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JEE Main 202224 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Morning Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2022 · 24 June · Morning Shift · Physics · Nuclear Physics

Nucleus A is having mass number 220 and its binding energy per...

Nucleus AA is having mass number 220220 and its binding energy per nucleon is 5.6MeV5 . 6MeV. It splits in two fragments BB and CC of mass numbers 105105 and 115115. The binding energy of nucleons in BB and CC is 6.4MeV6 . 4MeV per nucleon. The energy QQ released per fission will be:

Options

  1. A0.8MeV0 . 8MeV
  2. B275MeV275MeV
  3. C220MeV220MeV
  4. D176MeV176MeV

Correct answer

D. 176MeV176MeV

Step-by-step solution

The total binding energy of nucleus AA is,

EA=220×5.6=1232MeV{E}_{A} = 220 \times 5 . 6 = 1232MeV

The total binding energy of BB and CC combined is,

EB+EC=105×6.4+115×6.4=1408MeV{E}_{B} + {E}_{C} = 105 \times 6 . 4 + 115 \times 6 . 4 = 1408MeV

Therefore, the energy released per fission is,

Q=EB+EC−EA=1408−1232=176MeVQ = {E}_{B} + {E}_{C} - {E}_{A} = 1408 - 1232 = 176MeV

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