| List-I (Compound) | List-II (Shape) |
|---|---|
| (A) \(BrF_5\) | (I) bent |
| (B) \([CrF_6]^{3–}\) | (II) square pyramidal |
| (C) \(O_3\) | (III) trigonal bipyramidal |
| (D) \(PCI_5\) | (IV) octahedral |
The correct matching is:
(A) \(BrF_5\) – square pyramidal
(B) \([CrF6]^{3–}\) – octahedral
(C) \(O_3\) - bent
(D) \(PCI_5\) – trigonal bipyramidal
So, the correct option is (C): (A)-(II), (B)-(IV), (C)-(I), (D)-(III).
Given below are two statements regarding conformations of n-butane. Choose the correct option. 
Consider a weak base \(B\) of \(pK_b = 5.699\). \(x\) mL of \(0.02\) M HCl and \(y\) mL of \(0.02\) M weak base \(B\) are mixed to make \(100\) mL of a buffer of pH \(=9\) at \(25^\circ\text{C}\). The values of \(x\) and \(y\) respectively are
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 ___________.
A coordination compound holds a central metal atom or ion surrounded by various oppositely charged ions or neutral molecules. These molecules or ions are re-bonded to the metal atom or ion by a coordinate bond.
A coordination entity composes of a central metal atom or ion bonded to a fixed number of ions or molecules.
A molecule, ion, or group which is bonded to the metal atom or ion in a complex or coordination compound by a coordinate bond is commonly called a ligand. It may be either neutral, positively, or negatively charged.