List of top Physical Chemistry Questions asked in GATE CY

The major product formed in the following reaction:

is:

Among the following eight compounds, the number of compound(s) which can exhibit stereoisomerism is \(\underline{\hspace{2cm}}\).

The number of signal(s) in the \( ^1H \) NMR spectrum of the following compound

recorded at 25°C in \(CDCl_3\) is \(\underline{\hspace{2cm}}\).

The geometry and the number of unpaired electrons in tetrakis(1-norbomyl)Co, respectively, are:

The major product formed in the following reaction:

is:

Among the following, the compounds which can be prepared by nucleophilic substitution reaction are:

The rate constants for the decomposition of a molecule in the presence of oxygen are \(0.237 \times 10^{-4}\) L mol\(^{-1}\) s\(^{-1}\) at 0 °C and \(2.64 \times 10^{-4}\) L mol\(^{-1}\) s\(^{-1}\) at 25 °C. The activation energy for this reaction (rounded off to one decimal place) is \(\underline{\hspace{2cm}}\) kJ mol\(^{-1}\).
Given: \( R = 8.314 \, \text{J mol}^{-1} \text{K}^{-1} \).

A laser Raman spectrometer operating at 532 nm is used to record the vibrational spectrum of \( \text{Cl}_2 \) having its fundamental vibration at 560 cm\(^{-1}\). The Stokes line corresponding to this vibration will be observed at \(\underline{\hspace{2cm}}\) cm\(^{-1}\).

The de Broglie wavelength of an argon atom (mass = 40 amu) traveling at a speed of 250 m/s (rounded off to one decimal place) is \(\underline{\hspace{2cm}}\) picometers.
Given: \( N = 6.022 \times 10^{23}, h = 6.626 \times 10^{-34} \, \text{kg m}^2 \text{s}^{-1} \).

The correct statement(s) about actinides is/are:

The correct order of Lewis acid strengths of BF\(_2\)Cl, BFClBr, BF\(_2\)Br and BFBr\(_2\) is:

The major product formed in the reaction of (2R,3R)-2-bromo-3-methylpentane with NaOMe is:

The metal borides that contain isolated boron atoms are:

The characters of \( E, C_2, \sigma_v, \) and \( \sigma' \) symmetry operations, in this order, for valid irreducible representation(s) of the \( C_2v \) point group is/are:

The \(\Delta_o\) of [Cr(H\(_2\)O)\(_6\)]\(^3+\), [CrF\(_6\)]\(^3-\), and [Cr(CN)\(_6\)]\(^3-\) follows the order:

The equilibrium constant for the reaction \[ 3 \, \text{NO} (g) \rightleftharpoons \text{N}_2\text{O} (g) + \text{NO}_2 (g) \] at 25°C is closest to: \[ [\Delta G^\circ = -104.18 \, \text{kJ}; R = 8.314 \, \text{J mol}^{-1} \text{K}^{-1}] \]

Reaction of LiAlH\(_4\) with one equivalent of Me\(_3\)N·HCl gives a tetrahedral compound, which reacts with another equivalent of Me\(_3\)N·HCl to give compound N. The compound N and its geometry, respectively, are: