The compound(s) which will have only two signals in the \( ^1 \text{H} \) NMR spectrum in 3:2 ratio is(are)

Step 1: Understanding NMR spectra.
The \( ^1 \text{H} \) NMR spectrum shows the number of different proton environments in a compound, with the intensity ratio representing the relative number of protons in each environment. The 3:2 ratio indicates two distinct proton environments.
Step 2: Analyzing the options.
- Option (A): The compound shows two distinct proton environments in a 3:2 ratio, where the methyl group and the benzene ring give the expected intensities.
- Options (B), (C), and (D) do not show the correct intensity ratio based on the given proton environments.
Step 3: Conclusion.
The compound with two signals in a 3:2 ratio is (A).
The UV-visible spectrum of [Ni(en)\(_3\)]\(^{2+}\) (en = ethylenediamine) shows absorbance maxima at 11200 cm\(^{-1}\), 18350 cm\(^{-1}\), and 29000 cm\(^{-1}\).

[Given: Atomic number of Ni = 28] The correct match(es) between absorbance maximum and electronic transition is/are
Compound K displayed a strong band at 1680 cm−1 in its IR spectrum. Its 1H-NMR spectral data are as follows:
δ (ppm):
7.30 (d, J = 7.2 Hz, 2H)
6.80 (d, J = 7.2 Hz, 2H)
3.80 (septet, J = 7.0 Hz, 1H)
2.20 (s, 3H)
1.90 (d, J = 7.0 Hz, 6H)
The correct structure of compound K is:
The 1H NMR spectrum of the given iridium complex at room temperature gave a single signal at 2.6 ppm, and its 31P NMR spectrum gave a single signal at 23.0 ppm. When the spectra were recorded at lower temperatures, both these signals split into a complex pattern. The intra-molecular dynamic processes shown by this molecule are:

One mole of a monoatomic ideal gas starting from state A, goes through B and C to state D, as shown in the figure. Total change in entropy (in J K\(^{-1}\)) during this process is ............... 
The number of chiral carbon centers in the following molecule is ............... 
A tube fitted with a semipermeable membrane is dipped into 0.001 M NaCl solution at 300 K as shown in the figure. Assume density of the solvent and solution are the same. At equilibrium, the height of the liquid column \( h \) (in cm) is ......... 
An electron at rest is accelerated through 10 kV potential. The de Broglie wavelength (in A) of the electron is .............