Home
Class 12
PHYSICS
A radioactive sample has N0 active at t ...

A radioactive sample has `N_0` active at `t = 0` . If the rate of disintegration at any time is `R` and the number of atoms is `N`, them the ratio `R//N` varies with time as.

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D

`R= lamda N rArr (R)/(N)= lamda`
Promotional Banner

Topper's Solved these Questions

  • ATOMIC AND NUCLEAR PHYSICS

    ERRORLESS|Exercise Past Years Questions|67 Videos
  • ATOMIC AND NUCLEAR PHYSICS

    ERRORLESS|Exercise Assertion and Reason|23 Videos
  • ATOMIC AND NUCLEAR PHYSICS

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Nucleus, Nuclear Reaction)|57 Videos
  • ALTERNATING CURRENT

    ERRORLESS|Exercise Assertion & Reason|13 Videos
  • CURRENT ELECTRICITY

    ERRORLESS|Exercise ASSERTION AND REASON|26 Videos

Similar Questions

Explore conceptually related problems

The rate of disintegration of a radioactive substance is …………………………… to the number of atoms present at that time .

The radioactive of a sample is R_(1) at a time T_(1) and R_(2) at a time T_(2) . If the half-life of the specimen is T , the number of atoms that have disintegrated in the time (T_(2)-T_(1)) is equal to (n(R_(1)-R_(2))T)/(ln4) . Here n is some integral number. What is the value of n?

The radioactivity of sample is R_(1) at a time T_(1) and R_(2) at a time T_(2) . If the half -life of thespeciman is T, the number of atoms that have disintegrated in the time (T_(2)-T_(1)) is equal to :

The radioactivity of a sample is R_(1) at a time T_(1) and R_(2) at time T_(2) . If the half-life of the specimen is T, the number of atoms that have disintegrated in the time (T_(2) -T_(1)) is proporational to

The radioactivity of a sample is A_1 at time t_1 and A_2 at time t_2 If the mean life of the specimen is T , the number of atoms that have disintegrated in the time interval of (t_2 - t_1) is :

The curve between the activity A of a radioactive sample and the number of active atoms N is.

The radioactivity of a sample is R_(1) at a time T_(1) and R_(2) at a time, T_(2) If the half-line of the secimen is T , the number of atoms that have disintergrated in the time (T_(2) - T_(1)) is proportional to:

A radioactive sample having N nuclei has activity R. Write down an expression for its half life in terms of R and N.

A radioactive sample has initial concentration N_(0) of nuclei. Then,

The activity of a radioactive sample is measures as N_0 counts per minute at t = 0 and N_0//e counts per minute at t = 5 min . The time (in minute) at which the activity reduces to half its value is.

ERRORLESS-ATOMIC AND NUCLEAR PHYSICS-NCERT BASED QUESTIONS (Radioactivity)
  1. The half-life of radium is about 1600 yr. Of 100g of radium existing n...

    Text Solution

    |

  2. The activity of a radioactive element decreased to one - third of orig...

    Text Solution

    |

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

    Text Solution

    |

  4. In Fig. X represents time and Y represent activity of a radioactive s...

    Text Solution

    |

  5. A nucleus has a half-life of 30 minutes. At 3 PM its decay rate was m...

    Text Solution

    |

  6. Half-life of radioactive sample, when activity of material initially w...

    Text Solution

    |

  7. The number of nuclei of two radioactive substance is the same and thei...

    Text Solution

    |

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

    Text Solution

    |

  9. The activity of a sample of radioactive material A(1) at time t(1) and...

    Text Solution

    |

  10. A small quantity of solution containing ""^(24)Na radio nuclide (half...

    Text Solution

    |

  11. A freshly prepared radioactive sample of half-life 4 hours emits radia...

    Text Solution

    |

  12. The decay constant of a radioactive sample is lambda. The half-life an...

    Text Solution

    |

  13. A radioactive substance emits 100 beta particles in the first 2 second...

    Text Solution

    |

  14. A radioactive nucleus A has a single decay mode with half life tau(A)....

    Text Solution

    |

  15. Two species of radioactive atoms are mixed in equal number. The disint...

    Text Solution

    |

  16. .^22 Ne nucleus after absorbing energy decays into two alpha-particles...

    Text Solution

    |

  17. The compositon of an alpha particle can be expressed as

    Text Solution

    |

  18. During a negative beta decay,

    Text Solution

    |

  19. The energy spectrum of beta - particle [number N€ as a function of bet...

    Text Solution

    |

  20. M(x) and M(y) denote the atomic masses of the parent and the daughter ...

    Text Solution

    |