The GATE Grind

GATE 2026 ES – Question 53

Environmental Microbiology · Growth and Control of Microorganisms · 2 marks · Numerical answer

A batch culture starts with 2 cells. Its first hour is a lag phase without multiplication; subsequently the cells grow exponentially with a one-hour doubling time. How many cells are present after 8 hours? Enter an integer.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 256 to 256

Explanation

The total time includes the lag. Active exponential growth therefore lasts $8-1=7$ hours, which is seven doublings. Cell number is $N=N_0 2^{t/t_d}=2(2^7)=\mathbf{256}$. Counting eight doublings would incorrectly include the nonmultiplying lag period.

More Growth and Control of Microorganisms questions

All Growth and Control of Microorganisms questions →