Home
Class 12
PHYSICS
After 5 half-lives, what percentage quan...

After 5 half-lives, what percentage quantity of a radioactive element remains undecayed?

A

`4.125%`

B

`3.125%`

C

`31.1% `

D

`42.125%`

Text Solution

Verified by Experts

The correct Answer is:
B
Given,
Number of half lives (n) = 5
N (reamin undecayed)
`= (N_0" (initial undecayed)")/2^n`
`N/N_0=1/2^5 =1/32`
`N/N_0xx100 = 100/32 = 3.125%`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 55

    NTA MOCK TESTS|Exercise PHYSICS (SUBJECTIVE NUMERICAL)|10 Videos

  • NTA TPC JEE MAIN TEST 57

    NTA MOCK TESTS|Exercise PHYSICS |30 Videos

Similar Questions

Explore conceptually related problems

After three half lives, the percentage of fraction of amount

After a time equal to four half lives, the amount of radioactive material remaining undecayed is-

The percentage of quantity of a radioactive material that remains after 5 half-lives will be .

Half life of a radioactive element is 10 days. What percentage of the element will remain undecayed after 100 days?

90% of the active nuclei present in a radioactive sample are found to remain undecyayed after 1 day. The precentage of undecayed nuclei left after two days will be

After two hours 1//6 th of the initial amount of a certain radioactive isotope remains undecayed. The half life of the isotope is :

What percentage of radioactive substance is left after 5 half lives?

Radon has 3.8 days as its half-life . After how many days 25% of a radon sample remains undecayed ?

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 56-PHYSICS
  1. After 5 half-lives, what percentage quantity of a radioactive element ...

    Text Solution

    |

  2. A radioactive nucleus can decay by two different processes . The half ...

    Text Solution

    |

  3. In the given circuit, find the current in the wire between points A an...

    Text Solution

    |

  4. A straight wire of length L is bent into a semicircle. It is moved in ...

    Text Solution

    |

  5. Identify the incorrect statement regarding EM waves:

    Text Solution

    |

  6. For a system of two dipoles vecP1 and vecP2 as shown in the figure (b...

    Text Solution

    |

  7. In Milikan's oil drop experiment, a charged drop falls with terminal v...

    Text Solution

    |

  8. A body is orbiting around earth at a mean radius which is two times a...

    Text Solution

    |

  9. A ball is released from the top of a tower of height h metre. It takes...

    Text Solution

    |

  10. A bloak of mass 2 kg is sliding along a rough floor (muk = 0.3, mus = ...

    Text Solution

    |

  11. For zero Magnetic Field at the centre the value of i1/i2 is:

    Text Solution

    |

  12. A liquid is flowing in a horizontal uniform capillary tube under a con...

    Text Solution

    |

  13. If light travels a distance x in t(1) sec in air and 10x distance in t...

    Text Solution

    |

  14. Two lenses of flint glass are of focal length 8 cm and 4 cm. What must...

    Text Solution

    |

  15. Two rings of same radius and mass are placed such that their centres a...

    Text Solution

    |

  16. A child is standing with folded hands at the center of a platform rota...

    Text Solution

    |

  17. The temperature of an ideal gas undergoing adiabatic expansion varies ...

    Text Solution

    |

  18. The maximum intensity of fringes in Young's experiment is I. If one of...

    Text Solution

    |

  19. velocity of a body of mass 2kg moving in x-y plane is given by vecv=(2...

    Text Solution

    |

  20. Two men with weights in the ratio 4:3 run up a staircase in time in th...

    Text Solution

    |