LIST-I | LIST-II | ||
---|---|---|---|
I | Aniline | P | Sodium fusion extract of the compound on boiling with FeSO4, followed by acidification with conc. H2SO4, gives Prussian blue color. |
II | o-Cresol | Q | Sodium fusion extract of the compound on treatment with sodium nitroprusside gives blood red color. |
III | Cysteine | R | Addition of the compound to a saturated solution of NaHCO3 results in effervescence. |
IV | Coprolactam | S | The compound reacts with bromine water to give a white precipitate |
T | Treating the compound with neutral FeCl3 solution produces violet color. |
I → P, Q; II → S; III → Q, R; IV → P
I → P ; II → R, S; III → R; IV → Q, S
I → Q, S; II → P, T; III → P; IV → S
I → P, S; II → T; III → Q, R; IV → P
: Blue colour in Lassign test due to presence of N
:Violet colour with FeCl3 due to presence of phenolic OH
: It gives blood red colour with NaSCN
Caprolactam:
: Blue colour in Lassign test due to presence of N
Aniline reacts with bromine water and gives a white precipitate (reaction with bromine water).
So, Aniline corresponds to S.
The fusion extract of o-Cresol on treatment with sodium nitroprusside gives a blood-red color.
This corresponds to Q.
Cysteine reacts with a saturated solution of NaHCO3 and gives effervescence due to the release of CO2.
This corresponds to R.
Coprolactam, when treated with neutral FeCl3, gives a violet color.
This corresponds to T.
The correct option is D: I → P, S; II → T; III → Q, R; IV → P
Complete the following reactions by writing the structure of the main products:
Let $ S $ denote the locus of the point of intersection of the pair of lines $$ 4x - 3y = 12\alpha,\quad 4\alpha x + 3\alpha y = 12, $$ where $ \alpha $ varies over the set of non-zero real numbers. Let $ T $ be the tangent to $ S $ passing through the points $ (p, 0) $ and $ (0, q) $, $ q > 0 $, and parallel to the line $ 4x - \frac{3}{\sqrt{2}} y = 0 $.
Then the value of $ pq $ is
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.