# DBT JRF 2020 — Question 9

Exam: DBT JRF 2020 · Section: A · Topic: Microbiology · Difficulty: Medium

## Question

What will be the generation time of a culture with a specific growth rate constant of $0.01 \, \text{min}^{-1}$ ?

## Options

- **A.** 6.93 min
- **B.** 1.155 h
- **C.** 11.55 h
- **D.** 0.693 min

## Answer

Option B

## Explanation

Generation time $g$ is related to specific growth rate constant $\mu$ by: $g = \dfrac{\ln 2}{\mu} = \dfrac{0.693}{\mu}$ . Given $\mu = 0.01 \text{ min}^{-1}$ : $g = \dfrac{0.693}{0.01} = 69.3 \text{ min} = 1.155 \text{ h}$ . The specific growth rate $\mu$ represents the increase in biomass per unit biomass per unit time. A lower $\mu$ means slower growth and a longer generation (doubling) time.

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