In a certain nuclear event, the total energy released is 9 10¹³ J . The equivalent mass destroyed to produce this energy is:

Step-by-step solution

From the mass-energy equivalence principle, the energy released is given by E = mc^2 . Rearranging for mass m : m = E c^2 Given E = 9 10¹³ J and the speed of light c = 3 10^8 m/s : m = 9 10¹³ (3 10^8)^2 m = 9 10¹³ 9 10¹⁶ m = 10⁻³ kg Converting kilograms to grams: m = 10⁻³ 10^3 g = 1 g Answer: 1 g