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

The activity of a sample of radioactive material `A_(1)` at time `t_(1)` and `A_(2)` at time `t_(2)(t_(2)gtt_(1))`. Its mean life is `T`.

A

`A_(1)t_(1)=A_(2)t_(2)`

B

`(A_(1)-A_(2))/(t_(2)-t_(1))="constant"`

C

`A_(2)=A_(1)e^((t_(1)-t_(2)//T))`

D

`A_(2)=A_(1)e^((t_(2)//Tt_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • MODERN PHYSICS

    D MUKHERJEE|Exercise type -2|24 Videos
  • MISCELLANEOUS QUESTION 4

    D MUKHERJEE|Exercise Missellaneous Qns-4 (Matrix Matching Type)|9 Videos
  • MOTION OF CHARGED PARTICLES

    D MUKHERJEE|Exercise All Questions|48 Videos

Similar Questions

Explore conceptually related problems

The activity of a sample of radioactive material is R_(1) at time t_(1)andR_(2)"at time"t_(2)(t_(2)gtt_(1)) . Its mean life is T. Then,

The activity of a sample of a radioactive meterial is A_1 , at time t_1 , and A_2 at time t_2(t_2 gt t_1) . If its mean life T, then

The activity of a sample of radioactive material is A_1 at time t_(1) and A_(2) at time t_(2)(t_(2) le t_(1)) . Obtain an expression for its mean life.

The activity of a radioactive substance is R_(1) at time t_(1) and R_(2) at time t_(2)(gt t_(1)) . Its decay cosntant is lambda . Then .

Activity of a radioactive substance is R_(1) at time t_(1) and R_(2) at time t_(2) (t_(2) gt t_(1)) then the ratio (R_(2))/( R_(1)) is :

The rate of decay of a radioactive sampel is given by R_(1) at time t_(1) and R_(2) at a later time. t_(2) . The mean life of this radioactive sample is:

The rate of decay of a radioactive species is given by R_(1) at time t_(1) and R_(2) at later time t_(2) . The mean life of this radioactive species is:

The radioactivity of a sample is R_(1) at a time T_(1) and R_(2) at time T_(2) . If the half-life of the specimen is T, the number of atoms that have disintegrated in the time (T_(2) -T_(1)) is proporational to

D MUKHERJEE-MODERN PHYSICS-type -2
  1. The activity of a sample of radioactive material A(1) at time t(1) and...

    Text Solution

    |

  2. When a nucleus with atomic number Z and mass number A undergoes a radi...

    Text Solution

    |

  3. When the nucleus o fan eletrically neutral atom undergoes a radioactiv...

    Text Solution

    |

  4. Which of the following assertions are correct? (i) A neutron can dec...

    Text Solution

    |

  5. Two identical nuclei A and B of the same radioactive element undergo b...

    Text Solution

    |

  6. A and B are isotopes. B and C are isobars. All three are radioactive. ...

    Text Solution

    |

  7. A nuclide A undergoes alpha-decay and another nuclides B undergoes bet...

    Text Solution

    |

  8. The decay constant of a radioactive sample is lamda. Its half -life is...

    Text Solution

    |

  9. The count rate from 100cm^(3) of a radioactive liquid is c. Some of th...

    Text Solution

    |

  10. In Bohr model of the hydrogen atom, let R,v and E represent the radiu...

    Text Solution

    |

  11. Let v(1) be the frequency of series limit of Lyman series, v(2) the fr...

    Text Solution

    |

  12. In an e^(-) transition inside a hydrogen atom, orbital angular momentu...

    Text Solution

    |

  13. If a hydrogen atom emit a photon of energy 12.1 eV , its orbital angul...

    Text Solution

    |

  14. An electron with kinetic energy =E eV collides with a hydrogen atom in...

    Text Solution

    |

  15. In an excited state of hydrogen like atom an electron has total energy...

    Text Solution

    |

  16. Let the potential energy of the hydrogen atom in the ground state be z...

    Text Solution

    |

  17. When a hydrogen atom emits a photon in going from n=5 to n=1, its reco...

    Text Solution

    |

  18. The electron in a hydrogen atom makes a transition n(1) rarr n(2), whe...

    Text Solution

    |

  19. A beam of ultraviolet light of all wavelength passes through hydrogen ...

    Text Solution

    |

  20. Whenever a hydrogen atom emits a photon in the Balmer series

    Text Solution

    |

  21. Which of the following pairs constitute very similar rediations? (i)...

    Text Solution

    |