Assertion (A) The property of adsorption is shown to a great extent by solids than liquids.
Reason (R) Solids like charcoal, silica can act as good adsorbents.

Catechol and \(\mathrm{m}\)-cresol respectively are

Assertion (A): The charge on one mole of electrons is one Faraday.

Reason (R): The quantity of current required to deposit one mole of \(\mathrm{Mg}\) from \(\mathrm{Mg}^{2+}\) electrolyte solution is two Faradays.

The correct answer is

In lanthanides, with increase in atomic number atomic radius decreases, except for the element \(\underline{X}\). What is \(\underline{X}\) ?

The material used in nuclear industry as protective shields and control rods is

The number of essential and non-essential amino acids from the following list respectively is
Val, Gly, Leu, Lys, Pro, Ser

From the following data at \(25^{\circ} \mathrm{C}\), calculate the \(\Delta_{\mathrm{r}} \mathrm{H}^0\) for \(\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightarrow 2 \mathrm{H}(\mathrm{g})+\mathrm{O}(\mathrm{g})\)
reaction: \(\Delta_{\mathrm{r}} \mathrm{H}^0\left(\mathrm{~kJ} \mathrm{~mol}^{-1}\right)\)
\[
\begin{array}{ll}
\frac{1}{2} \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{OH}(\mathrm{g}) & 42.09 \\
\mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g}) \rightarrow \mathrm{H}_2 \mathrm{O}(\mathrm{g}) & -242 \\
\mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{H}(\mathrm{g}) & 436 \\
\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{O}(\mathrm{g}) & 496
\end{array}
\]

If \(\operatorname{Tan}^{-1} \frac{1}{3}+\operatorname{Tan}^{-1} \frac{1}{7}+\operatorname{Tan}^{-1} \frac{1}{13}+\ldots+\operatorname{Tan}^{-1} \frac{1}{n^2+n+1}=\operatorname{Tan}^{-1} \theta\), then \(\theta=\)

\(\vec{a}, \vec{b}, \vec{c}\) are non-coplanar vectors. If \(\alpha \vec{d}=\vec{a}+\vec{b}+\vec{c}\), \(\beta \vec{a}=\vec{b}+\vec{c}+\vec{d}\), then \(|\vec{a}+\vec{b}+\vec{c}+\vec{d}|=\)

If \(\cos \alpha+3 \cos 3 \beta+5 \cos 5 \gamma=0\), \(\sin \alpha+3 \sin 3 \beta+5 \sin 5 \gamma=0\) and \(\cos 3 \alpha+27 \cos 9 \beta+125 \cos 15 \gamma=\left(\lambda^2-4\right)\) \(\cos (\alpha+3 \beta+5 \gamma)\), then \(\lambda\) is equal to

Find the equation of the right bisector of the line segment joining the points \((3,4)\) and \((-1,2)\).

Calcium carbide \(+\mathrm{D}_2 \mathrm{O} \longrightarrow \underline{X}+\mathrm{Ca}(\mathrm{OD})_2\).
The hybridisation of carbon atom(s) in \(X\)

Two cars A and B are moving with a velocity of $30\mathrm{kmph}$ in the same direction. They are separated by $10 \mathrm{km}$. The speed of another car C moving in the opposite direction, if it meets these two cars at an interval of eight minutes is