The reaction with \( \text{AgNO}_3 \) is used to test for halide ions. A precipitate of \( \text{AgBr} \) (pale yellow) will form if a bromide ion is available to react with \( \text{Ag}^+ \).
Option 1: Cyclopropyl bromide
Option 2: Bromobenzene
Option 3: Benzylic bromide
Option 4: Allylic bromide
Final Answer: Bromobenzene will not produce a precipitate with \( \text{AgNO}_3 \).
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: