At temperature T, compound \(\mathrm{AB}_{2(\mathrm{~g})}\) dissociates as \(\mathrm{AB}_{2(\mathrm{~g})} \rightleftharpoons \mathrm{AB}_{(\mathrm{g})}+\frac{1}{2} \mathrm{~B}_{2(\mathrm{~g})}\) having degree of dissociation \(x\) (small compared to unity). The correct expression for \(x\) in terms of \(\mathrm{K}_{\mathrm{p}}\) and p is _______.

Number of \(\mathrm{Cl}=\mathrm{O}\) bonds in chlorous acid, chloric acid and perchloric acid respectively are :

Among \(Co ^{3+}, Ti ^{2+}, V ^{2+}\) and \(Cr ^{2+}\) ions, one if used as a reagent cannot liberate \(H _{2}\) from dilute mineral acid solution, its spin-only magnetic moment in gaseous state is \(......B.M\). (Nearest integer)

Complete combustion of \(3\, g\) of ethane gives \(x \times 10^{22}\) molecules of water. The value of \(x\) is ......... (Round off to the Nearest Integer). [Use: \(N _{ A }=6.023 \times 10^{23} ;\) Atomic masses in \(u\) \(C : 12.0 ; O : 16.0 ; H : 1.0]\)

Williamson synthesis of ether is an example of

For the following Assertion and Reason, the correct option is Assertion : For hydrogenation reactions, the catalytic activity increases from Group \(5\) to Group \(11\) metals with maximum activity shown by Group \(7-9\) elements. Reason : The reactants are most strongly adsorbed on group \(7-9 \) elements.

Given below are two statements.
Statement I : The dipole moment of \(\stackrel{4}{\mathrm{CH}_3}-\stackrel{3~~~~}{\mathrm{CH}}=\stackrel{3~~~~}{\mathrm{CH}}-\stackrel{1~~~~}{\mathrm{CH}}=\mathrm{O}\) is greater than \(\stackrel{4}{\mathrm{CH}_3}-\stackrel{3}{\mathrm{CH}_2}-\stackrel{2}{\mathrm{CH}_2}-\stackrel{1}{\mathrm{CH}}=\mathrm{O}\)
Statement II : \(\mathbf{C}_1-\mathbf{C}_2\) bond length of \(\underset{4}{\mathrm{CH}_3-\mathrm{}} \underset{3}{\mathrm{CH=}} \underset{2}{\mathrm{CH}}-\mathrm{CH}=\mathrm{O}\) is greater than \(\mathrm{C}_1-\mathrm{C}_2\) bond length of

In the light of the above statements, choose the correct answer from the options given below:

\(N\,moles\) of a diatomic gas in a cylinder are at a temperature \(T\). Heat is supplied to the cylinder such that the temperature remains constant but \(n\,moles\) of the diatomic gas get converted into monoatomic gas. What is the change in the total kinetic energy of the gas ?

If the coefficient of \(\mathrm{a}^{7} \mathrm{~b}^{8}\) in the expansion of \((a+2 b+4 a b)^{10}\) is \(K \cdot 2^{16}\), then \(K\) is equal .... .

Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is ______ .

Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, \(\frac{x^{2}}{4}+\frac{y^{2}}{2}=1\) from any of its foci?

The radiation corresponding to \(3 \rightarrow 2\) transition of a hydrogen atom falls on a gold surface to generate photoelectrons. These electrons are passed through a magnetic field of \(5 \times 10^{-4} \,{T}\). Assume that the radius of the largest circular path followed by these electrons is \(7\, {mm}\), the work function of the metal is \(.....\,{eV}\) (Mass of electron \(=9.1 \times 10^{-31} \,{kg}\) )

A galvanometer having a coil of resistance \(30 \Omega\) need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be \(\frac{30}{X} \Omega\), where \(X\) is ________.