The uncertainty in the NMR frequency of a compound in liquid state (relaxation time $=1 \mathrm{s}$ ) is 0.1 Hz . The uncertainty in the frequency (in Hz) of same compound in solid state (relaxation time $=10^{-4} \mathrm{s}$ ) is
(a)10
(b)100
(c)1000
(d)$10^{-3}$
Answer
Answer: C ✓ checked by 4AB · confidence high
Explanation
Line width ∝ 1/T₂: shortening the relaxation time from 1 s to 10⁻⁴ s broadens the line 10⁴-fold, 0.1 Hz → 1000 Hz.