\(C_{60},\) an allotrope of carbon contains

The \(INCORRECT\) match in the following is

A solution containing \(10 \mathrm{~g}\) of an electrolyte \(\mathrm{AB}_2\) in \(100 \mathrm{~g}\) of water boils at \(100.52^{\circ} \mathrm{C}\). The degree of ionization of the electrolyte \((\alpha)\) is _______ \(\times 10^{-1}\). (nearest integer) [Given : Molar mass of \(\mathrm{AB}_2=200 \mathrm{~g} \mathrm{~mol}^{-1} \cdot \mathrm{K}_{\mathrm{b}}\) (molal boiling point elevation const. of water) \(=0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\), boiling point of water \(=100^{\circ} \mathrm{C}\); \(\mathrm{AB}_2\) ionises as \(\left.\mathrm{AB}_2 \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}^{-}\right]\)

In the reaction of hypobromite with amide, the carbonyl carbon is lost as :

Identify the correct order of reactivity for the following pairs towards the respective mechanism Choose the correct answer from the options given below:

Given below are two statements :- Statement \(I\) :- Methyl orange is a weak acid. Statement \(II\) :- The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form. In the light of the above statement, choose the most appropriate answer from the options given below :-

The number of \(sp^2\) hybridised carbons present in "Aspartame" is

Given below are two statements: Statement \(I\): Fluorine has most negative electron gain enthalpy in its group. Statement \(II\): Oxygen has least negative electron gain enthalpy in its group. In the light of the above statements, choose the most appropriate from the options given below.

If \(0 <  x , y < \pi\) and \(\cos x +\cos y-\cos ( x + y )=\frac{3}{2},\) then \(\sin x+\cos y\) is equal to ...... .

Match List \(I\) with List \(II\).

List \(-I\)	List \(-II\)
\(A.\) \(\mathrm{K}_2\left[\mathrm{Ni}(\mathrm{CN})_4\right]\)	\(I.\) \(\mathrm{sp}^3\)
\(B.\) \(\left[\mathrm{Ni}(\mathrm {CO})_4\right]\)	\(II.\) \(\mathrm{sp}^3 \mathrm{~d}^2\)
\(C.\) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right) _6\right] \mathrm{Cl}_3\)	\(III.\) \(\mathrm{dsp}^2\)
\(D.\) \(\mathrm{Na}_3\left[\mathrm{CoF}_6\right]\)	\(IV.\) \(\mathrm{d}^2 \mathrm{sp}^3\)

Choose the correct answer from the options given below:

The correct order of basic nature on aqueous solution for the bases \(\mathrm{NH}_3, \mathrm{H}_2 \mathrm{~N}-\mathrm{NH}_2, \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{NH}_2\), \(\left(\mathrm{CH}_3 \mathrm{CH}_2\right)_2 \mathrm{NH}\) and \(\left(\mathrm{CH}_3 \mathrm{CH}_2\right)_3 \mathrm{~N}\) is _______.

If \({q}_{{f}}\) is the free charge on the capacitor plates and \({q}_{{b}}\) is the bound charge on the dielectric slab of dielectric constant \(k\) placed between the capacitor plates, then bound charge \(q_{b}\) can be expressed as 

The number of ways, \(16\) identical cubes, of which \(11\) are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least \(2\) blue cubes, is