List of top Questions asked in IIT JAM CY

Consider an isothermal reversible compression of one mole of an ideal gas in which the pressure of the system is increased from 5 atm to 30 atm at 300 K. The entropy change of the surroundings (in J K$^{-1}$) is ______ (final answer rounded to two decimals).
The standard reduction potentials of Ce$^{4+}$/Ce$^{3+}$ and Fe$^{3+}$/Fe$^{2+}$ are 1.44 and 0.77 V, respectively. The log$_{10}K$ (K is equilibrium constant) value for the following reaction is ............. (final answer should be rounded off to two decimal places)
\[ \text{Ce}^{4+} + \text{Fe}^{2+} \rightleftharpoons \text{Ce}^{3+} + \text{Fe}^{3+} \]
A radioactive element undergoes 80% radioactive decay in 300 min. The half-life for this species in minutes is ............
Silver crystallizes in a face-centered cubic lattice. The lattice parameter of silver (in picometer) is .............
The amount of bromine (atomic wt. = 80) required (in gram) for the estimation of 42.3 g of phenol (molecular wt. = 94 g mol$^{-1}$) is .............
In 200 g of water, 0.01 mole of NaCl and 0.02 mole of sucrose are dissolved. Assuming solution to be ideal, the depression in freezing point of water (in $^\circ$C) will be ______ (final answer rounded off to two decimal places).
The adsorption of a gas follows the Langmuir isotherm with $K = 1.25$ kPa$^{-1}$ at 25 $^\circ$C. The pressure (in Pa) at which the surface coverage is 0.2 is ______
The separation of 123 planes (in nm) in an orthorhombic cell with $a = 0.25$ nm, $b = 0.5$ nm, $c = 0.75$ nm is ______ (round to two decimals).
The number of unpaired electron(s) in K$_2$NiF$_6$ is ...........
The maximum number of dipeptides that could be obtained by reaction of phenylalanine with leucine is .............
At an operating frequency of 350 MHz, the shift (in Hz) of resonance from TMS of a proton with chemical shift of 2 ppm is ...............
For a cell reaction, Pb(s) + Hg$_2$Cl$_2$(s) → PbCl$_2$(s) + 2Hg(l), $\left( \frac{\partial E^\circ}{\partial T} \right)_P$ is 1.45 × 10$^{-4}$ V K$^{-1}$. The entropy change (in J mol$^{-1}$ K$^{-1}$) for the reaction is ..........
IR active molecule(s) is/are
Intensive variable(s) is/are
Wave nature of electromagnetic radiation is observed in
The number of isomeric structures of di-substituted borazine (B$_3$N$_3$H$_4$X$_2$) is ..........
The number of S–S bond(s) in tetrathionate ion is ..........
The “heme” containing protein(s) is/are
Among the following, the species having see-saw shape is/are
The indicator(s) appropriate for the determination of end point in the titration of a weak acid with a strong base is/are
Jahn-Teller distortion is observed in octahedral complexes with d-electron configuration of
Among the following, the correct statement(s) is/are
The INCORRECT statement(s) among the following is/are
$\dfrac{dy}{dx} = -\dfrac{y}{x}$ is a differential equation for a/an
Ionisation energy of hydrogen atom in ground state is 13.6 eV. The energy released (in eV) for third member of Balmer series is