List of top Questions asked in Indian Institute Of Technology Joint Admission Test for MSc- 2022

steady current of 1.25 A is passed through an electrochemical cell for 1.5 h using a 12 V battery. The total charge, Q, drawn during this process is __________ Coulombs. (round off to the nearest integer)

The Maxwell-Boltzmann distribution $f(v_x)$ of one-dimensional velocities $v_x$ at temperature T is [Given: A is a normalization constant such that $ \int_{-\infty}^{\infty} f(v_x) dv_x = 1$, and $k_B$ is the Boltzmann constant]

Among the following, the suitable route(s) for the conversion of benzaldehyde to acetophenone is/are

The number of signals observed in the $^1H NMR$ spectrum of the compound

is _________.

The reaction of 122 g of benzaldehyde with 108 g of phenylhydrazine gave 157 g of the product

The yield of the product is _________%. (round off to the nearest integer)

The number of stereoisomers possible for the major product formed in the reaction

is ________.

The common point defect(s) in a solid is/are

The order of increasing CO stretching frequencies in $[Co(CO)_4]^-, [Cu(CO)_4]^+, [Fe(CO)_4]^{2-} and [Ni(CO_4)]$ is

Zinc containing enzyme(s) is/are

The phase diagram of water is best represented by

The conversion of $ICl$ to $ICl^+$ involve(s)

The reactivity of the enol derivatives

towards benzaldehyde follows the order

The stability of adducts $H_3B.PF_3, H_3B.NMc_3, H_3B.CO, H_3B.OMe_2$ follows the order

Capillary W contains water and capillary M contains mercury. The contact angles between the capillary wall and the edge of the meniscus at the air-liquid interface in $W$ and $M$ are $\theta_W$ and $\theta_M$, respectively. The contact angles satisfy the conditions

Among the following, the reaction(s) that favor(s) the formation of the products at 25 °C is/are

The number of $\beta$ particles emitted in the nuclear reaction $^{238}U_{92} → ^{206}Pb_{82}$ is _______.

The pH of an aqueous buffer prepared using CH3COOH and CH3COO Na⁺ is 4.80.
The quantity \(\frac{[CH_3COO^-]-[CH_3COOH]}{[CH_3COOH]}\) is _____. (round off to three decimal places)
[Given: pK_a of CH₃COOH in water is 4.75]

At constant temperature, 6.40 g of a substance dissolved in 78 g of benzene decreases the vapor pressure of benzene from 0.125 atm to 0.119 atm. The molar mass of the substance is ____g mol^-1. (round off to one decimal place)
[Given: Mol. wt. of benzene = 78 g mol^-1]

At constant volume, 1.0 kJ of heat is transferred to 2 moles of an ideal gas at 1 atm and 298 K. The final temperature of the ideal gas is ____K. (round off to one decimal place)
[Given: R = 8.314 J K^-1 mol^-1]

Total degeneracy (number of microstates) for a Ti³⁺ ion in spherical symmetry is ____.

A galvanic electrochemical cell made of Zn²⁺/Zn and Cu²⁺/Cu half-cells produces 1.10 V at 25°C. The ratio of |Zn²⁺| to |Cu²⁺| is maintained at 1.0. The ΔG° for the reaction when 1.0 mol of Zn gets dissolved is____kJ. (round off to the nearest integer)
[Given: Faraday's constant = 96485 C mol^-1]

The specific rotation of optically pure (R)-1-phenylethylamine is +40 (neat, 20 °C). A synthetic sample of the same compound is shown to contain 4:1 mixture of (S)- and (R)-enantiomers. The specific rotation of the neat sample at 20 °C is ____________. (round off to the nearest integer)

Two close lying bands in a UV spectrum occur at 274 nm and 269 nm. The magnitude of the energy gap between the two bands is ____cm^-1. (round off to the nearest integer)

Iron is extracted from its ore via the reaction
$Fe_2O_3, + 3 CO→ 2 Fe + 3CO_2$
The volume of CO (at STP) required to produce 1 kg of iron is ________liters. (round off to the nearest integer)
[Given: Atomic wt. of Fe = 56; assume STP to be 0 °C and 1 atm]

Among the following, the biomolecule with a direct metal-carbon bond is