The energy released by the nuclear bomb that destroyed Hiroshima was equivalent to 12.4 kilotons of TNT.This is equivalent to 9.0 $\times$ 10²⁶ MeV.The mass that was converted into energy in this explosion was A)1.6 kg B)1.6 $\times$ 10^-3 kg C)1.4 $\times$ 10¹⁴ kg D)1.1 $\times$ 10¹⁰ kg E)120 kg

Question

Quizplus · Accepted Answer

The mass-energy equivalence is given by E=mc^2, where E is the energy released, m is the mass converted, and c is the speed of light. Rearranging this equation gives m=E/c^2. Plugging in the values given in the problem, we get m=(9.0x10^10 MeV)/(c^2), where c is approximately 3x10^8 m/s. Converting MeV to kg using the conversion factor 1.78x10^-30 kg/MeV gives m=(9.0x10^10x1.78x10^-30)/(3x10^8)^2 kg, which simplifies to m=1.6x10^-3 kg or 1.6 milligrams. Therefore, the best choice is B.

The Energy Released by the Nuclear Bomb That Destroyed Hiroshima ×\times×

The Energy Released by the Nuclear Bomb That Destroyed Hiroshima $\times$