Among the following, the compounds which can be prepared by nucleophilic substitution reaction are:

Step 1: Analyze the Compounds.
- (I) The azide ion (\( \text{N}_3^- \)) is a good nucleophile, but the structure shown does not indicate a typical leaving group or favorable conditions for substitution.
- (II) The acetoxy group (\( \text{OAc} \)) is a good leaving group, making this compound suitable for nucleophilic substitution.
- (III) The bromine group (\( \text{Br} \)) is a good leaving group, but the structure indicates a less favorable position for nucleophilic attack.
- (IV) The nitro group (\( \text{NO}_2 \)) on a benzene ring makes this compound reactive to nucleophilic substitution, especially under appropriate conditions.
- (V) The iodine group (\( \text{I} \)) is a good leaving group and allows nucleophilic substitution.
- (VI) The methoxy group (\( \text{OMe} \)) can undergo nucleophilic substitution, especially in suitable solvents.
Step 2: Conclusion.
The compounds that can undergo nucleophilic substitution are II, IV, and VI.
Final Answer: \[ II, IV, \text{ and } VI. \]
Which of the following statement is true with respect to H\(_2\)O, NH\(_3\) and CH\(_4\)?
(A) The central atoms of all the molecules are sp\(^3\) hybridized.
(B) The H–O–H, H–N–H and H–C–H angles in the above molecules are 104.5°, 107.5° and 109.5° respectively.
(C) The increasing order of dipole moment is CH\(_4\)<NH\(_3\)<H\(_2\)O.
(D) Both H\(_2\)O and NH\(_3\) are Lewis acids and CH\(_4\) is a Lewis base.
(E) A solution of NH\(_3\) in H\(_2\)O is basic. In this solution NH\(_3\) and H\(_2\)O act as Lowry-Bronsted acid and base respectively.
Which of the following linear combinations of atomic orbitals will lead to the formation of molecular orbitals in homonuclear diatomic molecules (internuclear axis in z-direction)?
(1) \( 2p_z \) and \( 2p_x \)
(2) \( 2s \) and \( 2p_x \)
(3) \( 3d_{xy} \) and \( 3d_{x^2-y^2} \)
(4) \( 2s \) and \( 2p_z \)
(5) \( 2p_z \) and \( 3d_{x^2-y^2} \)
Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹1000(X - 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?

The Lineweaver-Burk plot for an enzyme obeying the Michaelis-Menten mechanism is given below.

The slope of the line is \(0.36 \times 10^2\) s, and the y-intercept is \(1.20\) mol\(^{-1}\) L s. The value of the Michaelis constant (\(K_M\)) is ________ \( \times 10^{-3} \) mol L\(^{-1}\) (in integer). [Note: \(v\) is the initial rate, and \([S]_0\) is the substrate concentration]