
Bond Analysis of 2-formylhex-4-enoic acid
The compound 2-formylhex-4-enoic acid has the molecular structure represented as:
\(H–O–C(=O)–CH(CHO)–CH_2–CH=CH–CH_3\)
Where the numbering of carbon atoms is as follows: \(C_1\) to \(C_6\).
Each single bond is a \(\sigma\) (sigma) bond, and each double bond consists of one \(\sigma\) and one \(\pi\) (pi) bond.
1. The molecule contains both a –COOH (carboxylic acid) group and a –CHO (formyl) group.
2. The C=O bonds in both groups contribute two \(\pi\) bonds.
3. The C=C double bond at position 4–5 adds one more \(\pi\) bond.
4. Adding all sigma and pi bonds, we get:
\[\sigma\text{-bonds} = 19, \quad \pi\text{-bonds} = 3\]What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are
| List-I (Hybridization) | List-II (Orientation in Space) |
|---|---|
| (A) sp3 | (I) Trigonal bipyramidal |
| (B) dsp2 | (II) Octahedral |
| (C) sp3d | (III) Tetrahedral |
| (D) sp3d2 | (IV) Square planar |
Match list-I with list-II and choose the correct option.
Given below are two statements: 
Statement (II): Structure III is most stable, as the orbitals having the lone pairs are axial, where the $ \ell p - \beta p $ repulsion is minimum. In light of the above statements, choose the most appropriate answer from the options given below:
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,