A bacterial population reproduces by binary fission. What will be the number of bacteria in its population after six generations?

64

In binary fission, a single protozoan divides into two identical daughter cells. Each daughter cell can then undergo binary fission again, resulting in exponential growth. To determine the number of protozoans after six generations, we can use the formula:

Number of protozoans = Initial number of protozoans \( ×2^{(number \,of \, generations)}\)

Assuming we start with 1 protozoan:

Number of protozoans = \(1 × 2^{6}\)

Number of protozoans = 1 × 64

Number of protozoans = 64

Therefore, after six generations, the number of protozoans in the population will be 64.

The correct option is (c) 64.