Home
Class 12
PHYSICS
A sample contains 10^(-2)kg each of two ...

A sample contains `10^(-2)kg` each of two substances A and B with half lives 4 sec and 8 sec respectively. Their atomic weights are in the ratio `1:2`. Find the amounts of A and B after an interval of 16 seconds.

Text Solution

Verified by Experts

`m = m_(0)/2^(n)`
Ratio `1/(2^(4))/1/2^(2) = 1/4 = x//100, x= 25`
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION -A)|20 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION -B)|10 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS|60 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Physics (Section B )|10 Videos

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos

Similar Questions

Explore conceptually related problems

A radioactive sample contains 10^(-3) kg each of two nuclear species A and B with half-life 4 days and 8 days respectively . The ratio of the amounts of A and B after a period of 16 days is

The number of nuclei of two radioactive substance is the same and their half-lives are 1 year and 2 years respectively. The ratio of their activities after 6 years will be

Two radioactive nuclides A and B have half life of t and 2t respectively . If we start an experiment with one mole of each of them, what will be the mole ratio after a time interval of 6 t ?

Two radioactive nuclides A and B have half-lives in the ratio 2:3 respectively. An experiment is made with one mole of each of them. Calculate the molar ratio of A and B after a time interval of three times of half-line of A .

The radioactive sources A and B of half lives of 2 hr and 4 hr respectively, initially contain the same number of radioactive atoms. At the end of 2 hours, their rates of disintegration are in the ratio :

Two radioactive elements A and B are present in a mixture. Both are beta active. Half lives of A and B are 30 minute and 60 minute respectively. The initial activity of the sample hour only 30 beta particles were detected in an interval of 2 second. Assume that law of radioactivity decay is obeyed. (a) Find the ratio of number of active of A to that of B in the mixture initially. (b) The molar mass of both A and B is closed to 200g. The mixture contains other substance (non radioactive) aprt from A and B. what fraction of the entire mixure is radioactive (fraction by weight) if it is given what mass of the mixture is 1mug .

Two radioactive substances X and Y initially contain an equal number of atoms. Their half-lives are 1 hour and 2 hours respectively. Then the ratio of their rates of disintergration after two hours is

Two radioactive substances A and B have half lives of T and 2T respectively. Samples of a and b contain equal number of nuclei initially. After a time 4T , the ratio of the number of undecayed nuclei of A to the number if undecayed nuclei of A to the number of undeacyed nuclei of B is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2022-PART : PHYSICS
  1. Potential energy is region is given by U= alpha/r^(10)- beta/r^5 at eq...

    Text Solution

    |

  2. An object of mass 5 kg is thrown vertically upwards from the ground. T...

    Text Solution

    |

  3. A fly wheel is accelerated uniformly from rest and rotates through 5 r...

    Text Solution

    |

  4. 100 gram nail is being hit by hammer of 1.5 kg with a velocity of 60 m...

    Text Solution

    |

  5. If the charge on a capacitor is increased by 2 C, the energy stored in...

    Text Solution

    |

  6. A long cylindrical volume contains a uniformly distributed charge of d...

    Text Solution

    |

  7. An electric bulb is rated as 200 W. What will be the peak magnetic fie...

    Text Solution

    |

  8. The light of two different frequencies whose photons have energies 3.8...

    Text Solution

    |

  9. The two interfering waves have intensities in the ratio 9 : 4. The rat...

    Text Solution

    |

  10. In Bohr's atomic model of hydrogen, let K, P and E are the kinetic ene...

    Text Solution

    |

  11. A body is projected from the ground at an angle of 45^(@) with the hor...

    Text Solution

    |

  12. An antenna is placed in a dielectric medium of dielectric constant 6.2...

    Text Solution

    |

  13. A potentiometer wire of length 10 m and resistance 20 Omega is connect...

    Text Solution

    |

  14. Two travelling waves of equal amplitudes and equal frequencies move in...

    Text Solution

    |

  15. In the given circuit, the value of current I(L) will be (When R(L) = 1...

    Text Solution

    |

  16. A sample contains 10^(-2)kg each of two substances A and B with half l...

    Text Solution

    |

  17. A ray of light is incident at an angle of incidence 60^(@) on the glas...

    Text Solution

    |

  18. A circular coil of 1000 turns each with area 1 m^(2) is rotated about ...

    Text Solution

    |

  19. Heat given to system containing monoatomic gas is Q . Q/4 work done by...

    Text Solution

    |

  20. In an experiment to verify Newton's law of cooling, a graph is plotted...

    Text Solution

    |