One of the dangers of radioactive fallout from a nuclear bomb is its 90Sr, which decays with a 29-year half-life. Because it has chemical properties much like those of calcium, the strontium, if ingested by a cow, becomes concentrated in the cow’s milk. Some of the 90Sr ends up in the bones of whoever drinks the milk. The energetic electrons emitted in the beta decay of 90Sr damage the bone marrow and thus impair the production of red blood cells. A 1 megaton bomb produces approximately 400 g of 90Sr. If the fallout spreads uniformly over a 2000 km2 area, what ground area would hold an amount of radioactivity equal to the “allowed” limit for one person, which is 74 000 counts/s?

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter29: Nuclear Physics
Section: Chapter Questions
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One of the dangers of radioactive fallout from a nuclear
bomb is its 90Sr, which decays with a 29-year half-life. Because
it has chemical properties much like those of calcium, the strontium,
if ingested by a cow, becomes concentrated in the cow’s milk.
Some of the 90Sr ends up in the bones of whoever drinks the milk.
The energetic electrons emitted in the beta decay of 90Sr damage
the bone marrow and thus impair the production of red blood cells.
A 1 megaton bomb produces approximately 400 g of 90Sr. If the
fallout spreads uniformly over a 2000 km2 area, what ground area would hold an amount of radioactivity equal to the “allowed” limit
for one person, which is 74 000 counts/s?

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