Home
Class 12
PHYSICS
Radioactive element decays to form a sta...

Radioactive element decays to form a stable nuclide, then the rate of decay of reactant `((d N)/(d t))` will vary with time `(t)` as shown in figure.

A

.

B

.

C

.

D

.

Text Solution

Verified by Experts

The correct Answer is:
C

( c) `N = N_0 e^(-lamda t) rArr (dN)/(dt) = -N_0 lamda e^(-lamda t)`
i.e., Rate of decay `((dN)/(dt))` varies exponentially with time(t).
Promotional Banner

Topper's Solved these Questions

  • NUCLEAR PHYSICS

    A2Z|Exercise Problems Based On Mixed Concepts|58 Videos
  • NUCLEAR PHYSICS

    A2Z|Exercise Section B - Assertion Reasoning|13 Videos
  • NUCLEAR PHYSICS

    A2Z|Exercise Radioactivity|42 Videos
  • MOCK TEST

    A2Z|Exercise Mock Test 3|44 Videos
  • SEMICONDUCTOR ELECTRONICS

    A2Z|Exercise EXERCISE|29 Videos

Similar Questions

Explore conceptually related problems

The rate of decay of radioactive element

The radioactive nucleus of an element X decays to a stable nucleus of element Y.A graph of the rate of romation of Y against time would look like:

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X . The number N_(X) of nuclei of X at time t=T_(1//2) is .

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X. The number N_(Y) of nuclei of Y at time t is .

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X . The number N_(Y) of nuclei of Y at t=T_(1//2) is.

20% radioactive sample decay in time t. How much sample decay in time 2t ?

A radioactive element A decays with a decay constant lambda . The fraction of nuclei that decayed at any time t , if the initial nucle are N_(0) is given by:

A radioactive element X with half life 2 h decays giving a stable element Y. After a time t, ratio of X and Y atoms is 1:16 .Time t is

A2Z-NUCLEAR PHYSICS-Radioactive Disintegration
  1. Ceratain radioactive substance reduces to 25% of its value is 16 days....

    Text Solution

    |

  2. The half-life of a radioactive substance against alpha-decay is 1.2 xx...

    Text Solution

    |

  3. 10 gm of radioactive material of half-life 15 year is kept in store fo...

    Text Solution

    |

  4. In a sample of radioactive material, what percentage of the initial nu...

    Text Solution

    |

  5. A radioactive material has an initial amount 16 gm After 120 days it r...

    Text Solution

    |

  6. Half-life of a substance is 10 years. In what time, it becomes (1)/(4)...

    Text Solution

    |

  7. If N(0) is the original mass of the substance of half - life period t(...

    Text Solution

    |

  8. The ratio activity of an element becomes 1//64 th of its original valu...

    Text Solution

    |

  9. The half-life of a radioactive substance is 48 hours. How much time wi...

    Text Solution

    |

  10. A radioactive substance has an average life of 5 hours. In a time of 5...

    Text Solution

    |

  11. A sample of a radioactive element has a mass of 10 g at an instant t=0...

    Text Solution

    |

  12. The half-life of a sample of a radioactive substance is 1 hour. If 8 x...

    Text Solution

    |

  13. A count rate meter shows a count of 240 per minute from a given radioa...

    Text Solution

    |

  14. Activity of radioactive element decreased to one third of original act...

    Text Solution

    |

  15. The half-life a radioacitve substance is 40 yeard. How long will it ta...

    Text Solution

    |

  16. A nucleus of mass 218 amu in Free State decays to emit an alpha-partic...

    Text Solution

    |

  17. Radioactive element decays to form a stable nuclide, then the rate of ...

    Text Solution

    |

  18. A radioactive sample has N0 active at t = 0 . If the rate of disintegr...

    Text Solution

    |

  19. The count rate of 10 g of radioactive material was measured at differe...

    Text Solution

    |

  20. The fraction f of radioactive material that has decayed in time t, var...

    Text Solution

    |