In the reaction,
\(2Al(s)+6HCl(aq)\rightarrow2Al^{3+}(aq)+6Cl^{-}(aq)+3H_{2}(g)\)

\(K_2HgI_4\) is \(40\%\) ionized in aqueous solution. The value of its van’t Hoff factor \((i)\)

Number of paramagnetic oxides among the following given oxides is ..... . \(\mathrm{Li}_{2} \mathrm{O}, \mathrm{CaO}, \mathrm{Na}_{2} \mathrm{O}_{2}, \mathrm{KO}_{2}, \mathrm{MgO}\) and \(\mathrm{K}_{2} \mathrm{O}\)

Total number of optically active compounds from the following is _______.

Consider the following cell reaction : \(\mathrm{Cd}_{(s)}+\mathrm{Hg}_{2} \mathrm{SO}_{4(s)}+\frac{9}{5} \mathrm{H}_{2} \mathrm{O}_{(l)} \rightleftharpoons \mathrm{CdSO}_{4} \cdot \frac{9}{5} \mathrm{H}_{2} \mathrm{O}_{(s)}+2 \mathrm{Hg}_{(l)}\) The value of \(\mathrm{E}_{\text {cell }}^{0}\) is \(4.315\, \mathrm{~V}\) at \(25^{\circ} \mathrm{C}\). If \(\Delta \mathrm{H}^{\circ}=-825.2\, \mathrm{~kJ} \,\mathrm{~mol}^{-1}\), the standard entropy change \(\Delta \mathrm{S}^{\circ}\) in \(\mathrm{J} \,\mathrm{K}^{-1}\) is ........ . (Nearest integer) [Given : Faraday constant \(=96487\, \mathrm{C}\, \mathrm{mol}^{-1}\) ]

Which one of the following reactions will not yield propionic acid?

Which technique among the following, is most appropriate in separation of a mixture of \(100\,\,mg\) of p-nitrophenol and picric acid?

Consider a light ray travelling in air is incident into a medium of refractive index \(\sqrt{2 n}\). The incident angle is twice that of refracting angle. Then, the angle of incidence will be

A transistor is used in common-emitter mode in an amplifier circuit. When a signal of \(10\, mV\) is added to the base-emitter voltage, the base current changes by \(10 \mu A\) and the collector current changes by \(1.5 \,mA\). The load resistance is \(5 \,k \Omega\). The voltage gain of the transistor will be

A particle of mass \( m\) moving in the \(x\) direction with speed \(2v\) is hit by another particle of mass \(2m\) moving in the \(y\) direction with speed \(v\). If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to .............. \(\%\)

Let \(\vec{a}\) and \(\vec{b}\) be two vector such that \(|\vec{a}|=\sqrt{14}\), \(|\vec{b}|=\sqrt{6}\) and \(|\vec{a} \times \vec{b}|=\sqrt{48}\). Then \((\vec{a} \cdot \vec{b})^2\) is equal to \(...........\).

Given below are two statements Statement \(I :\) \(o-\)Nitrophenol is steam volatile due to intramolecular hydrogen bonding. Statement \(II :\) \(o-\)Nitrophenol has high melting due to hydrogen bonding. In the light of the above statements, choose the most appropriate answer from the options given below

Two charges each of magnitude \(0.01\,C\) and separated by a distance of \(0.4\,mm\) constitute an electric dipole. If the dipole is placed in an uniform electric field ' \(\vec{E}\) ' of \(10\,dyne/C\) making \(30^{\circ}\) angle with \(\overrightarrow{ E }\), the magnitude of torque acting on dipole is :