Same amount of electricity is passed through aqueous solutions of \(\mathrm{AgNO}_3\) and \(\mathrm{CuSO}_4\). The number of \(\mathrm{Ag}\) and \(\mathrm{Cu}\) atoms deposited are \(x\) and \(y\) respectively. The correct relationship between \(x\) and \(y\) is

The avoid bends sickness, the tanks used by scuba divers are filled with air and díluted with ......

Ferrous ion charges to \(X\) ion, on reacting with acidified hydrogen peroxide.
The number of \(d\)-electrons present in \(X\) and its magnetic moment (in BM) are, respectively :

The initial rates of decrease of \(\mathrm{I}_2\) in acetone - iodine reaction catalysed by \(\mathrm{H}^{+}\) are given in the table.
\(\begin{array}{|c|c|c|c|c|}
\hline \begin{array}{c}
\text { Experiment } \\
\end{array} & \begin{array}{c}
\text { Initial } \\
{\left[\mathrm{I}_2\right]} \\
\left(\mathrm{mol} \mathrm{L}^{-1}\right)
\end{array} & \begin{array}{c}
\text { Initial } \\
{\left[\mathrm{H}^{+}\right]} \\
\left(\mathrm{mol} \mathrm{L}^{-1}\right)
\end{array} & \begin{array}{c}
\text { Initial } \\
{\left[\mathrm{CH}_3 \mathrm{COCH}_3\right]} \\
\left(\mathrm{mol} \mathrm{L}^{-1}\right)
\end{array} & \begin{array}{c}
\text { Initial rate of decrease of } \mathrm{I}_2 \\
\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\right)
\end{array} \\
\hline 1 & 0.01 & 0.1 & 0.1 & 0.096 \\
2 & 0.01 & 0.2 & 0.1 & 0.192 \\
3 & 0.02 & 0.2 & 0.1 & 0.192 \\
4 & 0.01 & 0.2 & 0.2 & 0.384 \\
\hline
\end{array}\)
The order with respect to \(\mathrm{I}_2, \mathrm{H}^{+}\), acetone and total order of the reaction respectively are:

Which one of the following statements is not correct?

Which one of the following indicates correct order of atomic size of the given elements?

The reagent used in the Wolff-Kishner reduction is

The coefficient of \(x^f\) in the expansion of \(\frac{1}{\sqrt[3]{(1-2 x)^2}}\) is

If \(4^3+8^3+12^3+\ldots\) up to \(n\) terms \(=k n^2(n+1)^2\) (for all \(n \in \mathrm{N}\)), then \(k=\)

\(4 \cos \frac{\pi}{7} \cos \frac{\pi}{5} \cos \frac{2 \pi}{7} \cos \frac{2 \pi}{5} \cos \frac{4 \pi}{7}=\)

If \(\frac{x^4}{(x-1)(x-2)(x-3)}=A x+B \cdot \frac{1}{(x-1)}+C \cdot \frac{1}{(x-2)}+D \cdot \frac{1}{(x-3)}+E\), then \(A+B+C+D+E=\)

For any integer \(n \geq 1\), the sum \(\sum_{k=1}^n k(k+2)\) is equal to

In a \(\triangle A B C\), if \(r_1=36, r_2=18\) and \(r_3=12\), then \(s=\)