The Gabriel phthalimide synthesis is specific to primary amines. Hinsberg’s reagent helps distinguish between primary, secondary, and tertiary amines based on solubility behavior. The reaction with HONO and β-naphthol confirms the presence of an aromatic primary amine.
Gabriel phthalimide synthesis is specifically used to prepare primary amines. Therefore:
(P) must be a primary amine.
Hinsberg’s reagent reacts with secondary amines to form a solid product that is insoluble in NaOH. Therefore:
(Q) must be a secondary amine.
Reaction with HONO followed by β-naphthol in NaOH produces a red dye, which is a characteristic test for aromatic primary amines. Therefore:
(R) must be an aromatic primary amine.
Final Answer: (4)
Find the least horizontal force \( P \) to start motion of any part of the system of three blocks resting upon one another as shown in the figure. The weights of blocks are \( A = 300 \, {N}, B = 100 \, {N}, C = 200 \, {N} \). The coefficient of friction between \( A \) and \( C \) is 0.3, between \( B \) and \( C \) is 0.2 and between \( C \) and the ground is 0.1.
Let one focus of the hyperbola $ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 $ be at $ (\sqrt{10}, 0) $, and the corresponding directrix be $ x = \frac{\sqrt{10}}{2} $. If $ e $ and $ l $ are the eccentricity and the latus rectum respectively, then $ 9(e^2 + l) $ is equal to:
The largest $ n \in \mathbb{N} $ such that $ 3^n $ divides 50! is: