Home
Class 12
PHYSICS
The activity of a radioactive sample is ...

The activity of a radioactive sample is measured as `N_0` counts per minute at t=0 and `N_0//e` counts per minutes at t=5 minutes. The time (in minutes ) at which the activety reduces to half its value is :

A

`(log_e 2//5`

B

`5/(log_e2)`

C

`5log_(10)2`

D

`5 log_e 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    SARAS PUBLICATION|Exercise EXAMPLE|42 Videos

Similar Questions

Explore conceptually related problems

The activity of a radioactive sample falls from 600 s^(-1) to 500 s^(-1) in 40 minutes. Calculate its half-life.

A radioactive sample at any instant has its disintegration rate 5000 disintegrations per minute. After 5 minutes, the rate becomes 1250 disintegration per minute. Then its decay constant (per minute) is

A certain sample of a radioactive marerial decays at the rate of 500 per second at a cartain time .the count rate falls to 200 per second after 50 minutes .(a) What is decay constant of the sample? (b) what is its half-life?

A radioactive sample has 6.0 xx 10^18 active nuclei at a certain instant. How many of these nuclei will still be in the same active state after two half-lives?

The half-life of a radioactive substance is 20 minutes. The time taken between 50% decay and 87.5% decay of the substance will be

Counting rate from a radioactive source is 8000 cts per sec. at time t = 0 and after 10 minutes decay is 1000 cts/sce. Calculate (i) half life period, (ii) decay constant and (iii) counting rate after 20 minutes.

A radioactive isotope has a half-life of T years. How long will it take the activity o reduce to 3.125% its original value?

SARAS PUBLICATION-ATOMS AND NUCLEI-EXAMPLE
  1. The ionization energy of the electron in the hydrogen atom in its grou...

    Text Solution

    |

  2. Sodium has body centered packing . Distance between two nearest atoms ...

    Text Solution

    |

  3. The activity of a radioactive sample is measured as N0 counts per minu...

    Text Solution

    |

  4. An alpha nucleus of energy 1/2mv^(2) bombards a heavy nuclear target o...

    Text Solution

    |

  5. A radioactive nucleus of mass M emits a photon of frequency nu and the...

    Text Solution

    |

  6. The half life of a radioactive isotopes X is 50 years . It decays to a...

    Text Solution

    |

  7. In photoelectric effect, electrons are ejected from metals, if the inc...

    Text Solution

    |

  8. A nucleus "n^mX emits one alpha-particles and two beta-particles. The...

    Text Solution

    |

  9. If the nuclear radius of ""^(27)Al is 3.6 fermi, the approximate nucle...

    Text Solution

    |

  10. A mixture consists of two radioactive materials A1 and A2 with half li...

    Text Solution

    |

  11. An electron of a stationary hydrogen atom passes from the fifth energy...

    Text Solution

    |

  12. The half life of a radioactive isotopes 'X' is 20 years . It decays to...

    Text Solution

    |

  13. In a n-type semiconductor , which of the following statement is true?

    Text Solution

    |

  14. alpha- particle , beta - particle and gammarays are all having same en...

    Text Solution

    |

  15. How does the Binding Energy per nucleon vary with the increase in the...

    Text Solution

    |

  16. Hydrogen atom in ground state is excited by a monochromatic radiation ...

    Text Solution

    |

  17. The binding energy per nucleon of"3^7Li and "2^4Henuclei are 5.60 MeV ...

    Text Solution

    |

  18. A radio isotopesX with a half life 1.4xx10^9 years decays of Y which i...

    Text Solution

    |

  19. A nucleus of uranium decays at rest into nuclei of thorium and helium ...

    Text Solution

    |

  20. Water rises to height 'h' on capillary tube . If the length of capilla...

    Text Solution

    |