A uranium nucleus fissions in two spherical fragments of charge 38e and 54e and radii 5.5 ´ 10-15 m and 6.2 10-15 m, respectively. Assume that the charge is distributed uniformly throughout the volumes, that just before separation each fragment is at rest, and that fragments surfaces are in contact. The electric potential energy of two spherical fragments in MeV (1 MeV = 1.6 10-13 J) is O 1.0 MeV. 220 MeV. 15 MeV. 250 MeV.

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A uranium nucleus fissions in two spherical fragments of charge 38e and 54e
and radii 5.5-10-15 m and 6.2 10-15 m, respectively. Assume that the charge is
distributed uniformly throughout the volumes, that just before separation each
fragment is at rest, and that fragments surfaces are in contact. The electric
potential energy of two spherical fragments in MeV (1 MeV = 1.6 10-13 J) is
O 1.0 MeV.
220 MeV.
15 MeV.
250 MeV.
80 MeV.
Transcribed Image Text:A uranium nucleus fissions in two spherical fragments of charge 38e and 54e and radii 5.5-10-15 m and 6.2 10-15 m, respectively. Assume that the charge is distributed uniformly throughout the volumes, that just before separation each fragment is at rest, and that fragments surfaces are in contact. The electric potential energy of two spherical fragments in MeV (1 MeV = 1.6 10-13 J) is O 1.0 MeV. 220 MeV. 15 MeV. 250 MeV. 80 MeV.
Expert Solution
Step 1

Given, charge of the fragment q1=38e and q2=54e

Radii,r1=5.5×10-15 m and r2=6.2×10-15 m

Here e=1.6×10-19

Distance between the center of both fragment,r1+r2=5.5×10-15+6.2×10-15=11.7×10-15m

Take before separation each fragment is at rest and that fragment surface is in contact then potential energy is given by

P.E=9×109q1q2(r1+r2)

 

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