A nucleus with mass number 240 breaks into two fragments, each of mass number 120. The binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. Energy released in the process is (a) 216 MeV (b) 0.9 MeV (c) 9.4 MeV (d) 804 MeV
By BYJU'S Exam Prep
Updated on: September 13th, 2023
It is given that
The mass number of nucleus = 240
Binding energy per nucleon = 7.6 MeV
The mass number of products = 120
Binding energy per nucleon of products = 8.5 MeV
Table of content
We know that
The total gain in binding energy = Binding energy of products – Binding energy of reactants
Substituting the values
= [120 + 120] x 8.5 – [240 x 7.6]
= 240 x 8.5 – 240 x 7.6
So we get
= 240 x 0.9
= 216 MeV
Therefore, the energy released in the process is 216 MeV.
Summary:
A nucleus with mass number 240 breaks into two fragments, each of mass number 120. The binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. Energy released in the process is
(a) 216 MeV
(b) 0.9 MeV
(c) 9.4 MeV
(d) 804 MeV
A nucleus with mass number 240 breaks into two fragments, each of mass number 120. The binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. Energy released in the process is 216 MeV.
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