The anodic half-cell of lead-acid battery is recharged using electricity of \(0.05\, Faraday\). The amount of \(PbSO_4\) electrolyzed in \(g\) during the process is (Molar mass of \(PbSO_4 = 303\, g\, mol^{-1}\))

Total number of species from the following which can undergo disproportionation reaction _______. \(\mathrm{H}_2 \mathrm{O}_2, \mathrm{ClO}_3^{-}, \mathrm{P}_4, \mathrm{Cl}_2, \mathrm{Ag}, \mathrm{Cu}^{+1}, \mathrm{~F}_2, \mathrm{NO}_2, \mathrm{~K}^{+}\)

The geometry of \(XeOF_4\) by \(VSEPR\) theory is

Among the following, the energy of \(2s\) orbital is lowest in

Determination of the molar mass of acetic acid in benzene using freezing point depression is affected by

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 \(\left.\mathrm{AB}_2 \rightarrow \mathrm{A}^{2+}+2 \mathrm{~B}^{-}\right]\)

Maltose on treatment with dilute \(HCl\) gives

Given below are two statements:

Statement I: Aluminium is more electropositive than thallium as the standard electrode potential value of \(E^{\circ}_{\text{Al}^{3+}/\text{Al}}\) is negative and \(E^{\circ}_{\text{Tl}^{3+}/\text{Tl}}\) is positive.

Statement II: The sum of first three ionization enthalpies of boron is very high when compared to that of aluminium. Due to this reason boron forms covalent compounds only and aluminium forms \(\text{Al}^{3+}\) ion.

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

The mass percentage of nitrogen in histamine is

A circular loop of radius \(20\text{ cm}\) and resistance \(2\ \Omega\) is placed in a time varying magnetic field \(\vec{B} = (2t^2 + 2t + 3)\text{ T}\). At \(t = 0\), for the plane of the loop being perpendicular to the magnetic field and, the induced current in the loop at \(t = 3\text{ s}\) is \(\dfrac{\alpha}{50}\text{ A}\). The value of \(\alpha\) is _______.
(Take \(\pi = 22/7\))

A tuning fork of frequency \(340\,Hz\) resonates in the fundamental mode with an air column of length \(125\,cm\) in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ \(cm\) (Velocity of sound in air is \(340\,ms ^{-1}\) )

If \(m\) is the minimum value of \(k\) for which the function \(f\left( x \right) = x\sqrt {kx - {x^2}} \) is increasing in the interval \([0,3]\) and \(M\) is the maximum value of \(f\) in \([0, 3]\) when \(k = m\), then the ordered pair \((m, M)\) is equal to

For the given figures, choose the correct options: