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

The phase diagram of a single component system is given below.


The option with the correct number of degrees of freedom corresponding to the labelled points i, j, and k, respectively, is

An approximate partition function $Q(N,V,T)$ of a gas is given below.
$Q(N,V,T)=\frac{1}{N!}(\frac{2\pi m{k}_{B}T}{h^2}{)}^{3N/2}(V-Nb{)}^N$
The equation of state(s) for this gas is/are
[Note: $b$ is a parameter independent of volume.]

The compound(s) having structure similar to that of $B_2{H}_6$ is/are

The UV-visible spectrum of $[Ni(en{)}_3{]}^{2+}$ (en = ethylenediamine) shows absorbance maxima at $11200{\text{ cm}}^{-1}$, $18350{\text{ cm}}^{-1}$, and $29000{\text{ cm}}^{-1}$.[Given: Atomic number of Ni = 28]
The correct match(es) between absorbance maximum and electronic transition is/are

Cytochrome P450 (CYP) enzymes catalyze stereoselective C–H hydroxylation of hydrocarbons in the presence of $O_2$. The correct statement(s) about the structure and activity of CYP is/are