



To identify the structure of 2,3-dibromo-1-phenylpentane, let's break down and understand the name as per IUPAC nomenclature rules:
Let's now analyze the given options to determine which structure represents 2,3-dibromo-1-phenylpentane:
Thus, Option 3 correctly depicts 2,3-dibromo-1-phenylpentane.
Therefore, the correct answer is represented by the structural diagram in Option 3.
The IUPAC name 2,3-dibromo-1-phenylpentane indicates that:
- There is a phenyl group attached to the first carbon of the pentane chain.
- Bromine atoms are attached to the second and third carbons of the chain.
In the options provided, structure 3 matches this description, with a phenyl group at the first carbon and bromine atoms at the second and third carbons.
Thus, the correct structure is: Structure 3
From the given following (A to D) cyclic structures, those which will not react with Tollen's reagent are : 
Compound 'P' undergoes the following sequence of reactions : (i) NH₃ (ii) $\Delta$ $\rightarrow$ Q (i) KOH, Br₂ (ii) CHCl₃, KOH (alc), $\Delta$ $\rightarrow$ NC-CH₃. 'P' is : 

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 ___________.