On the basis of crystal field theory, electronic configuration of a low spin \(\mathrm{d}^4\) complex is:

Which one of the following is an incorrect statement pertaining to the properties of Coordination compounds?

An aqueous solution which contains \(42 \%\) by weight ( \(\mathrm{w} / \mathrm{W}\) ) of a volatile liquid " A " of molar mass of \(140 \mathrm{~g} / \mathrm{mol}\), has a vapour pressure of 2141.4 mm of Hg at \(37^{\circ} \mathrm{C}\). What is the vapour pressure of the pure liquid "A"? Vapour pressure of water at \(37^{\circ} \mathrm{C}\) is 2019.1 mm .

In which one of the case the chemical reaction given in Column I does not match with the name of the reaction given in Column II?
\(\begin{array}{|l|l|l|} \hline \text{S.No.} & \text{Column I - Reactions} & \text{Column II - Name of reaction.} \\ \hline \text{A} & \mathrm{C}_6 \mathrm{H}_5 \mathrm{CHO}+ \text{Conc. NaOH, heat} \rightarrow \mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_2 \mathrm{OH}+\mathrm{C}_6 \mathrm{H}_5 \mathrm{COONa} & \text{Cannizzaro's reaction} \\ \hline \text{B} & \mathrm{C}_6 \mathrm{H}_5 \mathrm{CH}_3+ \text{ (i) } \mathrm{CrO}_2 \mathrm{Cl}_2 / \mathrm{CS}_2 \text{ (ii) } \mathrm{H}_3 \mathrm{O}^{+} \rightarrow \mathrm{C}_6 \mathrm{H}_5 \mathrm{CHO} & \text{Etard reaction.} \\ \hline \text{C} & \mathrm{C}_6 \mathrm{H}_6+\mathrm{CO} / \mathrm{HCl} \text{ (anh. } \mathrm{AlCl}_3 \rightarrow \mathrm{C}_6 \mathrm{H}_5 \mathrm{CHO} & \text{Kolbe's reaction} \\ \hline \text{D} & \mathrm{RCN}+ \text{ (i) } \mathrm{SnCl}_2+\mathrm{HCl} \text{ (ii) } \rightarrow \mathrm{RCHO} & \text{Stephen's reaction.} \\ \hline \end{array}\)

For a cell reaction,
\(A(s)+B^{2+}(a q) \longrightarrow A^{2+}(a q)+B(s)\); the
standard emf of the cell is \(0.295 \mathrm{~V}\) at \(25^{\circ} \mathrm{C}\). The equilibrium constant at \(25^{\circ} \mathrm{C}\) will be

The mole fraction of an unknown solute in 1560 g of Benzene is 0.5 . What is the molality of the solution? (M. M of Benzene:78 amu)

The atomic numbers of \(\mathrm{Ni}\) and Cu are 28 and 29 respectively. The electron configuration \(1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{10}\) represents

The Molar conductivity of \(0.05 \mathrm{M}\) solution of \(\mathrm{MgCl}_2\) is \(194.5 \mathrm{~ohm}^{-1} \mathrm{~cm}^2\) per mole at room temperature. A Conductivity cell with electrodes having \(3.0 \mathrm{~cm}^2\) surface area and \(1.0 \mathrm{~cm}\) apart is filled with the solution of \(\mathrm{MgCl}_2\). What would be the resistance offered by the conductivity cell?

If \(\sin (x+y)+\cos (x+y)=\log (x+y)\), then \(\frac{d^{2} y}{d x^{2}}=\)

If the area of the triangle with vertices \((x, 0)\), \((1,1)\) and \((0,2)\) is \(4\) sq units, then the value of \(x\) is

\(11^{3}+12^{3}+13^{3}+\ldots . .+20^{3}\) is

Enthalpy of formation of \(\mathrm{HF}\) and \(\mathrm{HCl}\) are \(-161 \mathrm{~kJ}\) and \(-92 \mathrm{~kJ}\) respectively. Which of the following statements is incorrect?

The solution of
\((x+y)^{2}\left(x \frac{d y}{d x}+y\right)=x y\left(1+\frac{d y}{d x}\right)\) is