\(\begin{aligned}
& \mathrm{S}(\mathrm{~g})+\frac{3}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{SO}_3(\mathrm{~g})+2 x \mathrm{kcal} \\
& \mathrm{SO}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{SO}_3(\mathrm{~g})+y \mathrm{kcal}
\end{aligned}\)

The heat of formation of \(\mathrm{SO}_2(\mathrm{~g})\) is given by :

\(\mathrm{O}_2\) gas will be evolved as a product of electrolysis of :
(A) an aqueous solution of \(\mathrm{AgNO}_3\) using silver electrodes.
(B) an aqueous solution of \(\mathrm{AgNO}_3\) using platinum electrodes.
(C) a dilute solution of \(\mathrm{H}_2 \mathrm{SO}_4\) using platinum electrodes.
(D) a high concentration solution of \(\mathrm{H}_2 \mathrm{SO}_4\) using platinum electrodes.

Choose the correct answer from the options given below :

The \(71^{st}\) electron of an element \(X\) with an atomic number of \(71\) enters into the orbital:

The octahedral diamagnetic low spin complex among the following is

Total number of stereo isomers possible for the given structure is _______.

Which of the following statements is false ?

Given below are two statements:
Statement I: The Henry's law constant \(K_{H}\) is constant with respect to variations in solution's concentration over the range for which the solutions is ideally dilute.
Statement II: \(K_{H}\) does not differ for the same solute in different solvents.
In the light of the above statements, choose the correct answer from the options.

Match List \(I\) with List \(II\)

List\(I\)	List\(II\)
\(A.\) Cobalt catalyst	\(I.\) \(\left( H _2+ Cl _2\right)\) production
\(B.\)  Syngas	\(II.\) Water gas production
\(C.\) Nickel catalyst	\(III.\) Coal gasification
\(D.\) Brine solution	\(IV.\) Methanol production

Choose the correct answer from the options given below :-

A particle of mass \(m\) is acted upon by a force \(F\) given by the empirical law \(F = \frac{R}{{{t^2}}}\,v(t)\). If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot 

The resistive network shown below is connected to a \(D.C.\) source of \(16\, V\). The power consumed by the network is \(4\, Watt\). The value of \(R\) is ............. \(\Omega\)

The one division of main scale of vernier callipers reads \(1\,mm\) and \(10\) divisions of Vernier scale is equal to the \(9\) divisions on main scale. When the two jaws of the instrument touch each other the \(zero\) of the Vernier lies to the right of \(zero\) of the main scale and its fourth division coincides with a main scale division. When a spherical bob is tightly placed between the two jaws, the \(zero\) of the Vernier scale lies in between \(4.1\,cm\) and \(4.2\,cm\) and \(6^{\text {th }}\) Vernier division coincides with a main scale division. The diameter of the bob will be \(.............10^{-2}\,cm\)

The isomer(s) of \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{4} \mathrm{Cl}_{2}\right]\) that has/have a \(\mathrm{Cl}-\mathrm{Co}-\mathrm{Cl}\) angle of \(90^{\circ},\) is/are

The absolute difference between the squares of the radii of the two circles passing through the point \((-9,4)\) and touching the lines \(x+y=3\) and \(x-y=3\), is equal to ______.