# GATE2015-63

Samples of bacterial culture taken at $5$ PM and then the next day at $5$ AM were found to have $10^4$ and $10^7$ cells.mL${-1}$, respectively. Assuming that both the samples were taken during the log phase of cell growth, the generation time of this bacterium will be ________$h$.
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## Related questions

1
A single subunit enzyme converts $420$ $\mu$moles of substrate to product in one minute. The activity of the enzyme is ________ $\times 10^{-6}$ Kalal.
2
The determinant of the matrix $\begin{bmatrix} 3 & 0 & 0 \\ 2 & 5 & 0 \\ 6 & -8 & -4 \end{bmatrix}$ is __________
An isolated population on an island has the following genotypic frequencies: $\begin{array}{|c|c|c|c|} \hline \textrm{Genotype} & AA & Aa & aa \\ \hline \textrm{Frequency} & 0.3 & 0.4 & 0.3 \\ \hline \end{array}$ Assuming that there are only two alleles ($A$ and $a$) for the gene, the genotypic frequency of $AA$ in the next generation will be __________
Oxygen transfer was measured in a stirred tank bioreactor using dynamic method. The dissolved oxygen tension was found to be $80 \%$ air saturation under steady state conditions. The measured oxygen tensions at $7$ s and $17$ s were $55\%$ and $68\%$ air saturation, respectively. The volumetric mass transfer coefficient $K_{La}$ is __________ $s^{-1}$
Plasmid DNA $(0.5 \: \mu g)$ containing an ampicillin resistance marker was added to $200 \: \mu l$ of competent cells. The transformed competent cells were diluted $10,000$ times, out of which, $50 \: \mu l$ was plated on agar plates containing ampicillin. A total of $35$ colonies were obtained. The transformation efficiency is _______$\times 10^6 \: \text{ cfu} \cdot \mu g^{-1}$