Choose the correct answer from the options given below :

The correct order of intensity of colors of the compounds is :

The correct increasing order of stability of the complexes based on \(\Delta_{\mathrm{o}}\) value is _______.
I. \(\left[\mathrm{Mn}(\mathrm{CN})_6\right]^{3-}\)
II. \(\left[\mathrm{Co}(\mathrm{CN})_6\right]^{4-}\)
III. \(\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{4-}\)
IV. \(\left[\mathrm{Fe}(\mathrm{CN})_6\right]^{3-}\)

Fluorination of an aromatic ring is easily accomplished by treating a diazonium salt with \(HBF_4\). Which of the following conditions is correct about this reaction?

' \(X\) ' is the number of electrons in \(t_{2 g}\) orbitals of the most stable complex ion among \(\left[\mathrm{Fe}\left(\mathrm{NH}_3\right)_6\right]^{3+}\), \(\left[\mathrm{Fe}\left(\mathrm{Cl}_6\right)\right]^{3-},\left[\mathrm{Fe}\left(\mathrm{C}_2 \mathrm{O}_4\right)_3\right]^{3-}\) and \(\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}\). The nature of oxide of vanadium of the type \(\mathrm{V}_2 \mathrm{O}_{\mathrm{X}}\) is _______.

Identify the incorrect statement for \(PCl _{5}\) from the following.

In the following reaction; \(xA \longrightarrow yB\) \({\log _{10}}\,\left[ { - \frac{{d\left[ A \right]}}{{dt}}} \right] = {\log _{10}}\,\left[ {\frac{{d\left[ B \right]}}{{dt}}} \right] + 0.3010\) \(‘A’\) and \(‘B’\) respectively can be

A graph of vapour pressure and temperature for three different liquids \(X, Y\) and \(Z\) is shown below The following inferences are made \((A)\) \(\mathrm{X}\) has higher intermolecular interactions compared to \(Y\). \((B)\) \(\mathrm{X}\) has lower intermolecular interactions compared to \(Y\). \((C)\) \(\mathrm{Z}\) has lower intermolecular interactions compared to \(Y.\) The correct inference(s) is/are

If \(5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9,\) then \(\cos 4x\) is equal to

\(2.5 \mathrm{~g}\) of a non-volatile, non-electrolyte is dissolved in \(100 \mathrm{~g}\) of water at \(25^{\circ} \mathrm{C}\). The solution showed a boiling point elevation by \(2^{\circ} \mathrm{C}\). Assuming the solute concentration in negligible with respect to the solvent concentration, the vapour pressure of the resulting aqueous solution is _______ \(\mathrm{mm}\) of \(\mathrm{Hg}\) (nearest integer) [Given : Molal boiling point elevation constant of water \(\left(\mathrm{K}_{\mathrm{b}}\right)=0.52 \mathrm{K.} \mathrm{kg} \mathrm{mol}^{-1}\), \(1 \mathrm{~atm}\) pressure \(=760 \mathrm{~mm}\) of \(\mathrm{Hg}\), molar mass of water \(=18 \mathrm{~g} \mathrm{~mol}^{-1}\)

The gravitational potential at a point above the surface of earth is \(-5.12 \times 10^7 \mathrm{~J} / \mathrm{kg}\) and the acceleration due to gravity at that point is \(6.4 \mathrm{~m} / \mathrm{s}^2\). Assume that the mean radius of earth to be \(6400 \mathrm{~km}\). The height of this point above the earth's surface is _______.

The surface tension of a soap bubble is \(0.03\) N/m. The work done in increasing the diameter of bubble from \(2\) cm to \(6\) cm is \(\alpha \pi \times 10^{-4}\) J. The value of \(\alpha\) is _______. (Take \(\pi = 3.14\))

The distance ofthe point  \((1,3,-7)\)  from the plane passing through the point \(\left( {1, - 1, - 1} \right)\) having normal perpendicular to both the lines \(\frac{{x - 1}}{1} = \frac{{y + 2}}{{ - 2}} = \frac{{z - 4}}{3}\) and \(\frac{{x - 2}}{2} = \frac{{y + 1}}{{ - 1}} = \frac{{z + 7}}{{ - 1}}\) is . . . .