Home
Class 12
MATHS
It given that the rate at which some bac...

It given that the rate at which some bacteria multiply is proportional to the instantaneous number presents. If the original number of bacteria doubles in two hours, in how many hours will it be five times?

Text Solution

Verified by Experts

The correct Answer is:
`2 (log 5)/(log 2)` hours.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Textbook:)|16 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise Objective Type Questions (A. Multiple Choice Questions) ( Questions from NCERT Exemplar:)|5 Videos

  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE 9 (i) Long Answer Type Questions (II)|7 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos

Similar Questions

Explore conceptually related problems

It given that the rate at which some bacteria multiply is proportional to the instantaneous number presents.If the original number of bacteria doubles in two hours,in how many hours will it be five xx?

Bacteria increases at the rate proportional to the number of bacteria present. If the original number N doubles in 3 hours, find in how many hours the number of bacteria will by 4N ?

Suppose the growth of a population is proportional to the number present.If the population of a colony doubles in 25 days; in how many days will the population become triple.

The rate of increase in the number of bacteria in a certain bacteria culture is proportional to the number present. Given the number triples in 5 hrs., find how many bacteria will be present after 10 hours. Also find the time necessary for the number of bacteria to be 10 times the number of initial present. [Given log_e3=1. 0986 , e^(2. 1972)=9 ]

The rate of increases of bacteria in a certain culture is proportional to the number present. If it doubles in 5 hr.then in 25 hr.its number would be

In a certain culture of bacteria, the rate of increase is proportional to the number present. If it is found that the number doubles in 4 hours, find the number of times the bacteria are increased in 12 hours.

The rate of increase of the bacteria in a culture is proportional to the number of bacteria present and it is found that the number doubles in 6hours.Prove that the bacteria becomes xx at the end of 18 hours.

In a certain culture the number of bacteria at any instant increases at a rate proportional to the cube root of the number present at that instant. If the number becomes 8 times in 3 hours, when will the number be 64 times?