The fission type of warhead of some guided missiles is estimated to be equivalent to `30000` tons of `TNT`. If `3.5 xx10^(8) J` of energy is released by one tone of expolining `TNT`, how many fissions occur in the explosions of warhead? An energy of `200 MeV` is released by fission of one atom of `.^(235)U` .

Answer

`3.28xx 10^(23)`

Explanation

Energy released by warhed =3000 tons of TNT =`(3.5 xx10^(8)`
`(30000)=10.5 xx 10^(12)J`
Number of fusions in warhead
`(10.5 xx 10^(12))/((200 xx 10^(6))(1.6 xx 10^(-19))) =3.28 xx10^(23)`.