Following limiting molar conductivities are given as \(\lambda_{\mathrm{m}\left(\mathrm{H}_{2} \mathrm{SO}_{4}\right)}^{0}=\mathrm{x} \;\mathrm{S}\; \mathrm{cm}^{2} \mathrm{mol}^{-1}\) \(\lambda_{\mathrm{m}\left(\mathrm{K}_{2} \mathrm{SO}_{4}\right)}^{0}=\mathrm{y} \;\mathrm{S\;cm}^{2} \mathrm{mol}^{-1}\) \(\lambda_{\mathrm{m}(\mathrm{CH_3} \mathrm{COOK})}^{0}=\mathrm{z}\; \mathrm{S\;cm}^{2} \mathrm{mol}^{-1}\) \(\lambda_{\mathrm{m}}^{0}\left(\mathrm{in}\; \mathrm{S} \;\mathrm{cm}^{2} \mathrm{mol}^{-1}\right)\) for \(\mathrm{CH}_{3} \mathrm{COOH}\) will be

Of the following alcohols, the one that would react fastest with conc. \(HCl\) and anhydrous \(ZnCl_{2}\) is,

In the following reaction: \(HC \equiv CH\,\xrightarrow[{H{g^{2 + }}}]{{{H_2}S{O_4}}}\,'P'\) Product \('P'\) will not give

In hydrogen atom, the de Broglie wavelength of an electron in the second Bohr orbit is \([\) Given that Bohr radius, \(a_0 = 52.9 \;pm]\)

The order of stability of the following tautomeric compounds is \(\mathop {\begin{array}{*{20}{c}}
  {OH\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,O} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,||} \\ 
  {C{H_2} = C - C{H_2} - C - C{H_3}} 
\end{array}}\limits_{(I)}  \rightleftharpoons \) \(\mathop {\begin{array}{*{20}{c}}
  {OH\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,O} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,||} \\ 
  {C{H_3} - C - C{H_2} - C - C{H_3}} 
\end{array}}\limits_{(II)}  \rightleftharpoons \) \(\mathop {\begin{array}{*{20}{c}}
  {OH\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,O} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,||} \\ 
  {C{H_3} - C = CH - C - C{H_3}} 
\end{array}}\limits_{(III)} \)

Under isothermal and reversible conditions, the term "free energy" in thermodynamics signifies

Isotonic solutions have same

The term "glycocalyx" is used for

A wall consists of alternating blocks of length \(d\) and coefficient of thermal conductivity \(K_{1}\) and \(K_{2}\) respectively as shown in figure. The cross sectional area of the blocks are the same. The equivalent coefficient of thermal conductivity of the wall between left and right is

The power of a biconvex lens is \(10\) dioptre and the radius of curvature of each surface is \(10 \;cm\). Then the refractive index of the material of the lens is,

Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population?

The correct difference between first- and second-order reaction is that

The number of structural isomers possible from the molecular formula \(C_3H_9N\) is