Question

The bacterial community reproduces by dividing into two in each second. If the number of bacteria is ‘N’ at any given time. And if each bacteria reproduces by dividing into two in each second, then represent the population of bacteria for 10 seconds in exponential form.​

Answer 1

Answer:

nutrition and portions

Answer 2

The population of bacteria after 10 seconds is N X 2¹⁰

• Bacteria divide by the method of binary fission in which a single bacterium divides to form two daughter bacteria.
• Thus if initially there was a single bacteria, the next generations will have 2, 4, 8, 16, and so on members.
• Due to this, the number of bacteria in a given population increases exponentially.
• If N is the initial number of bacteria in a colony,

       Then the number of bacteria after 1 division = 2 X N

        After 2 divisions = 2 X 2 X N = 2² X N

      After y number of divisions= $2^y X N$

• Since in the question the bacteria divide once in one second, so it divides 10 times in 10 seconds.

Thus, the total bacteria will be 2¹⁰ X N