A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :
Choose the correct answer:
A) 3 10 /2  B) (3)10 - (2)10  C) 243 *(35 -1)  D) (3)10 -(2)5  E) None of these
Solution: Total number of bacteria after 10 seconds,   = (3)10 - (3)5   = (3)5 *(3)(5 -1)   = 243 *(3)(5 -1)   Since, just after 10 seconds all the bacterias (i.e. 35 ) are dead after living 5 seconds each.   Answer: Option 243 *(35 -1)
<result>C</result>
A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :