Question

I am stuck!

Please tell me the right option and also the explaination
I promise to rate you as Brainliest

Answer 1

Heya !!!

Here's the answer !!

The information given is :

▶A bacteria undergoes binary fission for every minute.

▶ This bacteria can fill up a cup in 1 hour....

Your question is how much time does it take to fill half the cup.... Right?

So u might think it's 30 minutes...

But it's absolutely wrong....

✔✔It takes 59 Minutes to fill half the cup ✔✔

Here's the explanation :

♦♦It divides every minute right....

♦♦It means it doubles in every minute...

▶▶ For every minute : 1 ➡2➡4➡8➡16➡32 ...

This is what happens every minute...

✔✔In one hour it fills the entire cup...

✔✔It means it just doubled in the previous minute...

✔✔So your answer is EXACTLY 59 MINUTES ✔✔

Hope this helps you :)

#BeBrainly

Answer 2

$<b><i>Hey mate$

✨ Here's ur answer

My answer is intutive, I am not doing it rigorously, think about it, bacteria becomes twice of it's population every minute, and it took them 60 min to fill a cup.

Consider now bacteria had filled half a cup, now to fill full cup bacteria needs 1 min only (as they become twice every min so 1/2cupbacteria×2=1cupbacteria) thereforee,

time taken by bacteria to fill half cup= time taken by bacteria to fill full cup – 1=60–1=59minutes

✨ Another way......

No. of cells intially in the cup =1

After 1 min no. of cells will be 2×1=2¹

After 2 min =2×2=2²

After 3 min =2×2×2=2³

So, after 60 min no. of cells will be 2^60

Quantity of whole cup =2^60 cells

Quantity of half a cup =2^60/2=2^59

Thus, time taken to fill half of the cup =59min

I hope this helps:)

$\huge \red {Thanks!!!}$