



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 \( \text{AgNO}_3 \).
Match the LIST-I with LIST-II: 
Choose the correct answer from the options given below:
CH$_3$–Br $\xrightarrow{\text{CH$_3$OH/Nu}}$ CH$_3$OH
Correct order of rate of this reaction for given nucleophile:

Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.