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Question

Which of the following statement is correct?


A
Fusion of 1 gram of hydrogen gives more energy than fission of 1 gram of uranium 235
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B
Fusion of 1 gram of hydrogen gives less energy than fission of 1 gram of uranium 235
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C
Fusion of 1 gram of hydrogen gives same energy as in fission of 1 gram of uranium 235
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D
Fusion of 1 gram of uranium gives less energy than combustion of 1 ton of coal
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Solution

The correct option is A Fusion of 1 gram of hydrogen gives more energy than fission of 1 gram of uranium 235
Fusion of 1 g of hydrogen generates $$6.4 \times 10^{11}$$ Joule.
Whereas the fission of one atom of U-235 generate $$  202.5 MeV= 3.244\times 10^{11} J$$
Now, 235 gm of Uranium contains $$= 6.023\times 10^{23} $$ atom.
Since 1 gm of uranium contains $$\dfrac{6.023\times 10^{23}}{235}$$
Hence, fission of 1 gm of 0.235 generates $$= \dfrac{6.023\times 10^{23}}{235}\times 3.244\times 10^{-11} J = 8.31\times 10^{10}J$$
$$4_1H^1\rightarrow _2He^4+2_1e^0$$

Physics

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