Home
Class 12
MATHS
In a culture, the bacteria count is 1,00...

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

Verified by Experts

The correct Answer is:
`(2log2)/(log((11)/(10)))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.5|17 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.6|19 Videos

  • DIFFERENTIAL EQUATIONS

    NCERT BANGLISH|Exercise EXERCISE - 9.3|12 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

  • INTEGRALS

    NCERT BANGLISH|Exercise EXERCISE 7.12|44 Videos

Similar Questions

Explore conceptually related problems

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.

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 value of a plot of land increase by 3% every year. If the value of the plot is 45,00,000. Now, find the price after 2 years.

In how many years will Rs 10,000 in compound interest at the rate of 10% per annum gets Rs 3,310 as compound interest.

How many numbers less than 20,000 can be made from 1,2,3,4,5,6,7,0?

Starting with a bacterium that divides once in half hour how many bacteria are formed after 24 hours of growth ?

How many integers between 1 and 10,00,000 have the sum of the digits equal to 18

A and B are two separate reservoirs of water. Capacity of reservoir A is double the capacity of reservoir Bdot Both the reservoirs are filled completely with water, their inlets are closed and then the water is released simultaneously from both the reservoirs. The rate of flow of water out of each reservoir at any instant of time is proportional to the quantity of water in the reservoir at the time. One hour after the water is released, the quantity of water is reservoir A is 1 1/2 times the quantity of water in reservoir Bdot After how many hours do both the reservoirs have the same quantity of water?

In a certain culture of bacteria, the rate of increase of its number is equal to half of the number present at that moment. When the number of bacteria will be double of its initial number? (Given log_(e)2=0.693 )

NCERT BANGLISH-DIFFERENTIAL EQUATIONS-EXERCISE - 9.4
  1. sec^(2)x tan y dx + sec^(2) y tan x dy = 0

    Text Solution

    |

  2. (e^(x) + e^(-x))dy - (e^(x) - e^(-x)) dx = 0

    Text Solution

    |

  3. (dy)/(dx) = (1 + x^(2))(1 + y^(2))

    Text Solution

    |

  4. y log y dx - x dy = 0

    Text Solution

    |

  5. x^(5)(dy)/(dx) = - y^(5)

    Text Solution

    |

  6. For each of the differential equation find the general solution (dy)/(...

    Text Solution

    |

  7. e^(x) tan y dx + (1 - e^(x))sec^(2)y dy = 0

    Text Solution

    |

  8. For each of the differential equations in Exercises 11 to 14, find a p...

    Text Solution

    |

  9. x(x^(2) - 1)(dy)/(dx) = 1, y = 0 when x = 2.

    Text Solution

    |

  10. cos ((dy)/(dx)) = a (a ne R), y = 1 when x = 0

    Text Solution

    |

  11. (dy)/(dx) = y tan x, y = 1 when x = 0

    Text Solution

    |

  12. Find the equation of a curve passing through the point (0,0) and whose...

    Text Solution

    |

  13. For the differential equation xy(dy)/(dx) = (x + 2)( y + 2), find the ...

    Text Solution

    |

  14. Find the equation of a curve passing through the point (0, -2) given t...

    Text Solution

    |

  15. At any point (x,y) of a curve, the slope of the tangent is twice the s...

    Text Solution

    |

  16. The volume of spherical balloon being inflated changes at a constant r...

    Text Solution

    |

  17. In a bank, principal increases continuously at the rate of r% per year...

    Text Solution

    |

  18. In a bank, principal increases continuously at the rate of 5% per year...

    Text Solution

    |

  19. In a culture, the bacteria count is 1,00,000. The number is increased...

    Text Solution

    |

  20. The general solution of the differential equation (dy)/(dx) = e^(x + y...

    Text Solution

    |