Atoms And Nuclei Question 258

Question: If in a nuclear fission, piece of uranium of mass 0.5 g is lost, the energy obtained in kWh is [Pb. PET 2003]

Options:

A) $ 1.25\times 10^{7} $

B) $ 2.25\times 10^{7} $

C) $ 3.25\times 10^{7} $

D) $ 0.25\times 10^{7} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ E=\Delta mc^{2}=0.5\times {{10}^{-3}}\times {{(3\times 10^{8})}^{2}}=4.5\times 10^{13}j $
$ \Rightarrow E=\frac{4.5\times 10^{13}}{3.6\times 10^{6}}=1.25\times 10^{7}kWH. $



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