The conjugate base of phosphorus acid is \(x\). The conjugate base of oleum is \(y\). What are \(x\) and \(y\), respectively?

Nitrous acid was disproportionated to form water, \(\mathrm{HNO}_3\) and \(X\). In another reaction, sodium nitrite was reacted with \(\mathrm{H}_2 \mathrm{SO}_4\) to form \(\mathrm{NaHSO}_4, \mathrm{HNO}_3\), water and \(Y\). What are \(X\) and \(Y\) respectively?

Match the following

The tendency of catenation in group-14 elements follows the order :

The \(-\mathrm{NO}_2\) in the following conjugated system shows

An element ' \(X\) ' with the atomic number 13 forms a complex of the type \(\left[\mathrm{XCl}\left(\mathrm{H}_2 \mathrm{O}\right)_5\right]^{2+}\). The covalency and oxidation state of \(X\) in it are respectively

${\mathrm{CuSO}}_4$ solution is electrolysed for $15$ minutes to deposit $0.4725 \mathrm{g}$ of copper at the cathode. The current in amperes required is $($Faraday $=96,500{\mathrm{Cmol}}^{-1}$, atomic weight of copper $=63)$

If \(P\) and the origin are the points of intersection of the parabolas \(y^2=32 x\) and \(2 x^2=27 y\); and if \(\theta\) is the acute angle between these curves at \(P\), then \(5 \sqrt{\tan \theta}=\)

In the figure shown, \(\mathrm{AB}\) is a rod of length \(30 \mathrm{~cm}\), area of cross-section \(1 \mathrm{~cm}^2\) and thermal conductivity \(336 \mathrm{SI}\) units. The ends \(\mathrm{A}\) and \(\mathrm{B}\) are at constant temperatures \(20^{\circ} \mathrm{C}\) and \(40^{\circ} \mathrm{C}\) respectively. A point \(\mathrm{C}\) of the rod is connected to ice at \(0^{\circ} \mathrm{C}\) in a thermally insulated box \(\mathrm{D}\) through a highly conducting wire of negligible heat capacity. The rate at which ice melts in the box is \(\left(\mathrm{L}_{\mathrm{ice}}=80 \mathrm{cal} \mathrm{g}^{-1}\right)\)

Which one of the following is a homogeneous differential equation?

The correct answer is
\(\begin{array}{llll}
A & B & C & D
\end{array}\)

A particle moving in \(\mathrm{x}-\mathrm{y}\) plane starts from the origin at \(\mathrm{t}=0\) with an initial velocity \((-\hat{\mathrm{i}}+\hat{\mathrm{j}}) \mathrm{ms}^{-1}\) and undergoes an acceleration of \((6 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}) \mathrm{ms}^{-2}\). It's displacement after \(2 \mathrm{~s}\) is

The correct electronic configuration of the element \(\mathrm{Au}\) is