List of top Questions asked in IIT JAM BT

In 2 N H\(_2\)SO\(_4\), an organic compound shows fluorescence with quantum yield $\phi_f = 0.42$ and fluorescence rate constant $k_f = 5.25 \times 10^{7}\ \text{s}^{-1}$. The observed fluorescence lifetime (correct to 1 decimal place) is ............ ns.
The standard oxidation potentials for oxidation of NADH and H\(_2\)O are +0.315 V and –0.815 V, respectively. The standard free energy for oxidation of 1 mole of NADH by oxygen under standard conditions (correct to 1 decimal place) is ........ kJ. [Faraday Constant is 96500 C mol\(^{-1}\)]
The relationship between $\log_{10}(MW)$ and the retention factor $R_f$ is $\log_{10}(MW) = -2R_f + 3$. If the measured $R_f$ for a protein with 180 amino acids is 0.5, then the number of identical monomers in the protein is .............
The $K_M$ and $v_{\max}$ of an enzyme are 4 mM and 0.1 nM h\(^{-1}\) respectively. In the presence of 1.5 mM inhibitor, the $K'_M$ and $v'_{\max}$ become 6 mM and 0.1 nM h\(^{-1}\). The inhibition constant $K_i$ (correct to 1 decimal place) is ............ mM.
The positive root of the equation $x^4 + x^2 - 2 = 0$ is ...........
$\displaystyle \int_{0}^{1} x\,dx + \int_{1}^{2} (2-x)\,dx = ...........$
Two sources P and Q produce electromagnetic waves of wavelengths $\lambda$ and $2\lambda$, respectively. Source P ejects a photon with maximum kinetic energy 4.0 eV from a metal with work function 2.0 eV. The maximum kinetic energy (eV) of a photon ejected by source Q from the same metal is .............
One gram of radioactive nuclei with a half-life of 300 days is kept in an open container. The weight of nuclei remaining after 900 days (correct to 1 decimal place) is .............. mg.
The [H\(^+\)] of 0.1 N acetic acid solution is $1.33 \times 10^{-3}$. The pH of the solution (correct to two decimal places) is ..........
The population of a bacterial culture increases from one thousand to one billion in five hours. The doubling time of the culture (correct to 1 decimal place) is ............ min.
A linear DNA contains five restriction sites for EcoRI and three restriction sites for BamHI. The number of fragments that will be generated after digestion with EcoRI is .............
Antigen and antibody interaction is shown by the following scheme
\[ \text{Ab} + \text{Ag} \; \xrightleftharpoons[k_{-1}]{k_{1}} \; \text{Ab-Ag} \] Where Ab is antibody, Ag is antigen and Ab–Ag is antigen–antibody complex. The values of $k_{1}$ and $k_{-1}$ are $5 \times 10^{5}\ \mu\mathrm{M}^{-1}\mathrm{s}^{-1}$ and $2 \times 10^{-2}\ \mathrm{s}^{-1}$ respectively. The dissociation constant for the complex is .............. nM.
The electric field and capacitance of a capacitor in the absence of dielectric material are $E$ and $C$, respectively. When the capacitor is filled with a dielectric material, the electric field and capacitance become $E'$ and $C'$, respectively. Which of the following is(are) correct?
The elements with atomic numbers 19, 37 and 55
Fehling’s solution
Which of the following point(s) lies(lie) on the plane $2x + 3y + z = 6$?
Kinetic theory of an ideal gas is based upon the following assumption(s)
The $\Delta G^\circ$ for homolactic fermentation converting glucose to lactate is –196 kJ mol$^{-1}$. If $\Delta G^\circ$ for the formation of ATP is +30.5 kJ mol$^{-1}$, then
Which of the following organs are correctly paired with their function?
Bacterial plasmid genes of non-chromosomal origin are associated with
The cells involved in allergic reactions and containing surface receptors of IgE antibodies and histamine are
Two inductors P and Q having inductance ratio 1:2 are connected in parallel in an electric circuit. The energy stored in the inductors P and Q are in the ratio
Which of the following is(are) INCORRECT in the regulation of the trp operon?
A body X of mass $M$ moving with velocity $v$ hits a stationary body Y of mass $m$. If $M \gg m$ and X moves with velocity $v'$ after the collision, then the velocity of Y after an elastic collision is
If one of the diameters of a circle has end points $(2,0)$ and $(4,0)$, then the equation of that circle is