GATE CY 2025 Question Paper (15-Feb-2025) (Shift-1)

The total number of hyperfine lines expected in the EPR spectrum of ${}^{\bullet }C{H}_{2}OH$ (radical) is ________ (in integer).
[Note: Consider all hydrogen atoms for calculation]

Partial hydrolysis of a pentapeptide yields all possible tripeptides and dipeptides. The dipeptides that are obtained upon hydrolysis are given below.

Val-Ala, Gln-His, Phe-Val and Ala-Gln

The total number of tripeptides obtained that contain 'Ala' as one of the amino acids is ________ (in integer).

The specific rotation of enantiomerically pure (S)-2-butanol is $+14^{\circ }$. The specific rotation of enantiomeric mixture of 2-butanol obtained from an asymmetric reduction of 2-butanone is found to be $+7^{\circ }$. The percentage of (R)-2-butanol present in the reaction mixture is ________ (in integer).

The ratio of the fundamental vibrational frequencies (${\nu }_{13C16O}/{\nu }_{12C16O}$) of two diatomic molecules ${}^{13}{C}^{16}O$ and ${}^{12}{C}^{16}O$, considering their force constants to be the same, is ________ (rounded off to two decimal places).

The expressions for the vapour pressure of solid ($p_1$) and vapour pressure of liquid ($p_2$) phases of a pure substance, respectively, are
$\ln p_1=-\frac{2000}{T}+5$ and $\ln p_2=-\frac{4000}{T}+10$
The triple point temperature of this substance is ________ K (in integer).