The correct match of the group reagents in List-I for precipitating the metal ion given in List-II from solutions, is
List–I | List–II |
---|---|
(P) Passing $\mathrm{H_2S}$ in the presence of $\mathrm{NH_4OH}$ | (1) $\mathrm{Cu^{2+}}$ |
(Q) $\mathrm{(NH_4)_2CO_3}$ in the presence of $\mathrm{NH_4OH}$ | (2) $\mathrm{Al^{3+}}$ |
(R) $\mathrm{NH_4OH}$ in the presence of $\mathrm{NH_4Cl}$ | (3) $\mathrm{Mn^{2+}}$ |
(S) Passing $\mathrm{H_2S}$ in the presence of dilute $\mathrm{HCl}$ | (4) $\mathrm{Ba^{2+}}$ |
(5) $\mathrm{Mg^{2+}}$ |
The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match each entry in List-I with the appropriate entry in List-II and choose the correct option.
List–I | List–II |
---|---|
(P) Stephen reaction | (1) $$ \text { Toluene } \xrightarrow{\begin{array}{l} \text { (i) } \mathrm{CrO}_2 \mathrm{Cl}_2 / \mathrm{CS}_2 \\ \text { (ii) } \mathrm{H}_3 \mathrm{O}^{+} \end{array}} $$ |
(Q) Sandmeyer reaction | (2) $$ \text { Benzoic acid } \xrightarrow{\substack{\text { (i) } \mathrm{PCl}_5 \\ \text { (ii) } \mathrm{NH}_3 \\ \text { (iii) } \mathrm{P}_4 \mathrm{O}_{10}, \Delta}} $$ |
(R) Hoffmann bromamide degradation reaction | (3) $$ \text { Nitrobenzene } \xrightarrow{\begin{array}{l} \text { (i) } \mathrm{Fe}, \mathrm{HCl} \\ \text { (ii) } \mathrm{HCl}, \mathrm{NaNO}_2 \\ (273-278 \mathrm{~K}), \mathrm{H}_2 \mathrm{O} \end{array}} $$ |
(S) Cannizzaro reaction | (4) $$ \text { Toluene } \xrightarrow{\begin{array}{ll} \text { (i) } \mathrm{Cl}_2 / \mathrm{h\nu}, \mathrm{H}_2 \mathrm{O} \\ \text { (ii) Tollen's reagent } \\ \text { (iii) } \mathrm{SO}_2 \mathrm{Cl}_2 \\ \text { (iv) } \mathrm{NH}_3 \end{array}} $$ |
(5) $$ \text { Aniline } \xrightarrow{\begin{array}{l} \text { (i) }\left(\mathrm{CH}_3 \mathrm{CO}\right)_2 \mathrm{O}, \text { Pyridine } \\ \text { (ii) } \mathrm{HNO}_3, \mathrm{H}_2 \mathrm{SO}_4, 288 \mathrm{~K} \\ \text { (iii) aq. } \mathrm{NaOH} \end{array}} $$ |
Match the compounds in List-I with the appropriate observations in List-II and choose the correct option.
List–I | List–II |
---|---|
(P) ![]() |
(1) Reaction with phenyl diazonium salt gives yellow dye. |
(Q) ![]() |
(2) Reaction with ninhydrin gives purple color and it also reacts with FeCl3 to give violet color. |
(R) ![]() |
(3) Reaction with glucose will give corresponding hydrazone. |
(S) ![]() |
(4) Lassiagne extract of the compound treated with dilute HCl followed by addition of aqueous $\mathrm{FeCl}_3$ gives blood red color. |
(5) After complete hydrolysis, it will give ninhydrin test and it DOES NOT give positive phthalein dye test. |
Let $\mathbb{R}$ denote the set of all real numbers. Let $a_i, b_i \in \mathbb{R}$ for $i \in \{1, 2, 3\}$.
Define the functions $f: \mathbb{R} \to \mathbb{R}$, $g: \mathbb{R} \to \mathbb{R}$, and $h: \mathbb{R} \to \mathbb{R}$ by
$f(x) = a_1 + 10x + a_2 x^2 + a_3 x^3 + x^4$
$g(x) = b_1 + 3x + b_2 x^2 + b_3 x^3 + x^4$
$h(x) = f(x + 1) - g(x + 2)$
If $f(x) \neq g(x)$ for every $x \in \mathbb{R}$, then the coefficient of $x^3$ in $h(x)$ is