List of top Questions asked in Indian Institute Of Technology Joint Admission Test for MSc- 2023

Arrange the following elements in increasing order of their electronegativity according to the Pauling scale
C, Na, Be and Br

An electron is accelerated from rest through a potential difference of 200 V. The de Broglie wavelength associated with this electron is _____ nm. (Rounded off to 2 decimal places) (Planck’s constant = $6.6 × 10^{-34} J s, 1eV=1.6 × 10^{-19} J$, mass of an electron = $9.1×10^{-31} kg$)

Among $i-BuNH_2, NH_3, Me_2NH, EtNH_2,$ the number of compound(s) more basic than $MeNH_2$ is/are ______.

The heat required to convert 2 kg of water at 20 °C in a calorimeter to steam at 100 °C and at atmospheric pressure (1 atm) is _____ kJ. (Specific heat capacity of water is $4.2 kJ kg^{-1} K^{-1}$ and latent heat of steam is $2256 kJ kg^{-1}$)

A restriction endonuclease has a recognition site of 3 bases. Assuming random arrangement of nucleotides, the probability that this endonuclease will cut a piece of DNA is __________ (rounded off to three decimal places).

A massless ideal spring is hanging vertically. A sphere of mass of 500 g, suspended from the spring, stretches the spring from its initial position by 50 cm when it reaches equilibrium. The force constant of the spring is _________ $N m^{-1}$. ($Use g=10 m s^{-2}$)

In mice, a trait is determined by a dominant allele Y and recessive allele y. What proportion of the offspring from a YY × yy cross is expected to be homozygous recessive in F1 generation?

Consider a first order reaction 𝐴 → 𝐵. The initial concentration of 𝐴 is $100 mol L^{-1}$ and the value of first order rate constant is 0.01 $min^{-1}$. The concentration of 𝐴 after 10 min of reaction is ____ $ mol L^{-1}$ (rounded off to one decimal place).

Different segments of a photosynthetic filamentous alga are exposed to different wavelengths of light as shown below. After a period of time, bacteria known to migrate towards high oxygen concentration, is spread on the surface of the alga. Which region(s) of the alga will have maximum bacterial congregation?

Among $K^+, Li^+, Rb^+, Cs^+$, the number of cation(s) having ionic radii more than $Na^+$ is/are _____.

Given the following sets:
𝐴 = {2, 4, 6, 8, 10, 12}
𝐵 = {8, 10, 12, 14, 16, 18}
𝐶 = {7, 8, 9, 10 11, 12, 13}
(𝐴 ∩ 𝐵) ∪ (𝐵 ∩ 𝐶) is

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r].
Assertion [a]: The cardiovascular organization called double circulation provides vigorous flow of blood to the brain, muscles, and other organs.
Reason [r]: The blood is pumped a second time after it loses pressure in the capillary beds of the lungs or skin.

If a bacterial culture with a doubling time of 30 minutes starts with two cells, then the number of cells after 4 hours are _______.

Given data consists of distinct values of $𝑥_𝑖$ occurring with frequencies $𝑓_𝑖.$ The mean value for the data is _____. (rounded off to one decimal place)

$X_i$	5	6	8	10
$F_i$	8	10	10	12

A protein solution of 1 µM has transmission of 40 % at 280 nm, when measured in a 1 cm cuvette using a UV-Visible spectrophotometer. The transmission of the same solution, when measured using a 2 cm cuvette is ______ %. (rounded off to the nearest integer)

Hyperventilation (breathing rapidly and deeply) causes which of the following event(s) in the arterial blood?

Among the five fragments given below, <br> the number of fragment(s) accelerated to the analyzer tube in mass spectrometer with electron ionization is/are _________.

A growing shoot of a germinating seedling encounters an underground obstacle. Which one of the following hormones elicits ‘triple response’ to the underground obstacle?

A random variable X and its probability distribution is given below. The value of P(X<5) is _______. (rounded off to one decimal place)

X	0	1	2	3	4	5
P(X)	0	K	2K	3K	4K	5K

In the ‘Southern blot’ technique, which of the following reagents is used to detect the presence of a desired DNA fragment?

$K_m$ and $V_{max}$ of an enzyme preparation are 5 µM and 30 $µM min^{-1}$ respectively. Considering, $K_i$ value of competitive inhibitor is 60 µM, the velocity ($V_0$) of this enzyme-catalyzed reaction in the presence of 200 µM of substrate and 600 µM of competitive inhibitor is _______ $ µM min^{-1}$ (rounded off to two decimal places).

Match the microorganisms in Group I with the human disease in Group II

Group I	Group II
P) Treponema pallidum	1) Sleeping sickness
Q) Trypanosoma cruzi	2) Whooping cough
R) Trypanosoma gambiense	3) Chagas disease
S) Bordetella pertussis	4) Syphilis

Class II MHC molecules are NOT expressed by

Match the molecules in Group I with the type of bonds present in them, in Group II

Group I	Group II
P) NaCl	1) Coordination bond
Q) $H_2$	2) Polar covalent bond
R) $Pd-P$ bond in $Pd(PPh_3)_4	3) Covalent bond
S) $C-Cl$ bond in $CH_3Cl $	4) Ionic bond

A genetic linkage map represents the