Calculate the force between two fission fragments of equal masses and sizes that are produced in the fission of ${}_{94}^{239}{Pu}$ (by a thermal neutron) in which 4 neutrons are emitted. Given R₀ = 1.2 fm.

Solution

The undertaking fission process can be wriiten as :

   ${}_{94}^{239}{Pu} + {}_{0}^{1}n \to 2 {}_{47}^{118}X + 4 {}_{0}^{1}n + Q$

Total mass number of ${}_{94}^{239}{Pu}$ and neutron = 240

Mass number of each fragment = $\frac{240 - 4}{2} = 118$

Atomic number of each fragment = $\frac{94}{2} = 47$

Radius of each nucleus formed by the fission of ${}_{94}^{239}{Pu}$ is,

$R = R_{0} A^{1 / 3}$

   $= 1.2 \times 10^{- 15} \times (118)^{1 / 3} = 5.886 \times 10^{- 15} m$

Distance between the centre of the two fragments $= 2 \times 5.886 \times 10^{- 15} m = 11.77 \times 10^{- 15} m$

Electrostatic force between them is given by Coulomb's law,
   $F = \frac{1}{4 {πε}_{o}} \frac{q_{1} q_{2}}{r^{2}}$

Therefore,

F $= \frac{1}{4 {πε}_{0}} \frac{(47 \times 1.6 \times 10^{- 19})^{2}}{(11.77 \times 10^{- 15})^{2}} = 3.763 \times 10^{3} N .$

For Daily Free Study Material Join wiredfaculty

Wave Optics

Calculate the force between two fission fragments of equal masses and sizes that are produced in the fission of ${}_{94}^{239}{Pu}$ (by a thermal neutron) in which 4 neutrons are emitted. Given R₀ = 1.2 fm.

Some More Questions From Wave Optics Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Wave Optics

Calculate the force between two fission fragments of equal masses and sizes that are produced in the fission of Pu94239 (by a thermal neutron) in which 4 neutrons are emitted. Given R0 = 1.2 fm.

Some More Questions From Wave Optics Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Calculate the force between two fission fragments of equal masses and sizes that are produced in the fission of ${}_{94}^{239}{Pu}$ (by a thermal neutron) in which 4 neutrons are emitted. Given R₀ = 1.2 fm.