Home
Class 12
PHYSICS
A radioactive sample undergoes decay as ...

A radioactive sample undergoes decay as per the following gragp. At time` t=0`, the number of undecayed nuclei is `N_(0)`. Calculate the number of nuclei left after `1 h`.
.

A

`N_(0)//e^(8)`

B

`N_(0)//e^(10)`

C

`N_(0)//e^(12)`

D

`N_(0)//e^(14)`

Text Solution

Verified by Experts

`A=A_(0)e^(-lambda t)`
Promotional Banner

Topper's Solved these Questions

  • GMP ASSESMENT

    FIITJEE|Exercise Assertion & Reason|15 Videos

  • GMP ASSESMENT

    FIITJEE|Exercise Multiple Question|58 Videos

  • GMP ASSESMENT

    FIITJEE|Exercise Numerical Based|61 Videos

  • GENERAL PHYSICS

    FIITJEE|Exercise MATRIX MATCH TYPE|3 Videos

  • GRAVITATION

    FIITJEE|Exercise Numerical based Question|2 Videos

Similar Questions

Explore conceptually related problems

A radioactive sample is decayed 20% in one day. After next two days, the undecayed percentage of nuclei will be

Decay constant of two radioactive samples is lambda and 3lambda respectively. At t = 0 they have equal number of active nuclei. Calculate when will be the ratio of active nuclei becomes e : 1 .

At a given instant, there are 25% undecayed radio-active nuclei in a sample. After 8 sec , the number of undecayed nuclei reduced to 12.5% . The time after which the number of undecayed unclei will further reduce to 6.25% of the reduced number is ______sec

At a given instant there are 25% undecayed radioactive nuclei in a sample . After 10 sec the number of undecayed nuclei remains 12.5% Calculate : (i) mean - life of the nuclei and (ii) The time in which the number of undecayed nuclears will further reduce to 6.25 % of the reduced number.

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 .

At a given instant there are 25% undecayed rodioctive nuclei in sample After 10 s the number of undecyed nuclei reduces to 12.5 % calculate the mean life of the nuclei .

At a given instant there are 25% undecayed radioactive nuclei in a sample. After 10 s the number of undecayed nuclei reduces to 12.5%. Calculate (a) mean life of the nuclei, (b) the time in which the number of undecayed nuclei will further reduce to 6.25% of the reduced number.

Nuclei of 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 =2 N_(0) lambda , calculate the number of nuclei of A after one half-life time of A and also the limiting value of N at t rarr oo .

FIITJEE-GMP ASSESMENT-Objective problems
  1. A current of (2.5+-0.05) A flows through a wire and develops a potenti...

    Text Solution

    |

  2. The dimension of L//C is equivalent to that of (L to inductance, C toc...

    Text Solution

    |

  3. A radioactive sample undergoes decay as per the following gragp. At ti...

    Text Solution

    |

  4. Binding energy per nucleon for C^(12) is 7.68 MeV and for C^(13) is 7....

    Text Solution

    |

  5. A radio nuclide A(1) with decay constant lambda(1) transforms into a r...

    Text Solution

    |

  6. A radioiostope X has a half-life of 10 s. Find the number of nuclei in...

    Text Solution

    |

  7. If 10% of a radioactive material decays in 5 days, then the amount of...

    Text Solution

    |

  8. A free nucleus of mass 24 amu emits a gamma photon (when initially at ...

    Text Solution

    |

  9. The de Broglie wavelength of a thermal neutron at 927^circC is lamda. ...

    Text Solution

    |

  10. The electron in a H- atom makes a transition from n(1) to n(2) where n...

    Text Solution

    |

  11. If E1, E2 and E3 represent respectively the kinetic energies of an el...

    Text Solution

    |

  12. The ionisation energy of 10 times innised sodium atom is

    Text Solution

    |

  13. A point object is placed in front of a silvered plano convex lens of r...

    Text Solution

    |

  14. There are n number of radioactive nuclei in a sample that undergoes be...

    Text Solution

    |

  15. The shortest wavelength produced in an X-ray tube operating at 0.5 mil...

    Text Solution

    |

  16. If the radiation of Mo (Z = 42) has a wevelength of 0.71Å, calculate w...

    Text Solution

    |

  17. A beam of electron accelerated by a large potential difference V is ...

    Text Solution

    |

  18. An experiment measures quantities a, b, c and x the value of x is calc...

    Text Solution

    |

  19. A wire of length l = +- 0.06cm and radius r =0.5+-0.005 cm and mass m ...

    Text Solution

    |

  20. A student performs an experiment for determination of g [ = ( 4 pi^(2...

    Text Solution

    |