TS EAMCET · Physics · Semiconductors

If $5 mg$ of ${}^{235}U$ is completely destroyed in an atom bomb, then approximate total energy released is (given that the energy released per fission is $200 MeV$ )

A $4 \times 10^{8} J$
B $6 \times 10^{9} J$
C $5 \times 10^{7} J$
D $3 \times 10^{10} J$

Verified Solution

Answer & Solution

Correct Answer

(A) $4 \times 10^{8} J$

Step-by-step Solution

Detailed explanation

Number of uranium atom is, N=NA235×5×10-3 ⇒N=6.022×1023235×5×10-3=1.28×1019 To energy in this fission is, E=N×200 MeV ⇒E=1.28×1019×200×106×1.6×10-19 J ⇒E≈4×108 J

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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If 5 mg of U235 is completely destroyed in an atom bomb, then approximate total energy released is (given that the energy released per fission is 200 MeV)

Step-by-step Solution

If $5 mg$ of ${}^{235}U$ is completely destroyed in an atom bomb, then approximate total energy released is (given that the energy released per fission is $200 MeV$ )