The fission bomb that was dropped on the Japanese city of Hiroshima in 1945 contained approximately 64 kg of $_{92}^{235} U$ and released an amount of energy equivalent to the explosion of approximately 15,000 tons of TNT (called ’15-keloton bomb’)
[Given, energy released by 1 ton of TNT $= 3.5 \times 10^{8} J$ ]

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the explosion can cause harmful release of energy known as nuclear holocaust

The destructive form of release of energy known as atomic bomb explosion gives large amount of energy in a very small interval of time

All the 64 kg of $_{92}^{235} U$ undergoes fission

only 1% (nearly) out of 64 kg undergoes fission

answer is B, C, D.

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Detailed Solution

1 ton of TNT releases energy $= 3.5 \times 10^{8} J$
15000 tons of TNT releases energy $= 15000 \times 3.5 \times 10^{8} J$
$= 52.5 \times 10^{11} J$
1 atom $= 200 \times 1.6 \times 10^{- 13} J$
$∴$ No of atoms $= \frac{52.5 \times 10^{11}}{200 \times 1.6 \times 10^{- 13}}$
$N = 16.4 \times 10^{22}$
$m a s s = (\frac{N}{N_{A}} \times 0.235) kg$
$= \frac{16.4 \times 10^{22}}{6.023 \times 10^{23}} \times 0.235 k g$
= 0.64 kg