If \(l=\mathrm{OP}^2+\mathrm{PQ}^2+\mathrm{QO}^2\), then the greatest integer less than or equal to \(l\) is :