List of top Questions asked in IIT JAM CY

The volume correction factor for a non-ideal gas in terms of critical pressure ($p_c$), critical molar volume ($V_c$), critical temperature ($T_c$), and gas constant ($R$) is

The CORRECT statement regarding the molecules BF$_3$ and CH$_4$ is

Reaction of BCl$_3$ with NH$_4$Cl at 140 °C produces compound P. Further, P reacts with NaBH$_4$ to give a colorless liquid Q. The reaction of Q with H$_2$O at 100 °C produces compound R and a diatomic gas S. Among the following, the CORRECT statement is

The complex that does NOT obey the 18-electron rule is (Given: Atomic numbers of Ti, Mn, Ta and Ir are 22, 25, 73 and 77, respectively)

Hybridization of the central atoms in I$_3^-$, ClF$_3$ and SF$_4$, respectively, are

The decreasing order of C=C bond length in the following complexes is \[ \text{I: [Cl$_3$Pt(CH$_2$=CH$_2$)]}^- \quad \text{II: [Cl$_3$Pt(C(CN)$_2$=C(CN)$_2$)]}^- \quad \text{III: [Cl$_3$Pt(CF$_2$=CH$_2$)]}^- \quad \text{IV: [Cl$_3$Pt(CF$_2$=CF$_2$)]}^- \]

Two sets of quantum numbers with the same number of radial nodes are

The correct sequence of reactions for the synthesis of the following molecule is(are)

The function $ x^4 e^{-2x^2/3} $ (for $ x > 0 $) has a maximum at a value of $ x $ equal to ...........
(Round off to two decimal places)

The longest wavelength of light absorbed by a hydrogen-like atom is 2.48 nm. The nuclear charge (Z) of the atom is ........
(Round off to nearest integer) (Rydberg constant $ R_{\infty} = 109700 \, \text{cm}^{-1} $)

Fullerene (C₆₀) crystallizes in an FCC unit cell (edge length = 14.14 Å) with one C₆₀ centered at each lattice point. The smallest distance (in Å) between the centers of two C₆₀ molecules is ..........
(Round off to two decimal places)

A film of stearic acid partially covers the water surface in a container. The work needed to decrease this coverage by 1 cm² is 25.0 × 10⁻⁷ J. The surface tension (in N/m) of the film is .......
(Round off to three decimal places)
(Surface tension of pure water is 0.072 N/m)

The value of 'n' in $[ \text{P(O}_3\text{)}_4 ]^{6-}$ is ............

The total number of all possible isomers of $ [\text{Co}( \text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2)_2 ]^{2+} $ and $ [\text{Co}( \text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2)_3 ]^{3+} $ together is ............

The number of lone pairs present in phosphonic acid (phosphorus acid) is .........

The heat of formation of MgO at 300 K and 1 bar pressure is -600.60 kJ mol$^{-1}$. The free energy (in kJ mol$^{-1}$) of formation of MgO at 280 K is ......... (Round off to nearest integer)

Sea water containing 1 M NaCl has to be desalinated at 300 K using a membrane permeable only to water. The minimum pressure (in bars) required on the sea-water side of the membrane is ......... (Round off to one decimal place)

A bacterial colony grows via cell division where each mother bacterium independently produces two daughter cells in 20 minutes. If the concentration of bacteria is $ 10^4 \, \text{cm}^{-3} $, the colony becomes harmful. Starting from a colony with an initial concentration of 5 cm$^{-3}$, the time taken (in minutes) for the colony to become harmful is ......... (Round off to nearest integer)