Home
Class 12
PHYSICS
A radioactive species has decay constant...

A radioactive species has decay constant of `lambda=10^(-2)s^(-1)`. Probability that a particular nucleus decays in time t is p. Draw a graph showing variation of `rho` with t. Assume that the selected nucleus survives till last.

Text Solution

Verified by Experts

The correct Answer is:
`(##IJA_PHY_V02_C16_E01_027_A01##)`
Promotional Banner

Topper's Solved these Questions

  • MOTION OF CHARGE IN MAGNETIC FIELD

    ARIHANT|Exercise Level-3|4 Videos
  • WAVE OPTICS

    ARIHANT|Exercise All Questions|37 Videos

Similar Questions

Explore conceptually related problems

If lambda is the decay constant of a nucleus, find the propability that a nucleus wil decay in time t and will not decay in time t .

A newly prepared radioactive nuclide has a decay constant lambda of 10^(-6) s^(-1) . What is the approximate half-life of the nuclide?

If m g of a radioactive species (molar mass M) has decay constant lambda The specis activity of sample at t = is given by:

A radioactive element A decays with a decay constant lambda . The fraction of nuclei that decayed at any time t , if the initial nucle are N_(0) is given by:

A radioactive nucleus X decays to a nucleus Y with a decay constant lambda_X=0.1s^-1 , Y further decays to a stable nucleus Z with a decay constant lambda_Y=1//30s^-1 . Initially, there are only X nuclei and their number is N _0=10^20 . Set up the rate equations for the populations of X, Y and Z. The population of Y nucleus as a function of time is given by N_Y(t)={N _0lambda_X//(lambda_X-lambda_Y)}[exp(-lambda_Yt)-exp(-lambda_Xt)] . Find the time at which N_Y is maximum and determine the population X and Z at that instant.

A radioactive isotope X decays into a stable nucleus Y. Draw graphs showing the variation of rate of formation of Y versus time and the variation of population of Y versus time. Initial population of Y is zero.

A radioactive nucleus X decay to a nucleus Y with a decay with a decay Concept lambda _(x) = 0.1s^(-1) , gamma further decay to a stable nucleus Z with a decay constant lambda_(y) = 1//30 s^(-1) initialy, there are only X nuclei and their number is N_(0) = 10^(20) set up the rate equations for the population of X^9) Y and Z The population of Y nucleus as a function of time is givenby N_(y) (1) = N_(0) lambda_(x)l(lambda_(x) - lambda_(y))) (exp(- lambda_(y)1)) Find the time at which N_(y) is maximum and determine the populastion X and Y at that instant.

A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some other stable nucleus C. Plot of a graph showing the variation of number of atoms of nucleus B vesus time is : (Assume that at t = 0, there are no B atoms in the sample)

ARIHANT-NUCLEAR PHYSICS-All Questions
  1. Consider the nuclear decay reaction. .(z)^(A)Xrarrunderset(z-1)AY+(+...

    Text Solution

    |

  2. The ratio (by weight) for U^(238) in a rock sample is 4:3. Assume that...

    Text Solution

    |

  3. A radioactive species has decay constant of lambda=10^(-2)s^(-1). Prob...

    Text Solution

    |

  4. A radioactive substance has a half life of t(0). Two particular nuclei...

    Text Solution

    |

  5. In a sample of radioactive material the probability that a particular ...

    Text Solution

    |

  6. Atomic mass of .(3)^(7)Li is 7.01600u and that of .(4)^(7)Be is 7.0169...

    Text Solution

    |

  7. .(15)P^(32) is beta active and has a short half life of 14 days. The ....

    Text Solution

    |

  8. A free neutron at rest, decays into three particles: a proton, an elec...

    Text Solution

    |

  9. A radioactive nucleus A decay to C after emitting two alpha and three ...

    Text Solution

    |

  10. A nucleus at rest decays by emitting at alpha particle. The de-Broglie...

    Text Solution

    |

  11. A radioactive sample consists of two isotopes one of then decays by al...

    Text Solution

    |

  12. A deuterium nucleus at rest absorbs a Gamma ray photon of energy 2.21 ...

    Text Solution

    |

  13. Two isotopes of radioactive Radon gas -R(n)^(222) and R(n)^(220) are m...

    Text Solution

    |

  14. The Uranium -238 decay series (also known as 4n+2 series. Can you tell...

    Text Solution

    |

  15. The half lives of two longest-lived radioactive isotopes of phosphorus...

    Text Solution

    |

  16. A diatomic molecule moving at a speed u absorbs a photon of wavelenght...

    Text Solution

    |

  17. A.(7)^(14)N nucleus, when bombarded by .(2)^(4)He, converts into .(8)^...

    Text Solution

    |

  18. Following reactions are known as inverse beta decay p+vecvrarrn+e^(...

    Text Solution

    |

  19. Consider the beta^(-) decay of .(12)^(27)Mg .(12)^(27)Mgrarr.(13)^(2...

    Text Solution

    |

  20. Moderator is used in a nuclear to slow down fast neutrons generated af...

    Text Solution

    |