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Find the binding energy per nucleon of 235U based on the information given below. - Physics (Theory)

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प्रश्न

Find the binding energy per nucleon of 235U based on the information given below.

  Mass(u)
mass of neutral `""_92^235"U"` 235.0439
mass of a proton 1.0073
mass of a neutron 1.0087
संख्यात्मक

उत्तर

mass of protons (mp) = 92 × 1.0073u = 92.6716u

mass of neutrons (mn) = 143 × 1.0087u = 144.2441u

Total mass (mp + mn) = 236.9157u

mass defect = Δm = 236.9157u – 235.0439u

=1·8718u

Binding energy = Δm × 931.5

MeV = 1.8718 × 931.5

MeV = 1743.6 MeV

Binding energy per nucleon = `(1743.6  "MeV")/ 235`

= 7.42 MeV

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