The secondary precursors of photochemical smog are

\(\mathrm{KMnO}_4\) oxidises hydrogen sulphide in acidic medium. The number of moles of \(\mathrm{KMnO}_4\) which react with one mole of hydrogen sulphide is

Cobalt (III) chloride forms a green coloured complex ' X ' with \(\mathrm{NH}_3\). Number of moles of AgCl formed when excess of \(\mathrm{AgNO}_3\) solution is added to 100 mL of 1 M solution of ' X ' is

The electrode potential for
\[
\begin{aligned}
& M^{2+}(a q)+e^{-} \longrightarrow M^{+}(a q) \\
& M^{+}(a q)+e^{-} \longrightarrow M(s)
\end{aligned}
\]
are \(+0.15 \mathrm{~V}\) and \(+0.50 \mathrm{~V}\) respectively. The value of \(E^{\circ}{ }_{M^{2+} / M}\) will be

Identify the halogen exchange reaction from the following.

At \(\mathrm{T}(\mathrm{K})\), the vapour pressure of \(x\) molal aqueous solution containing a non-volatile solute is 12.078 kPa. The vapour pressure of pure water at \(\mathrm{T}(\mathrm{K})\) is 12.3 kPa. What is the value of \(x\) ?

Match the item given in Column-I (method used for determining colligative property) and Column-II (for the corresponding colligative property) and find the correct order.
\(\begin{array}{|c|c|c|}
\hline & \text { Column I } & \text { Column II } \\
\hline \text { A. } & \text { Beckmann method } & \text { 1. Osmotic pressure } \\
\hline \text { B. } & \begin{array}{l}
\text { Ostwald-Walker method }
\end{array} & \text { 2. Elevation in B.P } \\
\hline \text { C. } & \begin{array}{l}
\text { Berkeley-Hartley method }
\end{array} & \text { 3. Depression in F.P. } \\
\hline \text { D. } & \text { Landsberger method } & \begin{array}{l}
\text { 4. Relative lowering of vapour pressure }
\end{array} \\
\hline
\end{array}\)

Eight drops of mercury, each of same radius and same charge combine to form a bigger drop. The ratio of capacitance of the bigger drop to that of each smaller drop is

If \(x=a(\cos t+t \sin t), y=a(\sin t-t \cos t)\) then \(\sqrt{\left(\frac{d x}{d t}\right)^2+\left(\frac{d y}{d t}\right)^2}=\)

The eccentricity of the conic \(36 x^2+144 y^2-36 x-96 y-119=0\) is

Which physical quantity is measured in barn

Which of the following will make a basic buffer solution.

If \(|\mathbf{a}|=1,|\mathbf{b}|=2\) and the angle between \(\mathbf{a}\) and \(\mathbf{b}\) is \(120^{\circ}\), then \(\{(\mathbf{a}+3 \mathbf{b}) \times(3 \mathbf{a}-\mathbf{b})\}^2\) is equal to