Home
Class 12
MATHS
In a culture, the bacteria count is 1...

In a culture, the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000, if the rate of growth of bacteria is proportional to the number present?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY

    RD SHARMA ENGLISH|Exercise All Questions|135 Videos
  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

Similar Questions

Explore conceptually related problems

In a culture the bacteria count is 100000. The number is increased by 10% in 2 hours. In how many hours will the count reach 200000, if the rate of growth of bacteria is proportional to the number present.

If the population of country double in 50 years, in how many years will it triple under the assumption that the rate of increase is proportional to the number of inhabitants.

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 ]

An initial number of bacteria presented in a culture is 10000. This number doubles every 30 minutes. How long will it take to bacteria to reach the number 100000 ?

The present population of a town is 2,00,000. Its population increase by 10% in the first year and 15% in the second year. Find the population of the town at the end of the two years.

In how many years will Rs 2,000 amount to Rs. 2,662 at 10 percent C.I ?

The population of a city increased by 10% in the previous year. If the present population is 1,32,000, what was the population of the city a year ago?

In how many years will Rs 2,000 amount to Rs. 2,662 at 10 percent p.a C.I ?

A scientist studies Bacteria Culture A, which grows then percent every hour. Bacteria Culture A initially contained 200 microbes, and she models the growth using the equation n=200(m)^(h) , where n is the number of microbes and h is the number of hours. Q. The same scientist also studies another culture, Bacteria Culture B, which grows 15% every hour. The two cultures began at the same time with the same number of microbes. After 20 hours, how many more microbes will becteria Culture B contain than Bacteria Culture A ? (Round your answer to the nearest whole number).

The bacteria in a culture grows by 10% in the first hour, decreases by 10% in the second hour and again increases by 10% in the third hour. If the original count of the bacteria in a sample is 10000, find the bacteria count at the end of 3 hours.

RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equations: xcos^2y \ dx=ycos^2x \ dy

    Text Solution

    |

  2. Experiments show that the rate of inversion of cane sugar in dilute so...

    Text Solution

    |

  3. In a culture, the bacteria count is 1,00,000. The number is increas...

    Text Solution

    |

  4. A bank pays interest by continuous compounding, that is ,by treatin...

    Text Solution

    |

  5. Experiments show that radius disintegrates at a rate proportional to t...

    Text Solution

    |

  6. The equation of the curve passing through the point (1,pi/4) and havin...

    Text Solution

    |

  7. Find the equation to the curve satisfying x(x+1)(dy)/(dx)-y=x(x+1) and...

    Text Solution

    |

  8. The curve is such that the length of the perpendicular from the ori...

    Text Solution

    |

  9. The normal to a given curve at each point (x ,y) on the curve passes t...

    Text Solution

    |

  10. Radium decomposes at a rate proportional to the quantity of radium ...

    Text Solution

    |

  11. Find the equation of a curve passing through the point (0, 1). If t...

    Text Solution

    |

  12. Form the differential equation corresponding to y^2=m(a^2-x^2) by eli...

    Text Solution

    |

  13. Form the differential equation not containing the arbitrary constan...

    Text Solution

    |

  14. if (log)a x=b for permissible values of a and x then identify the stat...

    Text Solution

    |

  15. Form the differential equation corresponding to y^2=a(b-x)(b+x) by eli...

    Text Solution

    |

  16. In each of the following differential equations indicate its degree,...

    Text Solution

    |

  17. Form the differential equation of the family of curves represented ...

    Text Solution

    |

  18. Determine the order and degree of each of the following differentia...

    Text Solution

    |

  19. Show that the differential equation that represents the family of al...

    Text Solution

    |

  20. Find the differential equation of All non-vertical lines in a plane.

    Text Solution

    |