List of top Questions asked in GATE CY

The calculated magnetic moment of [Ce(NO₃)₅]^2- is ........... BM (rounded off to two decimal places).
(Given: atomic number of Ce is 58)

The choice(s) that correctly identify radioisotopes (P, Q, R, S) shown in the following nuclear reaction is(are):
\[ ^{60}_{28}\text{Ni} + \alpha \;\; \longrightarrow \;\; P \; (\text{unstable}) \] \[ P \;\longrightarrow\; n + Q, \qquad P \;\longrightarrow\; 2n + R, \qquad P \;\longrightarrow\; p + n + S \]

Product(s) formed in the given reaction is(are):

The acetolysis product(s) of the given reaction (solvolysis of the benzylic tosylate in AcOH) is(are)

For the Lindemann–Hinshelwood mechanism of gas phase unimolecular reactions, the true statement(s) is(are)

Point group of naphthalene (C₁₀H₈) is

The organometallic catalyst for the following transformation is (intramolecular olefin closure giving a cyclohexene and ethylene, i.e., ring-closing metathesis):

The magnitudes of CFSE in \([\mathrm{M}(\mathrm{H}_2\mathrm{O})_6]^{n+}\) for Mn and Fe ions satisfy the relations

For an ideal gas, the molecular partition function in the canonical ensemble, that is proportional to the system volume (V), is the

Assertion (S): The total angular momentum for light atoms (low atomic number) is obtained by Russell–Saunders coupling, whereas \(jj\)-coupling is used for heavy atoms (high atomic number).
Reasoning (R): The spin–orbit interactions are weak in light atoms (low atomic number) and strong in heavy atoms (high atomic number).
The correct option is

The INCORRECT statement is

The major product formed in the following reaction is \(\; \mathrm{nBu_3SnH,\ AIBN,\ C_6H_6,\ heat}\)

Compound \(\mathbf{P}\) was prepared based on a four-component reaction at room temperature in methanol. The required starting materials for the synthesis are (structure of \(\mathbf{P}\) shown).

The topicity relationship of \(H_a\) and \(H_b\) in X, Y and Z (as drawn in the figure) are, respectively,

On irradiation using UV light (\(>300\) nm), compounds X and Y predominantly undergo which photochemical pathway? (Structures as shown in the figure)

The major product formed when the \(\,o\)-(\(\mathrm{Me_3Si}\))-aryl triflate (a Kobayashi benzyne precursor) is treated with Ph–substituted cyclohexene in the presence of \(\mathrm{CsF}\) in \(\mathrm{CH_3CN}\) at r.t. is (A)–(D) as shown in the figure.