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# Physics (Nuclear)

26) Strontium-90, or Sr , which has a half-life of 28.9 years and neutral atomic mass 89.908 u, is an
especially dangerous radionuclide resulting from the fallout of a nuclear bomb. The danger arises
because &quot;Sr is chemically similar to calcium, and if ingested by a cow, then ? Sr appears in the
cow's milk, and then in the bones of whoever drinks the milk. The beta particles emitted by 38 S
damage the bone marrow and reduce production of red blood cells.
a) The maximum &quot;allowed&quot; activity a person should be exposed to is 74,000 Bq. How many 38 S
atoms (nuclei) would cause this activity?
b) Suppose 400 grams of Sr is released in the explosion of a one-megaton bomb. How many 3: S
atoms is this?
c) Say the explosion spreads this 400 grams of Sr uniformly over a 2000 km area. How much
area, in cm , would contain the maximum number of atoms one person should be exposed to?
d) How does this area compare to the area of this sheet of paper, which is about 600 cm-?

Solutions
We are given -
Half-life of 38 5r = 28- 9 years
Atomic mass
= 89, 908 1
( a ) the maximum allowed activity a person should be
exposed to 74,000 Bg
We know that decay constant Is given by...

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