Home
Class 12
PHYSICS
The half-life of a radioactive isotope X...

The half-life of a radioactive isotope `X` is `20` years. It decays to another element `Y` which is stable. The two elements `X` and `Y` were found to be in the ratio of `1 : 7` in a sample of a given rock. The age of the rock was estimated to be.

A

60 years

B

80 years

C

100 years

D

40 years

Text Solution

Verified by Experts

The correct Answer is:
A

Value of x is `1/8=x_(0)/8=x_(0)/2^(3)implies t=3T=3xx20=60`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    NIKITA PUBLICATION|Exercise Multiple Choice Question|421 Videos

Similar Questions

Explore conceptually related problems

The half-life of a radioactive isotope X is 50 years. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1 : 15 in a sample of a given rock. The age of the rock was estimated to be

The half life of a radioactive isotope X is 50 years. It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio of 1: 15 in a sample of a given rock. The age (in years) of the rock was estimated to be

The half-life of a radioactive isotope X is 50 yr. It decays to nother element Y which is stable. The two elements X and Y were found to be in the ratio of 1 : 15 in a sample of a give rock. The age of the rockwas estimated to be

The half-life of a radioactive isotope X is 20 yr . It decays to another element Y which is stable. The two elements X and Y were found to be in the ratio 1:7 in a sample of given rock. The age of the rock is estimated to be

A radioactive isotope X with a half-life of 1.37 xx 109 years decays to Y which is stable. A sample of rock from the moon was found to contain both the elements X and Y which were in the ratio of 1 : 7 . The age of the rock is.

A radio isotope X with a half-life 1.4 xx 10^9 years decays of Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1 : 7 . The age of the rock is.

A radioactive isotope X with half-life 1.5xx10^(9) yr decays into a stable nucleus Y .A rock sample contains both elements X and Y in the ratio 1 : 15. They age of the rock is

NIKITA PUBLICATION-ATOMS, MOLECULES AND NUCLEI-MCQs
  1. If the electron in a hydrogen atom jumps from an orbit with level n(1)...

    Text Solution

    |

  2. In hydrogen atom, the electron is making 6.6xx10^(15) rev//sec around ...

    Text Solution

    |

  3. The radius of hydrogen atom in its ground state is 5.3 xx 10^(-11)m. A...

    Text Solution

    |

  4. The orbital frequency of an electron in the hydrogen atom is proportio...

    Text Solution

    |

  5. Balmer series of hydrogen atom lies in

    Text Solution

    |

  6. The de-Broglie wavelength of an electron in the ground state of the hy...

    Text Solution

    |

  7. The acceleration of electron in Bohr's 1^(st) orbit is given by

    Text Solution

    |

  8. An electron moves in Bohr's orbit. The magnetic field at the centre is...

    Text Solution

    |

  9. The de-Broglie's wavelength in 1^(st) Bohr's orbit is

    Text Solution

    |

  10. In Bohr's orbit angular momentum of an electron is proportional to

    Text Solution

    |

  11. In Bohr's orbit, kinetic energy of an electron in the n^(th) orbit of ...

    Text Solution

    |

  12. The de-Broglie wavelength lambda associated with charged particle of c...

    Text Solution

    |

  13. Ratio of longest wave lengths corresponding to Lyman and Balmer series...

    Text Solution

    |

  14. A certain mass of hydrogen is changes to helium by the process of fusi...

    Text Solution

    |

  15. The half-life of a radioactive isotope X is 20 years. It decays to ano...

    Text Solution

    |

  16. If, an electron in hydrogen atom jumps from an orbit of lelvel n=3 to ...

    Text Solution

    |

  17. The de-Broglie wavelength of an electron in 4th orbit is (where, r=rad...

    Text Solution

    |

  18. For balmer series wavelength of first line is lambda(1) and for brack...

    Text Solution

    |

  19. For the hydrogen atom the energy of radiation emitted in the transita...

    Text Solution

    |

  20. The de Broglie wavelength lambda of a particle

    Text Solution

    |