Home
Class 12
PHYSICS
In a radioactive material the activity a...

In a radioactive material the activity at time `t_(1)` is `R_(1)` and at a later time `t_(2)`, it is `R_(2)`. If the decay constant of the material is `lambda`, then

A

`R_(1)=(R_(2)(t_(2)//t_(1))`

B

`R_(1)=R_(2)`

C

`R_(1)=R_(2)e^(-(t_(1)-t_(2)))`

D

`R_(1)=R_(2)e^((t_(1)-t_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE NUCLEUS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (More than One Correct Choice Type)|22 Videos

  • THE NUCLEUS

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Linked Comprehension)|12 Videos

  • THE NUCLEUS

    RESNICK AND HALLIDAY|Exercise PROBLEMS|66 Videos

  • THE KINETIC THEORY OF GASES

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS|72 Videos

  • UNITS AND MEASUREMENT

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MATRIX-MATCH)|11 Videos

Similar Questions

Explore conceptually related problems

In a radioactive material the activity at time t_1 is R_1 and at a later time t_2 , it is R_1 . If the decay constant of the material is lamda , then

Disintegration constant of a radioactive material is lambda :

The activity of a radioactive substance is R_(1) at time t_(1) and R_(2) at time t_(2)(gt t_(1)) . Its decay cosntant is lambda . Then .

80 kg of a radioactive material reduces to 10 kg in 1 h. The decay constant of the material is

The rate of decay of a radioactive sampel is given by R_(1) at time t_(1) and R_(2) at a later time. t_(2) . The mean life of this radioactive sample is:

Half-life of a radioactive substance is T. At time t_1 activity of a radioactive substance is R_1 and at time t_2 it is R_2 . Find the number of nuclei decayed in this interval of time.

The rate of decay of a radioactive species is given by R_(1) at time t_(1) and R_(2) at later time t_(2) . The mean life of this radioactive species is:

The activity of a radioactive substance is R_(0) at t = 0 , R_(1) at t = t and R_(2) at t = 2t . The decay constant of this species is/are given by:

Four thousand active nuclei of a radioactive material are present at t= 0. After 60 minutes 500 active nuclei are left in the sample. The decay constant of the sample is

The activity of a sample of radioactive material A_(1) at time t_(1) and A_(2) at time t_(2)(t_(2)gtt_(1)) . Its mean life is T .

RESNICK AND HALLIDAY-THE NUCLEUS-PRACTICE QUESTIONS (Single Correct Choice Type)
  1. Which of the graphs shown in the figure below best represents the rela...

    Text Solution

    |

  2. The fossil bone has a .^(14)C : .^(12)C ratio, which is [(1)/(16)] of ...

    Text Solution

    |

  3. In a radioactive material the activity at time t(1) is R(1) and at a l...

    Text Solution

    |

  4. A nuclear reaction that uses one nucleus of ""(92)^(236)U generates 17...

    Text Solution

    |

  5. Most suitable element for nuclear fission is the element with a atomic...

    Text Solution

    |

  6. A radioactive sample has half-life of 5 years. Probability of decay in...

    Text Solution

    |

  7. A sample of uranium is a mixture of three isotopes .(92)U^(234), .(92)...

    Text Solution

    |

  8. At time t=0 , number of nuclei of a radioactive substance are 100. At ...

    Text Solution

    |

  9. The decay constant of a radioactive sample is 1. The half life and mea...

    Text Solution

    |

  10. A nucleus with Z=92 emits the following in a sequence alpha, alpha, be...

    Text Solution

    |

  11. The atomic mass of B^(10) is 10.811 amu . Find the binding energy of B...

    Text Solution

    |

  12. Four vessels A,B,C and D respectively, contains 20 g atom (T(1//2=5h),...

    Text Solution

    |

  13. In Rutherford's famous gold foil scatterig experiment he found that mo...

    Text Solution

    |

  14. The electron, neutron, and proton, listed in descending order of mass ...

    Text Solution

    |

  15. Which of the following is a wrong description of binding energy of a n...

    Text Solution

    |

  16. The binding energies of the atoms of elements A and B are E(a) and E(b...

    Text Solution

    |

  17. How does the rest energy of a nucleus compare to the sum of the rest e...

    Text Solution

    |

  18. The binding energies of the nuclei of .2^4 He, .3^7 Li, .6^12 C and .7...

    Text Solution

    |

  19. In the nuclear reaction descried by the equation below, an alpha parti...

    Text Solution

    |

  20. Nucleus A is converted into C through the following reactions, ArarrB...

    Text Solution

    |