The time taken for \(10 \%\) completion of a first order reaction is 20 minutes. The time required for the completion of \(19 \%\) of the same reaction in minutes is

Among the common mineral acids, \(\mathrm{H}_2 \mathrm{SO}_4\) is less volatile due to

Which one of the following is a semiconductor?

In which of the following coordination compounds, the central metal ion is in zero oxidation state?

At \(298 \mathrm{~K}, \Delta_r \mathrm{G}^{\ominus}\) for the following reaction is \(165.469 \mathrm{~kJ} \mathrm{~mol}^{-1}\).
What is the equilibrium constant for this reaction? \(\left(R=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)\)
\(\frac{3}{2} \mathrm{O}_2(\mathrm{~g}) \longrightarrow \mathrm{O}_3(\mathrm{~g})\)

Identify the product of the following reaction.

Match the following
\(\begin{array}{ll}
\text{List - I} & \text{List - II} \\
\text{A) } \mathrm{Al}_2 \mathrm{O}_3+2 \mathrm{NaOH}+3 \mathrm{H}_2 \mathrm{O} \rightarrow 2 \mathrm{Na}\left[\mathrm{Al}(\mathrm{OH})_4\right] & \text{I) Roasting} \\
\text{B) } \mathrm{Ni}(\mathrm{CO})_4 \xrightarrow{230^{\circ} \mathrm{C}} \mathrm{Ni}+4 \mathrm{CO} & \text{II) Calcination} \\
\text{C) } \mathrm{Fe}_2 \mathrm{O}_3 \cdot 3 \mathrm{H}_2 \mathrm{O} \xrightarrow{\Delta} \mathrm{Fe}_2 \mathrm{O}_3+3 \mathrm{H}_2 \mathrm{O} & \text{II) Vapour phase refining} \\
\text{D) } 2 \mathrm{PbS}+3 \mathrm{O}_2 \rightarrow 2 \mathrm{PbO}+2 \mathrm{SO}_2 & \text{IV) Electrolysis} \\
& \text{V) Leaching}
\end{array}\)
The correct answer is

If \(\omega\) is a complex cube root of unity, then
\(\sin \left[\left(\omega^{10}+\omega^{23}\right) \pi-\frac{\pi}{4}\right]=\)

The graph of $\ln \left(\frac{R}{R_0}\right)$ versus $\ln A$ is where $R$ is radius of a nucleus, $A$ is its mass number, and $R_0$ is constant

If \(x+2 y-3=0,3 x+4 y-7=0,2 x+3 y-4\) \(=0\) and \(4 x+5 y-6=0\) are the equations of four lines, then

\(\int \frac{x+\sin x}{1+\cos x} d x=\)

The area bounded by the curve \(x=\log (|y|)\), the lines \(x=-1\) and \(x=0\) is

A block of mass 18.5 kg kept on a smooth horizontal surface is pulled by a rope of 3 m length by a horizontal force of 40 N applied to the other end of the rope. If the linear density of the rope is \(0.5 \mathrm{kgm}^{-1}\) and initially the block is at rest. The time in which the block moves a distance of 9 m is