Home
Class 12
PHYSICS
The plot of the number (N) of decayed at...

The plot of the number (N) of decayed atoms versus activity (R) of a radioactive substance is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

We have, `N=N_(0)e^(-lamdat)and R=R_(0)e^(-lamdat)=lamdaN_(0)e^(-lamdat)`
`thereforeN_("decayed")=N_(0)-N=N_(0)e^(-lamdat)=N_(0)-(R)/(lamda)`
This is equation of straight line with negative slope.
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    DC PANDEY ENGLISH|Exercise B Medical entrance special format questions|9 Videos
  • NUCLEI

    DC PANDEY ENGLISH|Exercise MATCH THE COLUMNS|4 Videos
  • NUCLEI

    DC PANDEY ENGLISH|Exercise CHECK POINT 13.3|15 Videos
  • MODERN PHYSICS - 2

    DC PANDEY ENGLISH|Exercise Level 2 Subjective|10 Videos
  • RAY OPTICS

    DC PANDEY ENGLISH|Exercise Medical entrance gallary|76 Videos

Similar Questions

Explore conceptually related problems

State the law of radioactive decay. Plot a graph showing the number (N) of undecayed nuclei as a function of time (t) for a given radioactive sample having half life T_(1//2) Depict in the plot the number of undecayed nuclei at (i) t=3T_(1//2) and (ii) t=5T_(1//2) .

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.

Using the equation N = N_(0)e^(-lambdat) , obtain the relation between half-life (T) and decay constant (lambda) of a radioactive substance.

The relationship between decay constant lamda and half-life T of a radioactive substance is

At t=0 , number of radioactive nuclei of a radioactive substance are x and its radioactivity is y. Half-life of radioactive substance is T. Then,

The half-life of a radioactive substance is 30 minutes, The time (in minutes) taken between 40 % decay and 85 % decay of the same radioactive substance is.

Assertion Two different radioactive substances have initially same number of nuclei. Their decay constants are lamda_(1)and lamda_(2)(ltlamda_(1)). Then, initially first radioactiv substance decays at faster rate. Reason Half-life of first radioactive substance is less.

A radioactive substance (parent) decays to its daughter element . The age of radioactive substance (t) is related to the daughter (d)/parent (p) ratio by the equation :

A human body required the 0.01 M activity of radioactive substance after 24 h. Half life of radioactive substance is 6h. Then injection of maximum activity of radioactie substance that can be injected will be

Write the law of radioavtive decay. Decay constant of a radioactive substances is 10^(-3) per year. Calculate its half-life time in year.

DC PANDEY ENGLISH-NUCLEI-CHAPTER EXERCISES
  1. In the reaction ""(1)^(2)H+""(1)^(3)H to ""(2)^(4)He+""(0)^(1)n. If th...

    Text Solution

    |

  2. A radioactive sample has N0 active at t = 0 . If the rate of disintegr...

    Text Solution

    |

  3. The plot of the number (N) of decayed atoms versus activity (R) of a r...

    Text Solution

    |

  4. The graph between the instantaneous concentration (N) of a radioactive...

    Text Solution

    |

  5. Two redioactive materials X(1)andX(2) have decay constants 10lamdaandl...

    Text Solution

    |

  6. Two radioactive nuclei A and B are taken with their disintegration con...

    Text Solution

    |

  7. What is the binding energy per nucleon in ""2He^4 ? Given , Mass of ...

    Text Solution

    |

  8. A radio istoper X with a half-life 1.4xx10^(8) yr decays of Y which is...

    Text Solution

    |

  9. The energy released by the fission of a single uranium nucleus is 200 ...

    Text Solution

    |

  10. A common example of beta-"decay" is ""(15)P^(32)to""(16)P^(32)+x+y ...

    Text Solution

    |

  11. A nucleus with Z =92 emits the following in a sequence: alpha,beta^(...

    Text Solution

    |

  12. Two identical blocks A and B of equal masses are placed on rough incli...

    Text Solution

    |

  13. Tritium is an isotope of hydrogen whose nucleus triton contains 2 neut...

    Text Solution

    |

  14. The gravitational force between a H-atom and another particle of mass ...

    Text Solution

    |

  15. In a sample of radioactive material, what fraction of initial number o...

    Text Solution

    |

  16. In a radioactive sample, the fraction of initial number of redioactive...

    Text Solution

    |

  17. At any instant, the ratio of the amounts of two radioactive substance ...

    Text Solution

    |

  18. A radioactive isotope X with half-life 1.5xx10^(9) yr decays into a st...

    Text Solution

    |

  19. Find the decay rate of the substance having 4xx10^15 atoms. Half life ...

    Text Solution

    |

  20. The half life of radioactive element is 20 min. The time interval betw...

    Text Solution

    |