



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:

In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 
Let \( ABC \) be a triangle. Consider four points \( p_1, p_2, p_3, p_4 \) on the side \( AB \), five points \( p_5, p_6, p_7, p_8, p_9 \) on the side \( BC \), and four points \( p_{10}, p_{11}, p_{12}, p_{13} \) on the side \( AC \). None of these points is a vertex of the triangle \( ABC \). Then the total number of pentagons that can be formed by taking all the vertices from the points \( p_1, p_2, \ldots, p_{13} \) is ___________.
Consider the following two reactions A and B: 
The numerical value of [molar mass of $x$ + molar mass of $y$] is ___.