Nucleus A is having mass number 220 and its binding energy per nucleon is 5 . 6   MeV . It splits in…

Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments B and C of mass numbers 105 and 115. The binding energy of nucleons in B and C is 6.4 MeV per nucleon. The energy Q released per fission will be:
  1. 0.8MeV
  2. 275MeV
  3. 220MeV
  4. 176MeV

Solution

The total binding energy of nucleus A is,

EA=220×5.6=1232 MeV

The total binding energy of B and C combined is,

EB+EC=105×6.4+115×6.4=1408 MeV

Therefore, the energy released per fission is,

Q=EB+EC-EA=1408-1232=176 MeV

Asked in: JEE Main 2022 (24 Jun Shift 1)

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