



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
Identify the correct orders against the property mentioned:
A. H$_2$O $>$ NH$_3$ $>$ CHCl$_3$ - dipole moment
B. XeF$_4$ $>$ XeO$_3$ $>$ XeF$_2$ - number of lone pairs on central atom
C. O–H $>$ C–H $>$ N–O - bond length
D. N$_2$>O$_2$>H$_2$ - bond enthalpy
Choose the correct answer from the options given below:
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \( f(x + y) = f(x) f(y) \) for all \( x, y \in \mathbb{R} \). If \( f'(0) = 4a \) and \( f \) satisfies \( f''(x) - 3a f'(x) - f(x) = 0 \), where \( a > 0 \), then the area of the region R = {(x, y) | 0 \(\leq\) y \(\leq\) f(ax), 0 \(\leq\) x \(\leq\) 2 is :
The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is: