List of top Questions asked in IIT JAM BT

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).
$K_m$ 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).
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 $2256 kJ kg^{-1}$)
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 = $9.1×10^{-31} kg$)
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$56810
$F_i$8101012
A deck of ten cards is given to you as shown below in the figure. One card is drawn at random from this deck. The probability of selecting a number less than 9 is__ (to one decimal place).
A deck of ten cards
The average of all positive even integers less than or equal to 40 is___.
The smallest positive (non-zero) integer "n" for which the expression \((\frac{1+i}{1-i})^n\) = 1 holds true, is ___.
Given that A=\( (sin\theta cos\theta tan\theta + sin\theta cos\theta cot\theta)\), the value of A is
An object is placed at the principal focus of a concave lens of focal length 10 cm. The image will be formed at___ cm, between the optical center and the focus of the lens on the same side of the object.
What is the maximum number of hydrogen bonds that a water molecule can make in the liquid state?
How many pairs of autosomal chromosomes are there in normal humans?
Calculate the temperature (in K) at which the resistance of a metal becomes 20% more than its resistance at 300 K. The value of the temperature coefficient of resistance for this metal is \(2.0 \times  10^{-4}\)/K.
In the 1'H NMR spectrum of ethanol at 400 MHz, the methyl group splits into ___number of peaks.
A man throws a ball vertically up in the air with an initial velocity v1 such that it reaches a height of 12 m with a speed of 12 m/s. If he throws the same ball vertically up with an initial velocity v such that it reaches a maximum height of 12 m. Calculate v1/v2 (up to 2 decimal places).
In a denaturing polyacrylamide gel electrophoresis experiment, pure intact adult human hemoglobin will yield (number) bands.
What is the acceleration due to gravity (m/s²) on the surface of a planet if its radius is 1/4th that of earth and its mass is 1/80th that of earth" Assume that the gravity on the surface of the earth is 10 m/s².
In a randomly mating population, the frequency of 'A' allele is 0.7. What is the frequency of An" genotype in the next generation according to Hardy- Weinberg's law? (up to two decimal places)
The potential difference to accelerate an electron was quadrupled. By what factor does the de Broglie wavelength of the electron beam change?
A 500 nm light is used for imaging in a confocal microscope. What will be the best resolution (in nm) of this microscope?
Assuming the molecule shown below is aromatic, the value of "s" according to "Hückel's rule" is
an aromatic molecule
In an actively growing population from a single bacterium, 1,048,576 cells are present after 20th generation. How many cells were there in 5th generation?
A double stranded DNA molecule of total 5000 base pairs long, has a melting temperature of 85 °C. What will be the % AT base pairs in this sample? (up to one decimal place).
How many GTP molecules are required for the translocation of tRNA from P site to E site during translation elongation process in bacteria?
Amongst the molecules given below, the total number of molecules that have at least one sp² hybridized atom is___.
\(C_6H_6, NO_2, BF_3, H_2O_2,SO_2,C_2H_2, L\) -Tryptophan