Q89 / 90 · JEE Main 2024 (29 Jan Shift 1) · Physics

The explosive in a Hydrogen bomb is a mixture of H21,H31 and Li63 in some condensed form. The chain reaction is given by Li63+n10→He42+H31;  H21+H31→He42+n10

During the explosion the energy released is approximately [Given : M(Li)=6.01690 amu, MH21=2.01471 amu, MHe42=4.00388 amu and 1 amu=931.5 MeV]

  • A
    28.12MeV
  • B
    12.64MeV
  • C
    16.48MeV
  • Correct answer
    D
    22.22MeV

Solution

Combining the reactions, it can be written that

Li63+n10→He42+H31

H21+H31→He42+n10

_____________________Li63+H21→2He42

Hence, the energy released in process can be calculated as follows

Q=Δmc2=M(Li)+MH21-2×MHe42×931.5 MeV=[6.01690+2.01471-2×4.00388]×931.5 MeV=22.22 MeV

Hence, the correct answer is option: 'D'.

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