Home
Class 12
PHYSICS
We are given the following atomic masses...

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

Text Solution

Verified by Experts

The alpha decay of `._(92)^(238)U` is given by `._(Z)^(Delta)X to ._(Z-2)^(A-4)Y_(2)^(4)+ ._(2)^(4)He`. The energy released in this process is given by
`Q=(M_(U)-M_(Th)-M_(He))c^(2)`
Substituting the atomic masses as given in the data, we find
`Q=(238.05079-234.04363-4.00260)u xx c^(2)`
`= (0.00456 u)c^(2)`
`= (0.00456 u) (931.5 MeV//u)`
`= 4.25 MeV`.
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAMPLE PROBLEMS|4 Videos

  • NUCLEI

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VERY SHORT ANSWER QUESTIONS|20 Videos

  • NUCLEI

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE (VSAQ)|1 Videos

  • MOVING CHARGES AND MAGNETISHM

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise ADDITIONAL EXERCISES|26 Videos

  • RAY OPTICAL AND INSTRUMENTS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES|60 Videos

Similar Questions

Explore conceptually related problems

We are given the following atomic masses : ._(92)^(238)U = 238.05079 u " " ._(2)^(4)He=4.00260 u ._(90)^(234)Th=234.04363u " " ._(1)^(1)H=1.00783 u ._(91)^(237)Pa=237.05121 u Here the symbol Pa is for the element protactinium (Z = 91) . Show that ._(92)^(238)U cannot spontaneously emit a proton.

How much energy is released in the following reaction ? ""^(7)Li +p rarr alpha + alpha Atomic mass of ""^(7)Li = 7.0160 u and that of ""^(4)He = 4.0026 u .

The half-life of ._(92)^(238)U undergoing alpha - decay is 4.5xx10^(9) years. What is the activity of 1g sample of ._(92)^(238)U ?

If the densities of nuclei of ""_(1) H^(1) and ""_(92) U^(238) are X and Y respectively ,then correct relation is

How many disintegrations per second will Occur in one gram of ._(92)^(238)U , if its half-life against alpha - decay is 1.42xx10^(-17)s ?

Consider the D - T reaction (deuterium - tritium fusion) ._(1)^(2)H+ ._(1)^(3)H to ._(2)^(4)He + n Calculate the energy released in MeV in this reaction from the data : m(._(1)^(2)H)=2.014102 u m(._(1)^(3)H)=3.016049 u

The fission properties of ._(94)^(239)Pu are very similar to those of ._(92)^(238)U . The average energy released per fission is 180 MeV. How much energy, in MeV, is released if all the atoms in 1kg of pure ._(94)^(239)Pu undergo fission ?

The ""_(92)^(238) U disintegrates to give 4 alpha and 6 beta - particles . The atomic number of daughter element obtained is 10 x. x is ___