Home
Class 12
PHYSICS
Calculate the amount of energy released ...

Calculate the amount of energy released during the `alpha`-decay of
`._(92)^(238)Urarr_(90)^(234)Th+._(2)^(4)He`
Given: atomic mass of `._(92)^(238)U=238.05079 u`, atomic mass of `._(90)^(234)Th=234.04363 u`,
atomic mass `._(2)^(4)He=4.00260u , 1u=931.5 MeV//c^(2)`. Is this decay spontaneous?Give reason.

Text Solution

Verified by Experts

B.E `=[""^(m)(""_(92)U^(238))-""^(m)(""_(90)Th^(234)) - ""^(m)(""_(2)He^(4))]c^(2)`
`=(238.05079 - 234.04363 - 4.00260)931 MeV`
`=0.0045 xx 931 = 4.24` MeV
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    MODERN PUBLICATION|Exercise COMPETITION FILE (OBJECTIVE TYPE QUESTIONS) (MULTIPLE CHOICE QUESTIONS)|20 Videos

  • NUCLEI

    MODERN PUBLICATION|Exercise COMPETITION FILE (AIPMT/NEET & OTHER STATE BOARDS FOR MEDICAL ENTRANCES )|31 Videos

  • NUCLEI

    MODERN PUBLICATION|Exercise REVISION EXERCISES (LONG ANSWER QUESTIONS)|7 Videos

  • MOVING CHARGES AND MAGNETISM

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|13 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

Calculate the energy released in MeV in the following nuclear reaction : ._(92)^(238)Urarr._(90)^(234)Th+._(2)^(4)He+Q ["Mass of "._(92)^(238)U=238.05079 u Mass of ._(90)^(238)Th=234.043630 u Massof ._(2)^(4)He=4.002600 u 1u = 931.5 MeV//c^(2)]

Find energy released in the alpha decay, Given _92^238Urarr_90^234Th+_2^4He M( _92^238U)=238.050784u M( _90^234Th)=234.043593u M( _2^4He)=4.002602u

Alpha decay of ._(92)^(238)U forms ._(90)^(234)Th . What kind of decay from ._(90)^(234)Th produces ._(84)^(234)Ac ?

Calculate the energy released in fusion reaction : 4._(1)^(1)Hto._(2)^(4)He+2._(+1)^(0)e Given : mass of ._(1)^(1)H=1.007825u , mass of ._(2)^(4)He=4.00260 u and 1u=931.5 MeV Neglect the mass of positron (._(+1)^(0)e) .

The radioactive decay of uranium into thorium is represented by the equation: ._(92)^(238)Urarr._(90)^(234)Th+x What is x ?

We are given the following atomic masses: ._(92)^(238)U=238.05079u ._(2)^(4)He=4.00260u ._(90)^(234)Th=234.04363u ._(1)^(1)H=1.00783u ._(91)^(237)Pa=237.05121u Here the symbol Pa is for the element protactinium (Z=91)

MODERN PUBLICATION-NUCLEI-REVISION EXERCISES (NUMERICAL PROBLEMS)
  1. Find the ratio of nuclear radii of two elements""(12)Mg^(24) and ""(1)...

    Text Solution

    |

  2. Calculate the amount of energy released during the alpha-decay of .(...

    Text Solution

    |

  3. The half life of .92^238U undergoing alpha-decay is 4.5xx10^9 years. T...

    Text Solution

    |

  4. Define the term 'decay constant' of a radioactive sample. The of disin...

    Text Solution

    |

  5. Calculate the energy equivalent of 2 g of a substance.

    Text Solution

    |

  6. A radioactive substance has a half-life period of 40 days. Calculate t...

    Text Solution

    |

  7. Tritium has a half-life of 12.5 years. What fraction of the sample wil...

    Text Solution

    |

  8. Find the activity of 1 g sample of ""(84)Po^(210). The half-life of ""...

    Text Solution

    |

  9. Find the amount of ""(92)U^(238) required to produce a-particles of 2...

    Text Solution

    |

  10. Find the kinetic energy of emitted a-particles in the following nuclea...

    Text Solution

    |

  11. The mass defect is 0.5% in a nuclear fusion reaction. Find the energy ...

    Text Solution

    |

  12. Find the number of fissions required to produce a power of 2,000 W, if...

    Text Solution

    |

  13. Two radioactive substances X and Y initially contain an equal number o...

    Text Solution

    |

  14. (a) Write the relation between half-life and average life of a radioac...

    Text Solution

    |

  15. Find the activity of 1.00 mg of radon Rn^222, whose atomic mass is 222...

    Text Solution

    |

  16. Calculate the energy in fusion reaction: ""(1)H^(2) + ""(1)H^(2) to...

    Text Solution

    |

  17. A radioactive sample has a half-life of 4 years. Calculate the time in...

    Text Solution

    |

  18. In how many years 1 g of pure radium will be reduced to 1 milligram? T...

    Text Solution

    |