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

No. of nuclide at time t is given by
`N = N_(o) e^(- lambda t)`
Where `N_(o)` = initial nuclide thus this equation is equivalent to `y = ae^(-kx)` thus correct graph is
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    DISHA PUBLICATION|Exercise EXERCISE - 1 CONCEPT BUILDER|65 Videos
  • MOVING CHARGES AND MAGNETISM

    DISHA PUBLICATION|Exercise EXERCISE - 2 : Concept Applicator|25 Videos
  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|28 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

DISHA PUBLICATION-NUCLEI-EXERCISE - 2 (CONCEPT APPLICATOR)
  1. The inteisity of gamma radiation from a given source is I(0) . ...

    Text Solution

    |

  2. A freshly prepared radioactive source of half-life 2 h emits radiation...

    Text Solution

    |

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

    Text Solution

    |

  4. Radium ""^(226) Ra , spontaneously decays to radon with the emission o...

    Text Solution

    |

  5. A gamma ray photon creates an electron-positron pair. If the rest mass...

    Text Solution

    |

  6. Half-life of a radioactive substance is 20 minutes. Difference between...

    Text Solution

    |

  7. A radioactive nucleus undergoes alpha-emission to form a stable elemen...

    Text Solution

    |

  8. The fossil bone has a .^(14)C : .^(12)C ratio, which is [(1)/(16)] of ...

    Text Solution

    |

  9. A radioactive nucleus undergoes a series of decay according to the s...

    Text Solution

    |

  10. A star initially has 10^(40) deuterons. It produces energy via the pr...

    Text Solution

    |

  11. The rest mass of a deuteron is equivalent to an energy of 1876 MeV, th...

    Text Solution

    |

  12. The compound unstable nucleus ""(92) ^(236) U oftendecays in accordanc...

    Text Solution

    |

  13. What is the power output of a .(92) U^(235) reactor if it is takes 30 ...

    Text Solution

    |

  14. In the options given below, let E denote the rest mass energy of a nuc...

    Text Solution

    |

  15. The radioactivity of a sample is R(1) at a time T(1) and R(2) at time ...

    Text Solution

    |

  16. The mass of a .(3)^(7) Li nucleus is 0.042 u less than the sum of the ...

    Text Solution

    |

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

    Text Solution

    |

  18. A radioactive nucleus (initial mass number A and atomic number Z) emit...

    Text Solution

    |

  19. The half-life of a radioactive isotope X is 50 years. It decays to ano...

    Text Solution

    |

  20. Two radioactive nuclei P and Q, in a given sample decay into a stable ...

    Text Solution

    |