Home
Class 12
PHYSICS
Half lives of two isotopes X and Y of a ...

Half lives of two isotopes X and Y of a material are known to be `2xx10^(9)` years and `4xx10^(9)` years respectively if a planet was formed with equal number of these isotopes, then the current age of planet, given that currently the material has `20%` of X and `80%` of Y by number, will be:

A

`2xx10^(9)" years"`

B

`4xx10^(9)"years"`

C

`6xx10^(9)" years"`

D

`8xx10^(9)"years"`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ATOMS AND NUCLEI

    MTG GUIDE|Exercise AIPMT/NEET(MCQs)|40 Videos
  • ATOMS AND NUCLEI

    MTG GUIDE|Exercise NEET CAFÉ (TOPICWISE PRACTICE QUESTIONS)(NUCLEAR FISSION AND FUSION)|9 Videos
  • CURRENT ELECTRICITY

    MTG GUIDE|Exercise MCQs AIPMT / NEET|32 Videos

Similar Questions

Explore conceptually related problems

Half lives of two isotopes X and Y of a material are known to be 2 xx 10^(9) years and 4 xx 10^(9) years respectively. If a planet was formed with equal number of these isotopes, then the current age of planet, given that currently the material has 20 % of X and 80 % of Y by number, will be

In the chemical analysis of a rock the mass ratio of two radioactive isotopes is found to be 100:1 . The mean lives of the two isotopes are 4xx10^9 years and 2xx10^9 years, respectively. If it is assumed that at the time of formation the atoms of both the isotopes were in equal propotional, calculate the age of the rock. Ratio of the atomic weights of the two isotopes is 1.02:1 .

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X ?

The half of ""_(92)""^(238)U against alpha -decay is 4.5xx10""^(9) year. The time taken in year for the decay of 15/16 part of the isotope is

The present day abundances of the isotopes U^(238) and U^(235) are in the ratio of 128: 1. They have half lives of 4.5times10^(9) years and 7times10^(8) years respectively.If age of earth in (49X)/(76)times10^(7) years, then calculate X (Assume equal amount of each isotope existed at the time of formation of the earth)

A parent nucleus X is decaying into daughter nucleus Y which in turn decays to Z. The half lives of X and Y are 40000 years and 20 years respectively. In a certain sample, it is found that the number of Y nuclei hardly changes with time. If the number of X nuclei in the sample is 4 xx 10^(20) , the number of Y nuclei present in its is–

A sample of Uranium is a mixture of two isotopes ._(92)^(234)U and ._(92)^(238)U present in the ratio 10% and 90% by weight. The half lives of these isotopes are 2.5 xx10^(5) years and 4.5 xx10^(5) years respectively. Calculate the contribution to activity in percentage of each isotope in this sample.

MTG GUIDE-ATOMS AND NUCLEI-CHECK YOUR NEET VITALS
  1. Find the radius of Li^(++) ions in its ground state assuming Bohr's mo...

    Text Solution

    |

  2. For which one one of the following bohr model is not valid

    Text Solution

    |

  3. Two H atoms in the ground state collide in elastically. The maximum am...

    Text Solution

    |

  4. The simple Bohr model cannot be directly ap-plied to calculate the ene...

    Text Solution

    |

  5. What is the wavelength of ligth for the least energetic photon emitted...

    Text Solution

    |

  6. The radius of the orbit of an electron in a Hydrogen-like atom is 4.5 ...

    Text Solution

    |

  7. In the Bohr model of the hydrogen atom, let R, v and E represent the r...

    Text Solution

    |

  8. A nucleus .nX^M emits one alpha particle and one beta-particle. What a...

    Text Solution

    |

  9. Half lives of two isotopes X and Y of a material are known to be 2xx10...

    Text Solution

    |

  10. The ratio of the longest to shortest wavelength in Brackett series of ...

    Text Solution

    |

  11. A nucleus of Ux1 has a half life of 24.1 days. How long a sample of Ux...

    Text Solution

    |

  12. A nuclide 1 is said to be the mirror isobar of nuclide 2 if Z(1)=N(2) ...

    Text Solution

    |

  13. The radius of the hydrogen atom in its ground state is a(0). The radiu...

    Text Solution

    |

  14. A heavy nucleus X of mass number 240 and binding energy per nucleon 7....

    Text Solution

    |

  15. A nuclear reactor delivers a power of 10 W. Find fuel consumed by the ...

    Text Solution

    |

  16. In a fission reaction .92^236 U rarr ^117 X + ^117Y + n + n, the bindi...

    Text Solution

    |

  17. The half lives of a radioactive sample are 30 years and 60 years from ...

    Text Solution

    |

  18. A radio isotope X with a half-life 1.4 xx 10^9 years decays of Y which...

    Text Solution

    |

  19. Two radioactive substance A and B have decay constants 5 lambda and la...

    Text Solution

    |

  20. The activity of a radioactive sample is measured as N(0) counts per mi...

    Text Solution

    |