Home
Class 11
MATHS
The number of bacteria in a certain cult...

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 2nd hour, 4th hour and nth hour?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|200 Videos
  • GRAPHS OF TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|22 Videos

Similar Questions

Explore conceptually related problems

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 ]

A bacterium divides in every 20 minutes. How many bacteria will be formed within three hours?

The population of a bacteria culture doubles in number every 12 minutes. The ratio of the number of bacteria at the end of 1 hour to the number of bacteria at the beginning of that hour is

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 6 hours. Prove that the bacteria becomes 8 times at the end of 18 hours.

A population of bacteria doubles every 2 hours . What is the percent increase after 4 hours ?

A population of bacteria doubles every 2 hours. What is the percent increase after 4 hours ?

It was observed in an experiment that the number of bacteria doubles evey hour. It was found that the number of bacteria twelve hours from the start of observation was 40960. After how many hours from the start of the experiment would the number of bacteria has been one-fourth the final number of bacteria?

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

How many bacteria are produced in four hours if a bacterium divides once in half an hour ?

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?

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If the p t h ,\ q t h\ a n d\ r t h terms of a G.P. are a ,\ b ,\ c re...

    Text Solution

    |

  2. Find four numbers forming a geometric progression in which the third ...

    Text Solution

    |

  3. The number of bacteria in a certain culture doubles every hour. If ...

    Text Solution

    |

  4. What will Rs. 500 amounts to in 10 years after its deposit in a bank w...

    Text Solution

    |

  5. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  6. If the first and the nth terms of a G.P., are a and b respectively, a...

    Text Solution

    |

  7. Show that the products of the corresponding terms of the sequences a ,...

    Text Solution

    |

  8. If p^(t h),\ q^(t h),\ r^(t h)a n d\ s^(t h) terms of an A.P. are in G...

    Text Solution

    |

  9. Show that each of one of the following progression is a G.P. Also, fin...

    Text Solution

    |

  10. Show that each of one of the following progression is a G.P. Also, fin...

    Text Solution

    |

  11. Show that each of one of the following progression is a G.P. Also, ...

    Text Solution

    |

  12. Show that each of one of the following progression is a G.P. Also, ...

    Text Solution

    |

  13. Show that the sequence defined by an=2/(3^n),\ n in N\ is a G.P.

    Text Solution

    |

  14. Find: the ninth term of the G.P. 1,4,16,64,………

    Text Solution

    |

  15. Find: the 10th term of the G.P. -3/4,1/2,-1/3,2/9, ....

    Text Solution

    |

  16. Find: the 8th term of the G.P. 0. 3 , 0.06 , 0.012 ,

    Text Solution

    |

  17. Find: the 12th term of the G.P. 1/(a^3x^3),\ a x ,\ a^5x^5,\ dot

    Text Solution

    |

  18. Find: n th term of the G.P. sqrt(3),1/(sqrt(3)),1/(3sqrt(3)),

    Text Solution

    |

  19. Find: the 10th term of the G.P. sqrt(2),1/(sqrt(2)),1/(2sqrt(2)),

    Text Solution

    |

  20. Find the 4th term from the end of the G.P. 2/(27),2/9,2/3, ,, , , ,...

    Text Solution

    |