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It is estimated that the energy released in the atomic bomb explosion at Hiroshima was $9 \times 10^{13} J$ . If 200 MeV is the energy released on an average in the fission of $_{92} U^{235}$ , the mass of uranium used in the making of that bomb must be nearly

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100 kg

10 kg

1 kg

0.1 kg

answer is C.

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Detailed Solution

No.of nuclei in ‘A’ gm = $N_{A}$

No.of nuclei in ‘M’ gm $= \frac{m N_{A}}{A}$

Energy released

$E^{1} = No.of nuclei x E_{each}$

$E^{1} = (\frac{M N_{A}}{A}) . E$

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