Question 380: Dual Nature of Matter and Radiation

Question

When $${ }_{92} \mathrm{U}^{235}$$ undergoes fission, $$0.1 \%$$ of its original mass is changed into energy. How much energy is released if $$5 \mathrm{Kg}$$ of $${ }_{92} \mathrm{U}^{235}$$ undergoes fission?

Accepted Answer

Mass of uranium converted into energy,
$$m=\frac{0.1}{100} 	imes 5=5 	imes 10^{-3} \mathrm{~kg}$$
Energy released,
$$\begin{aligned}
& E=m c^2=\left(5 	imes 10^{-3}ight)\left(3 	imes 10^8ight)^2 \\
& E=45 	imes 10^{13} \mathrm{~J}
\end{aligned}$$

Answer

$$45 	imes 10^{10} \mathrm{~J}$$

Answer

$$45 	imes 10^{11} \mathrm{~J}$$

Answer

$$45 	imes 10^{12} \mathrm{~J}$$

Answer

$$45 	imes 10^{13} \mathrm{~J}$$

Dual Nature of Matter and Radiation

When ${ }_{92} \mathrm{U}^{235} undergoes fission, 0.1 \% of its original mass is changed into energy. How much energy is released if 5 \mathrm{Kg} of { }_{92} \mathrm{U}^{235}$ undergoes fission?

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