Home
Class 12
PHYSICS
The mean life of a radioactive sample is...

The mean life of a radioactive sample is 100 years. Then after 100 years, about -

A

`0%` of the smple remains active

B

`37%` of the smple remains active

C

`63%` of the smple remains active

D

`50%` of the sample remains active

Text Solution

Verified by Experts

The correct Answer is:
B

`t_("mean") = (1)/(lamda) = 100`
`rArr N =N_(0)e^(-lamda t)=N_(0)//e =37N_(0)`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.28|9 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.29|20 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.26|8 Videos
  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos
  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

The mean of life of a radioactive sample is 100 years. Then after 100 years, about-

In a mean life of a radioactive sample

Mean life of a radioactive sample is 100s . Then ,its half-life (in min) is

If the half-life of a radioactive sample is 10 hours its mean life is

The half lives of a radioactive sample are 30 years and 60 years from alpha- emission and beta- emission respectively. If the sample decays both by alpha- emission and beta- emission emission simultaneously, the time after which only one-fourth of the sample remain is

If the half-life of a radioactive sample is 10 hours its mean life is ?

The half life of a radioactive substance is 13 years. The decay constant is

The activity of a nucleus is inversely proportional to its half of average life. Thus, shorter the half life of an element, greater is its radioactivity, i.e., greater the number of atomsd disintegrating per second. The relation between half life and average life is t_(1//2) = (0.693)/(lambda) = tau xx 0.693 or tau = 1.44 t_(1//2) The half life of a radioactive element is 10 years. What percentage of it will decay in 100 years?

The half-life period of a radioactive element is 100 days. After 400 days, one gram of the element will reduced to:

The half-life of a radioactive substance is 100 years, Calculate in how many years the activity will decay to 1/10th of its initial value.

RESONANCE ENGLISH-DAILY PRACTICE PROBLEM-DPP No.27
  1. A particle is projected along a horizontal field whose coefficient of ...

    Text Solution

    |

  2. The velocity v of a particle at time t is given by v=at+(b)/(t+c), whe...

    Text Solution

    |

  3. A particle of mass m = 2kg executes SHM in xy- plane between point A a...

    Text Solution

    |

  4. An object of mass 5 kg falls from rest through a vertical distance of ...

    Text Solution

    |

  5. A concave mirror of focal length f produces an image n times the size ...

    Text Solution

    |

  6. Consider three charges q, - q, (in Sl units) at the vetrices of an equ...

    Text Solution

    |

  7. The potential energy of a particle of mass m free to move along the x-...

    Text Solution

    |

  8. When a point charge of (1)/(3)mu C is placed on the axis of a thin dis...

    Text Solution

    |

  9. A monochromatic beam of light of wavelength lambda and frequency v goe...

    Text Solution

    |

  10. A particle is rotated in a verticle circle by connecting it to the end...

    Text Solution

    |

  11. The potential energy function associated with the force vecF=4xyhati+2...

    Text Solution

    |

  12. A block of mass 1 kg slides down a vertical curved track that is one q...

    Text Solution

    |

  13. The mean life of a radioactive sample is 100 years. Then after 100 yea...

    Text Solution

    |

  14. A stone is thrown horizontally with a velocity of 10m//sec. Find the r...

    Text Solution

    |

  15. A body is tied up a string of length l and rotated in vertical circle ...

    Text Solution

    |

  16. A 1 kg block is being pushed against a wall by a force F=75N as shown...

    Text Solution

    |

  17. The binding energy per nucleon for the parent nucleus is E1 and that f...

    Text Solution

    |

  18. The speed of daughter nuclei is

    Text Solution

    |

  19. A radioactive nucleus (initial mass number A and atomic number Z) emit...

    Text Solution

    |

  20. To determine the half life of a radioactive element , a student plot a...

    Text Solution

    |