Home
Class 12
PHYSICS
Staements I: In alpha decay of different...

Staements I: In alpha decay of different radioactive nuclides, the energy of alpha particles has been compared. It is found that as the energy of alpha particle increases the half-life of the decay goes on decreasing.
Staements II: More is the energy in any decay process, more is the probability of decaying the nuclide which leads to faster rate of decay.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we will break down the information provided in each statement and evaluate their validity step by step. ### Step 1: Understanding Statement I **Statement I:** In alpha decay of different radioactive nuclides, the energy of alpha particles has been compared. It is found that as the energy of alpha particle increases, the half-life of the decay goes on decreasing. - **Explanation:** In alpha decay, an unstable nucleus emits an alpha particle (which consists of 2 protons and 2 neutrons). The energy of the emitted alpha particles can vary depending on the nuclide. - When the energy of the alpha particle increases, it indicates that the alpha particle is emitted with greater kinetic energy. This higher energy allows the alpha particle to overcome the potential barrier of the nucleus more effectively. - As a result, the decay occurs more quickly, leading to a shorter half-life. Therefore, this statement is correct. ### Step 2: Understanding Statement II **Statement II:** More is the energy in any decay process, more is the probability of decaying the nuclide which leads to a faster rate of decay. - **Explanation:** In radioactive decay, the rate of decay is related to the probability of the decay process occurring. Higher energy in the decay process increases the likelihood that the decay will occur. - This is because higher energy can help the particles overcome the barriers that prevent decay. Thus, a higher energy level correlates with a higher probability of decay, which results in a faster decay rate. - Therefore, this statement is also correct. ### Step 3: Conclusion Both statements are correct. Statement I describes the relationship between the energy of alpha particles and the half-life of radioactive decay, while Statement II explains the general principle that higher energy leads to a higher probability of decay. ### Final Answer Both Statement I and Statement II are correct, and Statement II provides an explanation for Statement I. ---

To analyze the given statements, we will break down the information provided in each statement and evaluate their validity step by step. ### Step 1: Understanding Statement I **Statement I:** In alpha decay of different radioactive nuclides, the energy of alpha particles has been compared. It is found that as the energy of alpha particle increases, the half-life of the decay goes on decreasing. - **Explanation:** In alpha decay, an unstable nucleus emits an alpha particle (which consists of 2 protons and 2 neutrons). The energy of the emitted alpha particles can vary depending on the nuclide. - When the energy of the alpha particle increases, it indicates that the alpha particle is emitted with greater kinetic energy. This higher energy allows the alpha particle to overcome the potential barrier of the nucleus more effectively. - As a result, the decay occurs more quickly, leading to a shorter half-life. Therefore, this statement is correct. ...
Promotional Banner

Topper's Solved these Questions

  • NUCLEAR PHYSICS

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|29 Videos
  • NUCLEAR PHYSICS

    CENGAGE PHYSICS ENGLISH|Exercise Integer|6 Videos
  • NUCLEAR PHYSICS

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|35 Videos
  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS ENGLISH|Exercise Integer|12 Videos
  • PHOTOELECTRIC EFFECT

    CENGAGE PHYSICS ENGLISH|Exercise Integer Type|4 Videos

Similar Questions

Explore conceptually related problems

Statement-1 : In alpha -emission, the alpha -particle carries in heavy elements. and Statement-2 : In alpha -decay, the alpha -particle being lighter has more velocity.

A radioactive nucleus decays by emitting one alpha and two beta particles, the daughter nucleus is ………………….. of the parent

A free neutron beta-decays to a proton weth a half-life of 14 minutes .(a)What is the decay constant ?(b)Find the energy liberated in the process.

Heavy radioactive nucleus decay through alpha- decay also. Consider a radioactive nucleus x. It spontaneously undergoes decay at rest resulting in the formation of a daughter nucleus y and the emission of an alpha- particle. The radioactive reaction can be given by x rarr y + alpha However , the nucleus y and the alpha- particle will be in motion. Then a natural question arises that what provides kinetic energy to the radioactive products. In fact, the difference of masses of the decaying nucleus and the decay products provides for the energy that is shared by the daughter nucleus and the alpha- particle as kinetic energy . We know that Einstein's mass-energy equivalence relation E = m c^(2) . Let m_(x), m_(y) and m_(alpha) be the masses of the parent nucleus x, the daughter nucleus y and alpha- particle respectively. Also the kinetic energy of alpha- particle just after the decay is E_(0) . Assuming all motion of to be non-relativistic. Just after the decy , if the speed of alpha- particle is v, then the speed of the centre of mass of the system of the daughter nucleud y and the alpha- particle will be

In an alpha -decay, the kinetic energy of alpha -particles is 48 MeV and Q value of the reaction is 50 MeV . The mass number of the mother nucleus is (assume that daughter nucleus is in ground state)

In an alpha -decay, the kinetic energy of alpha -particles is 48 MeV and Q value of the reaction is 50 MeV . The mass number of the mother nucleus is (assume that daughter nucleus is in ground state)

In an alpha -decay, the kinetic energy of alpha -particles is 48 MeV and Q value of the reaction is 50 MeV . The mass number of the mother nucleus is (assume that daughter nucleus is in ground state)

The kinetic energy of alpha -particle emitted in the alpha -decay of ""_(88)Ra^(266) is [given, mass number of Ra = 222 u]

What are the respective number of alpha and beta -particles emitted in the following radioactive decay?

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

CENGAGE PHYSICS ENGLISH-NUCLEAR PHYSICS-Single Correct Option
  1. Staements I: The nucleus .Z^AX is having atomic mass as well as its ma...

    Text Solution

    |

  2. Staements I: Light nuclei are most stable if N =Z, while heavy nuclei ...

    Text Solution

    |

  3. Staements I: In alpha decay of different radioactive nuclides, the ene...

    Text Solution

    |

  4. Staements I: To determine the age of certain very old oragnic samples,...

    Text Solution

    |

  5. Staements I: The amount of energy required to remove an average nucleo...

    Text Solution

    |

  6. Statements I: The fission of a heavy nucleus is always accompanied wit...

    Text Solution

    |

  7. Nuclei of a radioactive element X are being produced at a constant rat...

    Text Solution

    |

  8. Nuclei of a radioactive element X are being produced at a constant rat...

    Text Solution

    |

  9. Nuclei of a radioactive element X are being produced at a constant rat...

    Text Solution

    |

  10. A radioactive with decay constant lambda is being produced in a nuclea...

    Text Solution

    |

  11. The half-life of the radioactive radon is 3.8 days. The time, at the e...

    Text Solution

    |

  12. Beta rays emitted by a radicactive material are

    Text Solution

    |

  13. The equation 41^1Hrarr2^4He^2+2e^-+26MeV represents

    Text Solution

    |

  14. During a beta decay

    Text Solution

    |

  15. During a nuclear fusion reaction,

    Text Solution

    |

  16. A freshly prepared radioactive source of half-life 2 h emits radiation...

    Text Solution

    |

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

    Text Solution

    |

  18. A star initially has 10^40 deuterons. It produces energy via the proce...

    Text Solution

    |

  19. Fast neutrons can easily be slowed down by

    Text Solution

    |

  20. Consider alpha particle , beta particle and gamma - rays , each having...

    Text Solution

    |