Given the reaction of N,N-dimethylaniline ('A') with NaNO2 and HX to form 'B', the correct statements are: (1) The electrophile involved in the reaction is NO+. (3) The reaction occurs at low temperature. (4) The product 'B' formed in the above reaction is p-nitroso compound at low temperature.
Explanation: The reaction is a diazotization reaction specific to tertiary aromatic amines. NaNO2 and HX generate the nitrosonium ion (NO+), which is the electrophile. Diazotization reactions are performed at low temperatures to prevent decomposition of intermediates. The product formed is a p-nitroso compound due to electrophilic aromatic substitution at the para position. Statement (2) is incorrect because the product is a p-nitroso compound, not an N-nitroso ammonium compound.
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: