Home
Class 12
PHYSICS
A radioactive nucleus A with a half life...

A radioactive nucleus A with a half life T, decays into a nucleus B. At t = 0, there is no nucleus B. At sometime t, the ratio of the number of B to that of A is 0.3. Then, t is given by :

A

`t = T/(log (1.3))`

B

`t = (T/2) (log 2)/(log 1.3)`

C

`t = T (log 1.3)/(log 2)`

D

`t = T log (1.3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MODERN PHYSICS - 2

    MOTION|Exercise EXERCISE - 4 (Level -II) PREVIOUS YEAR - JEE ADVANCED|28 Videos
  • MODERN PHYSICS - 2

    MOTION|Exercise EXERCISE - 3 (Level -II) SUBJECTIVE - JEE ADVANCED (SECTION D)|2 Videos
  • MODERN PHYSICS

    MOTION|Exercise PHYSICS|73 Videos
  • MODERN PHYSICS -1

    MOTION|Exercise EXERCISE-4 ( LEVEL- II)|39 Videos

Similar Questions

Explore conceptually related problems

A radioactive nucleus A with a half life T, decays into nucleus B. At t=0, there is no nucleus B. At somewhat t, the ratio of the number of B to that of A is 0.3 . Then, t is given by

A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some other stable nucleus C. Plot of a graph showing the variation of number of atoms of nucleus B vesus time is : (Assume that at t = 0, there are no B atoms in the sample)

At t=0 we begin to observe two identical radioactive nuclei with a half life of 5 min. At t=1 min one of the nuclei decays. Does that event increase or decrease the chance of the second nucleus decaying in the next 4 min. or is there no effect on the second nucleus?

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 .

A radioactive nucleus A has a single decay mode with half life tau_(A) . Another radioactive nucleus B has two decay modes 1 and 2. If decay mode 2 were absent, the half life of B would have been tau_(A)//2 . If decay mode 1 were absent, the half life of B would have been 3 tau_(A) , then the ratio tau_(B)//tau_(A) is–

Initially two radioactive nucleus have same no of active nucleus their half life are 3 years and 4 years respectively after how many years, number of nucleus of one of the radioactive element is half the number of active nucleus of other radioactive element.

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 .

Consider a radioactive nucleus A which decays to a stable nucleus C through the following sequence A to B to C Here B is an intermediate nuclei which is also radioactive. Considering that there are N_(0) atoms of A initially , plot the praph showing the variation of number of atoms of A and B versus time.

MOTION-MODERN PHYSICS - 2-EXERCISE - 4 (Level -I) PREVIOUS YEAR - JEE MAIN
  1. The energy spectrum of beta - particle [number N€ as a function of bet...

    Text Solution

    |

  2. If the binding energy per nucleon in .(3)^(7)Li and .(2)^(4)He nuclei ...

    Text Solution

    |

  3. An alpha nucleus of energy (1)/(2)m nu^(2) bombards a heavy nucleus o...

    Text Solution

    |

  4. Which of the following transitions in a hydrogen atom emits photon of ...

    Text Solution

    |

  5. In gamma ray emission from a nucleus

    Text Solution

    |

  6. If M(O) is the mass of an oxygen isotope .(8)O^(17),M(p) and M(n) are ...

    Text Solution

    |

  7. The half-life period of a radio-active element X is same as the mean l...

    Text Solution

    |

  8. Assertion: Energy is released when heavy nuclei undergo fission or lig...

    Text Solution

    |

  9. The alongside is a plot of binding energy per nucleon E(b) ,against th...

    Text Solution

    |

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

    Text Solution

    |

  11. A nucleus of mass M + Deltam is at rest and decays into two daughter n...

    Text Solution

    |

  12. A nucleus of mass M + Deltam is at rest and decays into two daughter n...

    Text Solution

    |

  13. The half-life of a radioactive substance is 20 min. The approximate ti...

    Text Solution

    |

  14. Statement-1:A nucleus having energy E(1) decays by beta^(-) emission t...

    Text Solution

    |

  15. Assume that a neutron breaks into a proton and an electron. The energy...

    Text Solution

    |

  16. If a simple pendulum has significant amplitude (up to a factor of1//e ...

    Text Solution

    |

  17. Half-lives of two radioactive elements A and B are 20 minutes and 40 m...

    Text Solution

    |

  18. A radioactive nucleus A with a half life T, decays into a nucleus B. A...

    Text Solution

    |

  19. Some energy levels of a molecule are shown in the figure. The ratio of...

    Text Solution

    |

  20. It is found that if a neutron suffers an elastic collinear collision w...

    Text Solution

    |