Home
Class 12
PHYSICS
Atomic weight of a radioactive element i...

Atomic weight of a radioactive element is `M_(W)` gm. Radioactivity of m gm of its mass is :-
(`N_(A) = ` Avogardro number, `lambda` = decay constant)

A

`N_(A)lambda`

B

`[(N_(A))/(M_(W))m]lambda`

C

`[(N_(A))/(m)]lambda`

D

`[(N_(A))/(m)M_(w)]lambda`

Text Solution

Verified by Experts

The correct Answer is:
B

`R = lambdaN = lambda[(m)/(M_(w)) N_(A)]`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-02|19 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise- 3 Match The Column|1 Videos
  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise SOME WORKED OUT EXAMPLES|29 Videos
  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos
  • TEST PAPER

    ALLEN |Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

The rate at which a particular decay process occurs in a radio active sample, is proportional to the number of radio active nuclei present. If N is the number of radio active nuclei present at some instant, the rate of change of N is (dN)/(dt) = - lambdaN . Consider radioavtive decay of A to B which may further decay, either to X or to Y, lambda_(1),lambda_(2) and lambda_(3) are decay constants for A to B decay, B to X decay and B of Y decay respectively. If at t = 0 number of nuclei of A, B, X and Y are N_(0), N_(0) , zero and zero respectively and N_(1),N_(2),N_(3),N_(4) are number of nuclei A,B,X and Y at any intant. At t = oo , which of the following is incorrect ?

To determine the half life of a radioactive element , a student plote a graph of in |(dN(t))/(dt)| versus t , Here |(dN(t))/(dt)| is the rate of radioatuion decay at time t , if the number of radoactive nuclei of this element decreases by a factor of p after 4.16 year the value of p is

The half - line period a radioactive element X is same as the mean life time of another radioactive element Y . Initially both of them have the same number of atoms. Then:

If 20 gm of a radioactive substance due to radioactive decay reduces to 10 gm in 4 minutes, then in what time 80 gm of the same substance will reduce to 10 gm-

Half-life period of a radioactive element is 100 seconds. Calculate the disintegration constant and average life period. How much time will it take for 90% decay?

A radioactive nuclide is produced at a constant rate x nuclei per second. During each decay, E_0 energy is released ,50% of this energy is utilised in melting ice at 0^@ C. Find mass of ice that will melt in one mean life. ( lambda =decay consant, L_f =Latent heat of fusion )

The distance moved by a particle in time from centre of ring under the influence of its gravity is given by x=a sin omegat where a and omega are constants. If omega is found to depend on the radius of the ring (r), its mass (m) and universal gravitation constant (G), find using dimensional analysis an expression for omega in terms of r, m and G.

Which of the following expressions is correct ( n = no . of moles of the gas, N_(A) = Avogadro constant m = mass of 1 molecule of the gas, N = no of molecules of the gas) ? .

Nuclei of radioactive element A are being produced at a constant rate. alpha . The element has a decay constant lambda . At time t=0 , there are N_(0) nuclei of the element. Calculate the number N of nuclei of A at time t.

Radioactive element decays to form a stable nuclide, then the rate of decay of reactant ((d N)/(d t)) will vary with time (t) as shown in figure.

ALLEN -SIMPLE HARMONIC MOTION-Exercise-01
  1. The constant 'a' Mosely's law sqrt(v) - a(Z-b) for k(alpha)X-rays is r...

    Text Solution

    |

  2. Characteristic X-rays are not obtained in the spectrum of H-atom becau...

    Text Solution

    |

  3. For the decay of nucleus, the possible reason which is not true

    Text Solution

    |

  4. Assuming that 200MeV of energy is released per fission of uranium ato,...

    Text Solution

    |

  5. If the binding energy per nucleon in .(3)Li^(7) and .(2)He^(4) nuclei ...

    Text Solution

    |

  6. The mass of proton is 1.0073 u and that of neutron is 1.0087 u (u= ato...

    Text Solution

    |

  7. The binding energy of deuteron is 2.2 MeV and that of .(2)^(4)He is 28...

    Text Solution

    |

  8. In an alpha -decay, the kinetic energy of alpha-particles is 48 MeV a...

    Text Solution

    |

  9. When a neutron is disintegrated, it gas :-

    Text Solution

    |

  10. If N(t) = N(o)e^(lambdat) then number of disintefrated atoms between t...

    Text Solution

    |

  11. A radioactive element has half-life period of 30 days. How much of it ...

    Text Solution

    |

  12. The half life of a radioactive element is 10 days, if the mass of the ...

    Text Solution

    |

  13. In a mean life of a radioactive sample

    Text Solution

    |

  14. Atomic weight of a radioactive element is M(W) gm. Radioactivity of m ...

    Text Solution

    |

  15. Radioactive element decays to form a stable nuclide, then the rate of ...

    Text Solution

    |

  16. The probability of nucleus to decay in two mean lives is

    Text Solution

    |

  17. A sample of radioactive material decays simultaneouly by two processes...

    Text Solution

    |

  18. Find the Q - value for the nuclear reaction: .(2)He^(4)+.(7)N^(14) r...

    Text Solution

    |

  19. Starting with a sample of pure .^66 Cu, 7//8 of it decays into Zn in 1...

    Text Solution

    |

  20. Consider the following energies :- 1. minimum energy needed to excit...

    Text Solution

    |