Home
Class 12
PHYSICS
The activity of a radioactive substance ...

The activity of a radioactive substance is `R_(1)` at time `t_(1)` and `R_(2)` at time `t_(2)(gt t_(1))`. Its decay cosntant is `lambda`. Then .

A

`R_(1)t_(1)=R_(2)t_(2)`

B

`R_(1)=R_(1)e^(-(lambda^(t_(1)-t_(2))))`

C

`(R_(1)-R_(2))/(t_(2)-t_(1))`=constant

D

`R_(2)=R_(1)e^(lambda(t_(2)-t_(1))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MODERN PHYSICS

    DC PANDEY|Exercise for JEE Advanced (only one option is Correct)|77 Videos
  • MODERN PHYSICS

    DC PANDEY|Exercise for JEE Advanced (More than One Options is Correct )|1 Videos
  • MAGNETISM AND MATTER

    DC PANDEY|Exercise Medical gallery|1 Videos
  • MODERN PHYSICS - 1

    DC PANDEY|Exercise Level 2 Subjective|23 Videos

Similar Questions

Explore conceptually related problems

Activity of a radioactive substance is R_(1) at time t_(1) and R_(2) at time t_(2) (t_(2) gt t_(1)) then the ratio (R_(2))/( R_(1)) is :

The activity of a sample of radioactive material A_(1) at time t_(1) and A_(2) at time t_(2)(t_(2)gtt_(1)) . Its mean life is T .

The activity of a sample of radioactive material is R_(1) at time t_(1)andR_(2)"at time"t_(2)(t_(2)gtt_(1)) . Its mean life is T. Then,

The activity of a radioactive substance is R_(0) at t = 0 , R_(1) at t = t and R_(2) at t = 2t . The decay constant of this species is/are given by:

The activity of a sample of radioactive material is A_1 at time t_(1) and A_(2) at time t_(2)(t_(2) le t_(1)) . Obtain an expression for its mean life.

The activity of a sample of a radioactive meterial is A_1 , at time t_1 , and A_2 at time t_2(t_2 gt t_1) . If its mean life T, then

The rate of decay of a radioactive species is given by R_(1) at time t_(1) and R_(2) at later time t_(2) . The mean life of this radioactive species is:

The rate of decay of a radioactive sampel is given by R_(1) at time t_(1) and R_(2) at a later time. t_(2) . The mean life of this radioactive sample is:

DC PANDEY-MODERN PHYSICS-Integer Type Questions
  1. The activity of a radioactive substance is R(1) at time t(1) and R(2) ...

    Text Solution

    |

  2. The ratio between acceleration of the electron in singley ionized heli...

    Text Solution

    |

  3. If the radius of firs Bohr's orbit is x, then de-Broglie wavelenght of...

    Text Solution

    |

  4. A H-atom moving with speed v makes a head on collisioon with a H-atom ...

    Text Solution

    |

  5. The magnetic fieold at the centre of a hydrogen atom due to the motion...

    Text Solution

    |

  6. when the voltage applied to an X-ray tube increases from V(1) = 10 kV ...

    Text Solution

    |

  7. Light of wavelength 330nm falling on a piece of metal ejects electrons...

    Text Solution

    |

  8. Light of wavelength 0.6mum from a sodium lamp falls on a photocell and...

    Text Solution

    |

  9. An alpha-particle accelerated through V volt is fired towards a nucleu...

    Text Solution

    |

  10. The kinetic energies of the photoelectrons ejected from a metal surfac...

    Text Solution

    |

  11. In a hydrogen atom following the Bohr's psotulates the product of line...

    Text Solution

    |

  12. A target element A is bombarded with electrons and the wavelengths of ...

    Text Solution

    |

  13. A moving hydrogen atom makes a head on collision with a stationary hy...

    Text Solution

    |

  14. A radioactive sample contains two different types of radioactive nucle...

    Text Solution

    |

  15. A overset(lambda)rarr B overset(2 lambda)rarr C T=0 ,N(0) , 0 , T...

    Text Solution

    |

  16. In a photeclectric experiment , when electromegnetic wave given by E=E...

    Text Solution

    |

  17. Nuclei X and Y convert into a stable nucleus Z. At t=0 , the number o...

    Text Solution

    |

  18. Single electron is orbiting in n^(th)orbit of hydrogen atom. The magne...

    Text Solution

    |