Question

A bacterium having doubling time of 10 minutes, fills a cylindrical vessel completely in 3 hours. How much
time will it take to fill half of the vessel?
a. 80 minutes
b. 90 minutes
c. 150 minutes
d. 170 minutes​

Answer 1

Option “b” is correct...
As It replicates in in 10 min and it fills 1 C.Vessel in 3 hours that means 180 minutes .(here it will replicates itself 18 times as 180/10)

So for half cylinders to be filled is half the time that is 180/2 =90 minutes (here it will be replicating 9 times because 90/10=9.)

Answer 2

Answer:170 minutes

Explanation:n=n⁰×2^t/d

t=3 hours

=180 min

d=10 min

According to formula

n=n⁰×2¹⁸⁰/¹⁰

n=n⁰×2¹⁸ ( it is for full vessel)

For half vessel

n⁰×2¹⁸/2

n⁰×2¹⁸/2= n⁰×2^t1/10 ( where t1 is the time we need) let the half time=t1

= 2¹⁷=2^t1/10(n⁰ is cancelled from both sides)

= 17= t1/10

=t1=170