Home
Class 12
MATHS
The rate of increase in the number of ba...

The rate of increase in the number of bacteria in a certain bacteria culture is proportional to the number present. Given that the number triples in 5 hours, find how many bacteria will be present after 10 hours ?

Text Solution

Verified by Experts

The correct Answer is:
Hence, the amount of bacteria will be present after 10 hours is 9 times the intial amount.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 10.9|23 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise GOVERNMENT EXAM QUESTIONS(Choose the Correct or the most suitable answer from the given four alternatives :)|2 Videos
  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise EXERCISE 10.7|1 Videos
  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - IV|26 Videos
  • PROBABILITY DISTRIBUTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS - 5 MARKS|4 Videos

Similar Questions

Explore conceptually related problems

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2^("nd") hour, 4^("th") hour and n^("th") hour ?

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2^(nd) hour, 4^(th) hour and n^(th) hour?

Knowledge Check

  • Number of basal rings in gram positive bacteria______.

    A
    2
    B
    4
    C
    6
    D
    8
  • Similar Questions

    Explore conceptually related problems

    The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally , how many bacteria will be present at the end of 2^(nd) hour , 4^(th) hour and n^(th) hour ?

    The number of bacteria in a certain calture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of 2^(nd) hour, 4^(th) hour and n^(th) hour?

    Thenumberofbacteriainacertainculturedoubleseveryhour.Iftherewere30bacteriapresentin the culture originally, how many bacteria will be present at the end of 2nd hour, 4th hour and nth hour?

    The growth of a population is proportional to the number present. If the population of a colony doubles in 50 years, in how many years will the population become triple?

    The growth of a population is proportional to the number present. If the population of a colony doubles in 50 years, in how many years will the population become triple?

    The growth of a population is proportional to the number present if the population of a colony doubles in 50 years in how many years will the population become triple

    A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 kg of the material present and after two hours it is observed that the material has lost 10% of its original mass, find () and expression for the mass of the material remaining at any time t, (ii) the mass of the material after four hours and (iii) the time at which the material has decayed to one half of its initial mass.