List of practice Questions

Using the letters in the word TRICK a new word containing five distinct letters is formed such that T appears in the middle. The number of distinct arrangements is .............

In a mass spectrometer, a deuteron with kinetic energy 17 MeV enters a uniform magnetic field of 2.4 T with its velocity perpendicular to the field. The deuteron moves in a circular path. The radius of its path (correct to two decimal places) is ......... cm. [mass of deuteron = $3.34 \times 10^{-27}$ kg, 1 MeV = $1.6 \times 10^{-13}$ J, e = $1.6 \times 10^{-19}$ C]

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.

In acidic solution, permanganate ion is reduced by ferrous ion. The number of electrons involved in the reduction of permanganate ion is ............

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 $K_M$ 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 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 [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 positive root of the equation $x^4 + x^2 - 2 = 0$ is ...........

$\displaystyle \int_{0}^{1} x\,dx + \int_{1}^{2} (2-x)\,dx = ...........$

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.

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 .............

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 .............

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?

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 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)

Which of the following organs are correctly paired with their function?

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

Bacterial plasmid genes of non-chromosomal origin are associated with