Question

How much amount of matter will produce $9\times {10}^{16}$ J of energy during a nuclear fission reaction?

• A. 1000 kg
• B. 1 kg
• C. 3 kg
• D. 18 kg

Answer 1

The correct option is B

1 kg

According to Einstein, Energy released during a nuclear fission reaction is = $m\times c^2$, where m is the amount of matter and c is the velocity of light.

Energy produced= $9\times {10}^{16}$ J and velocity of light is $3\times {10}^8$

Energy produced= Amount of matter $\times$ $(Velocityoflight{)}^2$

Amount of matter= $\frac{Energyproduced}{(Velocityoflight{)}^2}$

Amount of matter= $\frac{9\times {10}^{16}}{9\times {10}^{16}}$

Amount of matter= 1 kg