The correct match for the protons labeled in compound X in Column M with the corresponding chemical shifts ($\delta$, ppm) in Column N is
Column M Column N P. $H_a$ I. 7.00 (ddd, $J = 8.4, 7.3, 1.4$ Hz, 1H) Q. $H_b$ II. 7.17 (dd, $J = 8.4, 1.4$ Hz, 1H) R. $H_c$ III. 7.59 (ddd, $J = 8.4, 7.3, 1.4$ Hz, 1H) S. $H_d$ IV. 8.12 (dd, $J = 8.4, 1.4$ Hz, 1H)
To solve this problem, we need to assign the chemical shifts of the protons labeled in compound X to the correct values in Column N based on their positions in the aromatic ring. The compound X is a substituted benzene ring, so the chemical shifts will depend on the electronic effects of the substituents:
Conclusion: By analyzing the substituents’ effects on chemical shifts, we find the best matches:
This matches with the option:
P → II; Q → III; R → I; S → IV
.
In the $^1H$-NMR spectrum of the following molecule, the signal of proton $H_a$ appears as

The $^1H$ NMR spectrum of the given iridium complex at room temperature gave a single signal at 2.6 ppm, and its $^{31}P$ 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
Compound K displayed a strong band at $1680 \text{ cm}^{-1}$ in its IR spectrum. Its $^1H$-NMR spectral data are as follows: $\delta$ (ppm) 7.30 (d, J = 7.2 Hz, 2H), 6.8 (d, J = 7.2 Hz, 2H), 3.8 (septet, J = 7.0 Hz, 1H), 2.2 (s, 3H), 1.9 (d, J = 7.0 Hz, 6H). The correct structure of compound K is
$^1H$ NMR spectrum of a mixture containing $CH_3Br$ ($x$ mol) and $(CH_3)_3CBr$ ($y$ mol) shows two singlets at 2.7 ppm and 1.8 ppm, with the relative ratio of 3:1 (integration value), respectively. The value of $x/y$ is ____________
(rounded off to the nearest integer)
Consider the following $^1H$-NMR ($400$ MHz, DMSO-$d_6$) data of a compound:
$\delta$ in ppm: $3.85$ (s, $6H$), $6.73$ (t, $J = 2.2$ Hz, $1H$), $7.1$ (d, $J = 2.2$ Hz, $2H$), and $13.05$ (brs, $1H$).
The compound is