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 ?

A

`(2 log 2)/(log(110))`

B

`(2log 2)/(log.(11)/(10))`

C

`(log 2)/(log((11)/(10)))`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Exercise - I|50 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

The population of a village increases continuously at the rate proportional to the number of its inhabitants present at any time. If the population of the village was 0,000 in 1999 and 25000 in the year 2004, what will be the population of the village in 2009 ?

How many six digited numbers that can be formed with 1, 2, 3, 4 if all the digits are to appear in the same number atleast once.

5 pumps are required to fill a tank in 1 1/2 hours. How many pumps of the same type are used to fill the tank in half an hour.

In a laboratory the count of bacteria in a certain, experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

Ravi works as a cashier in a bank. He has currency of denominations ₹100, ₹50, ₹10 respectively. The ratio of number of these notes is 2:3:5. The total cash with, Ravi is ₹4,00,000. How many notes of cash of each denomination does he have?

AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
  1. Asserton (A) : The solution of (dy)/(dx) = (x+y)/(x) is e^(y//x) = cx ...

    Text Solution

    |

  2. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

    Text Solution

    |

  3. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

    Text Solution

    |

  4. The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = ...

    Text Solution

    |

  5. The differential equation of co-axial system of circles x^(2) + y^(2) ...

    Text Solution

    |

  6. The trajectories orthogonal to x^(2)+y^(2) = 2ax is

    Text Solution

    |

  7. The volume of spherical ballon being inflated changes at a constant ra...

    Text Solution

    |

  8. In a bank, principal increases continuously at the rate of r% per yeat...

    Text Solution

    |

  9. In a bank, principal increases continuously at the rate of 5% per yea...

    Text Solution

    |

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

    Text Solution

    |

  11. The population of a village increases continuously at the rate proport...

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx) = (y)/(x) + (Phi...

    Text Solution

    |

  13. If y = y (x) is the solution of the differential equation ((2 + sin x)...

    Text Solution

    |

  14. (dy)/(dx) +2x tan(x-y) = 1 rArr sin(x-y) =

    Text Solution

    |

  15. Integrating factor of the differential equation (1-x^(2)) (dy)/(dx) + ...

    Text Solution

    |

  16. The differential equation (dy)/(dx) = (1)/(ax + by + c) where a,b,c a...

    Text Solution

    |

  17. The solution of (dy)/(dx) + (1)/(x) = (e^(y))/(x^(2)) is

    Text Solution

    |

  18. The differential equation corresponding to the family of circles given...

    Text Solution

    |

  19. The solution of cos^(2) x (dy)/(dx) + y = tan x is

    Text Solution

    |

  20. The differential equation of the simple harmonic motion given by x = A...

    Text Solution

    |