To determine which of the given molecules has a trigonal planar shape, we first need to understand the concept of molecular geometry. The shape of a molecule is determined by the arrangement of atoms around the central atom, which is influenced by the electron-pair repulsion theory, often called the VSEPR (Valence Shell Electron Pair Repulsion) theory.
VSEPR Theory: The shape of a molecule is determined by the repulsions between electron pairs in the valence shell of the central atom. These pairs arrange themselves as far apart as possible to minimize repulsions.
| Molecule | Chemical Formula | Geometry |
|---|---|---|
| Methane | \( \mathrm{CH_4} \) | Tetrahedral |
| Boron Trifluoride | \( \mathrm{BF_3} \) | Trigonal Planar |
| Ammonia | \( \mathrm{NH_3} \) | Trigonal Pyramidal |
| Water | \( \mathrm{H_2O} \) | Bent |
Analyzing each molecule:
Thus, the molecule with a trigonal planar shape is \( \mathrm{BF_3} \).
Step 1: Understand molecular geometry
- \( \mathrm{CH_4} \): tetrahedral shape (4 bonds, no lone pairs)
- \( \mathrm{BF_3} \): 3 bonds, no lone pairs, trigonal planar
- \( \mathrm{NH_3} \): trigonal pyramidal (3 bonds + 1 lone pair)
- \( \mathrm{H_2O} \): bent or angular (2 bonds + 2 lone pairs)
Step 2: Conclusion
Only \( \mathrm{BF_3} \) has trigonal planar geometry.
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 : 
