Home
Class 12
PHYSICS
A rodiactive nucleus is being produced a...

A rodiactive nucleus is being produced at a constant rate `alpha` per second Its decay constant is `lambda` If `N_(0)` are the number of nuclie at tieme t=O then, maximum number of nuclei possible are

A

`(alpha)/(lamda)`

B

`N_(0)+(alpha)/(lamda)`

C

`N_(0)`

D

`(alpha)/(lamda)+N_(0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Maximum number of unclei will be present when rate of decay= rate of formation
`lamdaN=alpha`
Maximum number of nuclei, `N = alpha//lamda`
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    DC PANDEY ENGLISH|Exercise B Medical entrance special format questions|9 Videos

  • NUCLEI

    DC PANDEY ENGLISH|Exercise MATCH THE COLUMNS|4 Videos

  • NUCLEI

    DC PANDEY ENGLISH|Exercise CHECK POINT 13.3|15 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

A radioacitve nucleus is being produced at a constant rate alpha per second. Its decay constant is lambda . If N_(0) are the number of nuclei at time t=0 , then maximum number of nuceli possible are .

Nuclei of a radioactive element A are being produced at a constant rate alpha . The element has a decay constant lambda . At time t=0 , there are N_0 nuclei of the element. (a) Calculate the number N of nuclei of A at time t. (b) If alpha=2N_0lambda , calculate the number of nuclei of A after one half-life of A, and also the limiting value of N as trarroo .

A radioactive substance (A) is produced at a constant rate which decays with a decay constant lambda to form stable substance (B).If production of A starts at t=0 . Find (i)The number of nuclei of A and (ii)Number of nuclei of B at any time t.

A radioactive nuclide is produced at the constant rate of n per second (say, by bombarding a target with neutrons). The expected number N of nuclei in existence t s after the number is N_(0) is given by

A factory produces a radioactive substance A at a constant rate R which decays with a decay constant lambda to form a stable substance. Find (a) the number of nuclei of A and (b) number of nuclei of B, at any time t assuming the production of A starts at t=0 . (c ) Also, find out the maximum number of nuclei of A present at any time during its formation.

Nuclei of radioactive element A are produced at rate t^(2) (where t is time) at any time t . The element A has decay constant lambda . Let N be the number of nuclei of element A at any time t . At time t=t_(0), dN//dt is minimum. The number of nuclei of element A at time t=t_(0) is

A radioactive isotope is being produced at a constant rate dN//dt=R in an experiment. The isotope has a half-life t_(1//2) .Show that after a time t gtgt t_(1//2) ,the number of active nuclei will become constant. Find the value of this constant.

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 .

A radio nuclide X is produced at constant rate alpha . At time t=0 , number of nuclei of X are zero. Find (a) the maximum number of nuclei of X. the number of nuclei at time t. Decay constant of X is lambda .

DC PANDEY ENGLISH-NUCLEI-CHAPTER EXERCISES
  1. They decay constant of radioactive element is 1.5xx10^(-9)s^(-1) Its m...

    Text Solution

    |

  2. The mean lives of a radioactive substance are 1620 years and 405 years...

    Text Solution

    |

  3. A rodiactive nucleus is being produced at a constant rate alpha per se...

    Text Solution

    |

  4. After three half lives, the percentage of fraction of amount a).35 b)1...

    Text Solution

    |

  5. The radioactivity due to C-14 isotope (half-life = 6000 years) of a sa...

    Text Solution

    |

  6. Nucleus A decays into B with a decay constant lamda(1) and B further d...

    Text Solution

    |

  7. Two identical samples (same material and same amout) P and Q of a radi...

    Text Solution

    |

  8. An energy of 24.6 eV is required to remove one of that electrons from ...

    Text Solution

    |

  9. The activity of a sample of radioactive material is A1 at time t1 an...

    Text Solution

    |

  10. A heavy nucleus at rest breaks into two fragments which fly off with v...

    Text Solution

    |

  11. A radioactive material decays by simultaneous emission of two particle...

    Text Solution

    |

  12. Nuceli A and B convert into a stable nucleus C. Nucleus A is converted...

    Text Solution

    |

  13. The half - life of a radioactive substance is 50 days. The substance w...

    Text Solution

    |

  14. Starting with a sample of pure .^66 Cu, 7//8 of it decays into Zn in 1...

    Text Solution

    |

  15. A stationary radioactive nucleus of mass 210 units disintegrates into ...

    Text Solution

    |

  16. A bone containing 200 g carbon-14 has beta-decay rate of 375 decay/min...

    Text Solution

    |

  17. If 200 MeV energy is released in the fission of a single U^(235) nucle...

    Text Solution

    |

  18. The activity of a radioactive sample is measures as N0 counts per minu...

    Text Solution

    |

  19. In the nuclear fusion reaction (1)^(2)H + (1)^(3)H rarr (2)^(4)He + ...

    Text Solution

    |

  20. The half-life of the radioactive radon is 3.8 days. The time, at the e...

    Text Solution

    |