List-I (Name of the test) | List-II (Reaction sequence involved) [M is metal] | |
---|---|---|
(A) Borax bead test | I | ![]() |
(B) Charcoal cavity test | II | ![]() |
(C) Cobalt nitrate test | III | ![]() |
(D) Flame test | IV | ![]() |
Cobalt nitrate test}: MCO$_3 \rightarrow$ MO \quad Co(NO$_3$)$_2$ $\xrightarrow{\Delta}$ CoO, MO.
Flame test: MCO$_3 \rightarrow$ MCl$_2 \rightarrow$ M$^{2+}$.
Borax bead test: MSO$_4$ + Na$_2$B$_4$O$_7$ $\xrightarrow{\Delta}$ M(BO$_2$)$_2 \rightarrow$ MBO$_2 \rightarrow$ M$.
Charcoal cavity test: MSO$_4$ + Na$_2$CO$_3$ $\xrightarrow{\Delta}$ MCO$_3 \rightarrow$ MO $\rightarrow$ M.
The correct matching is: A-III, B-IV, C-I, D-II.
Final Answer: A-III, B-IV, C-I, D-II.
Let \( y = f(x) \) be the solution of the differential equation
\[ \frac{dy}{dx} + 3y \tan^2 x + 3y = \sec^2 x \]
such that \( f(0) = \frac{e^3}{3} + 1 \), then \( f\left( \frac{\pi}{4} \right) \) is equal to:
Find the IUPAC name of the compound.
If \( \lim_{x \to 0} \left( \frac{\tan x}{x} \right)^{\frac{1}{x^2}} = p \), then \( 96 \ln p \) is: 32