Choose the correct option
| Molecule | Shape | ||
|---|---|---|---|
| A | \(BrF_5\) | i | T-shape |
| B | \(H_2O\) | ii | See-saw |
| C | \(ClF_3\) | iii | Bent |
| D | \(SF_4\) | iv | Square Pyramidal |
Analyze Each Molecule Based on VSEPR Theory:
BrF5: The molecule has five bonded pairs and one lone pair around bromine, leading to a square pyramidal shape.
H2O: Water has two bonded pairs and two lone pairs, giving it a bent shape.
ClF3: Chlorine trifluoride has three bonded pairs and two lone pairs, resulting in a T-shape.
SF4: Sulfur tetrafluoride has four bonded pairs and one lone pair, leading to a see-saw shape.
Match Each Molecule with the Correct Shape:
(A) BrF5 - Square pyramidal
(B) H2O - Bent
(C) ClF3 - T-shape
(D) SF4 - See-saw
Conclusion: Based on the shapes identified above, the correct answer is Option (1).
To determine the correct shape of the given molecules, we need to understand the molecular geometry based on their Lewis structures and VSEPR (Valence Shell Electron Pair Repulsion) theory.
Using the information above, we can match each molecule to its correct shape:
Therefore, the correct option is:
(A)- IV, (B)- III, (C)- I, (D)- II
The relation between nm (nm = the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number (l), is


For the circuit shown above, the equivalent gate is:
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is: