Home
Class 12
PHYSICS
For a radioactive material , half-life i...

For a radioactive material , half-life is 10 minutes . If initially there are 600 number of nuclei , the time taken (in minutes ) for the disintegration of 450 nuclei is

A

3

B

10

C

20

D

15

Text Solution

Verified by Experts

The correct Answer is:
C

`(N/N_0)=(1/2)^(t//T)`
Now we get , `(600-450)/600 =(1/2)^(t//10)`
or , `t/10=2` or , t=20 min
Promotional Banner

Topper's Solved these Questions

  • ATOMIC NUCLEUS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|14 Videos
  • ATOMIC NUCLEUS

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER|24 Videos
  • ATOM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos
  • CAPACITANCE AND CAPACITOR

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|15 Videos

Similar Questions

Explore conceptually related problems

Half-lives of two radioactive elements A and B are 20 minutes and 40 minutes, respectively. Initially, the samples have equal number of nuclei. After 80 minutes, the ratio of decayed numbers of A and B nuclei will be - (A) 1 : 16 (B) 4 : 1 (C) 1 : 4 (D) 5 : 4

Two radioactive nuclei P and Q in a given sample decay into a stable nucleus R. At time t=0, number of P species are 4N_0 and that of Q are N_0 . Half-life of P (for conversion to R) is 1 min whereas that of Q is 2min. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, the number of nuclei of R present in the sample would be

The rate of disintegration of a radioactive element at any instant is 10^3 dps. If the half-life of that element is 1 second, then what is its rate of disintegration after 1 second and after 3 second?

A radioactive isotope has a half-life of 10 years. How long will it take for the activity to reduce to 3.125% ?

The half-life of C^(14) is 5760 years . For a 200 mg sample of C^(14) , the time taken to change to 25 mg is -

The half-life of a radioactive element is 8 d . If the initial mass of the element be 1 g then what amount of it will be disintegrated in 24 d ?

A radioactive sample of half-life 30 d contains 10^12 particles at an instant of time. Find the activity of the sample.

The half-life of a radioactive element is 3 min. If the initial mass of the element be 1 g then after what time 0.0625 g of the element remains intact?

Bacterial cell divides in every minute it takes one hour to fill up a cup. How much time be taken to fill half the cup

Bacterial cell divides in every minute it takes one hour to fill up a cup. How much time be taken to fill half the cup

CHHAYA PUBLICATION-ATOMIC NUCLEUS-EXAMINATION ARCHIVE
  1. Draw the variation of binding energy per nucleon with mass number of a...

    Text Solution

    |

  2. Define binding energy and mass defect of a necleus . What is the relat...

    Text Solution

    |

  3. Write down the equation of beta-decay . Why is the detection of neutri...

    Text Solution

    |

  4. Why is nuclear fusion reaction called a thermonuclear reaction ?

    Text Solution

    |

  5. In a nuclear decay, a nucleus emits one alpha-particle and then two be...

    Text Solution

    |

  6. A radioactive element emits 2 alpha-particles and 3 beta-particles . T...

    Text Solution

    |

  7. Draw the curve showing the variation of binding energy per nucleon as ...

    Text Solution

    |

  8. R = R0A^(1//3) (R0 = constant, A = Mass Number), R = radius of nucle...

    Text Solution

    |

  9. What is meant by activity of a radioactive substance? Write its SI uni...

    Text Solution

    |

  10. Half-life of a radioactive substance is 30 days. Number of atoms in th...

    Text Solution

    |

  11. For the radioactive nuclei that undergo either alpha or beta decay, wh...

    Text Solution

    |

  12. Radon-222 has a half-life of 3.8 days. If one starts with 0.064 kg of ...

    Text Solution

    |

  13. If the half-life of a radioactive nucleus is 3 days, nearly what fract...

    Text Solution

    |

  14. Half-lives of two radioactive elements A and B are 20 minutes and 40 m...

    Text Solution

    |

  15. A radioactive nucleus A with a half-life T, decays into a nucleus B. A...

    Text Solution

    |

  16. The binding energy per nucleon of .3^7Li and .2^4He nuclei are 5.60 M...

    Text Solution

    |

  17. A radioisotope Y with half-life 1.4xx10^9 years decays to X which is s...

    Text Solution

    |

  18. If radius of the .13^27Al nucleus is taken to be R"Al" , then the radi...

    Text Solution

    |

  19. The energy liberated per nuclear fission is 200 MeV. If 10^20 fissions...

    Text Solution

    |

  20. For a radioactive material , half-life is 10 minutes . If initially th...

    Text Solution

    |