Home
Class 12
PHYSICS
The relationship between decay constant ...

The relationship between decay constant `lamda` and half-life T of a radioactive substance is

A

`lamda=(log_(10)2)/(T)`

B

`lamda=(log_(e)2)/(T)`

C

`lamda=(log_(2)10)/(T)`

D

`lamda=(log_(2)e)/(T)`

Text Solution

Verified by Experts

The correct Answer is:
B

The relation between decay constant `lamda` and half-life T can be given as
`T=(0.693)/(lamda)`
`:.T=(log_(e))/(lamda)`
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    DC PANDEY ENGLISH|Exercise MATCH THE COLUMNS|4 Videos
  • MODERN PHYSICS - 2

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|10 Videos
  • RAY OPTICS

    DC PANDEY ENGLISH|Exercise Medical entrance gallary|76 Videos

Similar Questions

Explore conceptually related problems

Define half-life of a radioactive substance.

Using the equation N = N_(0)e^(-lambdat) , obtain the relation between half-life (T) and decay constant (lambda) of a radioactive substance.

Obtain the relation N=N_(0)e^(-lamdat) for a sample of radio active material having decay constant lamda where N is the number of nuclei present at instant t. Hence, obtain the relation between decay constant lamda and half life T_(1//2) of the sample.

A radiaocatice isotope is being produced at a constant rate X . Half-life of the radioactive substance is Y . After some time, the number of radioactive nuceli become constant. The value of this constant is .

Assertion Two different radioactive substances have initially same number of nuclei. Their decay constants are lamda_(1)and lamda_(2)(ltlamda_(1)). Then, initially first radioactiv substance decays at faster rate. Reason Half-life of first radioactive substance is less.

The correct relation between t_(av) =average life and t_(1//2)= half life for a radioactive nuclei.

The decay constant related to half - life period is …………. .

The decay constant of a radioactive substance is 0.173 year^(-1) . Therefore,

Obtain a relation between half life of a radioactive substance and decay constant (lamda) .

The half-life (T) and the disintegration constant (lamda) of a radioactive substance are related as

DC PANDEY ENGLISH-NUCLEI-C MADICAL ENTRANCES GALLERY
  1. What is the energy released by fassion of 1 g of U^(235)? (Assume 200 ...

    Text Solution

    |

  2. The half-life of radium is 1620 yr and its atomic weight is 226 kg per...

    Text Solution

    |

  3. The relationship between decay constant lamda and half-life T of a rad...

    Text Solution

    |

  4. The binding energy per nucleon of .(3)^(7) Li and .(2)^(4)He nuclei ar...

    Text Solution

    |

  5. For the stabilty of any nucleus,

    Text Solution

    |

  6. A uranium nucleus (atomic number 92, mass number 231) emits an alpha-p...

    Text Solution

    |

  7. A radio isotope X with a half life 1.4xx10^(9) yr decays of Y which is...

    Text Solution

    |

  8. After 300 days, the activity of a radioactive sample is 5000 dps (disi...

    Text Solution

    |

  9. For the radioactive nuclei that undergo either alpha or beta decay, wh...

    Text Solution

    |

  10. In the given reaction .z X^A rarr .(z+1)Y^A rarr .(z-1) K^(A - 4) ra...

    Text Solution

    |

  11. Control rods of calcium or boron are inserted into the nuclear reactor...

    Text Solution

    |

  12. The fusion reaction in the sun is a multi-sept process in which the

    Text Solution

    |

  13. The nuclear fusion reaction between deuterium and tritium takes place

    Text Solution

    |

  14. The half-life of a radioactive isotope X is 20 yr. It decays to anothe...

    Text Solution

    |

  15. A certain mass of hydrogen is changed to helium by the process of fusi...

    Text Solution

    |

  16. A U^(235) reactor generated power at a rate of P producting 2xx10^(18)...

    Text Solution

    |

  17. The purpose of using heavy water in nuclear reactior is

    Text Solution

    |

  18. The ratio of volume of nuclei (assumed ot be in spherical shape) with ...

    Text Solution

    |

  19. Radioactivity of a sample at T(1) time is R(1) and at time T(2) is R(2...

    Text Solution

    |

  20. Which pair is isotonic?

    Text Solution

    |