List of practice Questions

Consider a piston–cylinder assembly as shown. The cylinder contains 1 mole of an ideal gas at 300 K, initially held at position $z_1$. After the stopper is removed, the piston rises suddenly against atmospheric pressure ($1.013\times10^{5}$ Pa) to a new position $z_2$. The cylinder walls are insulated. The heat capacity at constant volume $(C_V)$ is 12.5 J mol\textsuperscript{-1 K\textsuperscript{-1}. The cross-sectional area of the cylinder is $10^{-3}$ m\textsuperscript{2}. Assume the piston is weightless and frictionless. If $z_2 - z_1 = 1$ m, the final temperature of the gas (rounded to nearest integer) is _________ K.}

Which of the following statements are CORRECT for an enzyme entrapped in a spherical particle?

Which of the following is(are) COMMON feature(s) for both aerobic and anaerobic bacterial cultures?

Which of the following plot(s) is(are) CORRECT for an enzyme obeying Michaelis–Menten kinetics, assuming that [S] $\ll K_m$?

Which statement(s) is(are) CORRECT about the lac operon of \textit{E. coli when grown in the presence of glucose and lactose?}

Emerging viruses such as SARS-CoV2 cause epidemics. Which of the following process(es) contribute to the rise of such viruses?

Introduction of foreign genes into plant cells can be carried out using

Which of the following are CORRECT about protein structure?
P. Secondary structure is formed by a repeating pattern of interactions among the polypeptide backbone atoms
Q. Tertiary structure is the three-dimensional arrangement of the polypeptide backbone atoms only
R. Quaternary structure refers to an assembly of multiple polypeptide subunits

The enzymes involved in ubiquitinylation of cell-cycle proteins are

The maximum parsimony method is used to construct a phylogenetic tree for a set of sequences. Which one of the following statements about the method is CORRECT?

Which of the following spectroscopic technique(s) can be used to identify all the functional groups of an antibiotic contaminant in food?
P. Infrared
Q. Circular dichroism
R. Nuclear magnetic resonance
S. UV-Visible

Adenine can undergo a spontaneous change to hypoxanthine in a cell, leading to a DNA base pair mismatch. The CORRECT combination of enzymes involved in repairing this damage is:

Consider the ordinary differential equation $\dfrac{dy}{dx} = f(x,y) = 2x^2 - y^2$.
If $y(1)=1$, find $y(1.5)$ using Euler’s implicit method:
$y_{n+1} = y_n + h f(x_{n+1}, y_{n+1})$ with step size $h = 0.5$.

Which of the following conditions will contribute to the stability of a gene pool in a natural population?
P. Large population
Q. No net mutation
R. Non-random mating
S. No selection

Match the media component used in mammalian cell culture (Column I) with its respective role (Column II).

Match the cell type (Column I) with its function (Column II).

A \( 2 \times 2 \) matrix \( P \) has an eigenvalue \( \lambda_1 = 2 \) with eigenvector \( x_1 = \begin{pmatrix} 1 \\ 0 \end{pmatrix} \) and another eigenvalue \( \lambda_2 = 5 \), with eigenvector \( x_2 = \begin{pmatrix} 1 \\ 1 \end{pmatrix} \). The matrix \( P \) is

Match the stationary phase (Column I) with its corresponding chromatography technique (Column II).

Which of the following statements are CORRECT for a controller?

Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific restriction enzymes. Which of the following techniques is used to identify such variations?

Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of 12 is _________.

A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is 0.5 g biomass / g substrate. The initial concentrations of biomass and substrate are 2 g L\(^{-1}\) and 200 g L\(^{-1}\), respectively. Assuming that there is no endogenous metabolism, the maximum biomass concentration that can be achieved is _________ g L\(^{-1}\).

The maximum value of the function \( f(x) = 3x^2 - 2x^3 \) for \( x>0 \) is _________ .

Which of the following is NOT used for generating an optimal alignment of two nucleotide sequences?

The recognition sequences of four Type-II restriction enzymes (RE) are given below. The symbol (|) indicates the cleavage site. Identify the RE that generates sticky ends.