Question

The fission type of warhead of some guided missiles is estimated to be equivalent to 30000 tons of TNT. If $3.5\times {10}^8$J of energy is released by one ton of exploding TNT, how many fissions occur in the explosion of warhead? An energy of 200 MeV is released by fission of one atom of ${}^{235}U$:

Answer 1

Total energy $=\frac{30000\times 3.5\times {10}^8}{1.6\times {10}^{-13}}=6.5\times {10}^{25}MeV$

No. of fissions $=\frac{6.5\times {10}^{25}}{200}=3.25\times {10}^{23}$