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Q.

Gadolinium- 153, which is used to detect osteoporosis, has a half life of 242 days. After how many days, on an average, a nuclide can be considered absent from patient's system?

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a

Infinity

b

350 days

c

242 days

d

4×10−3 days

answer is B.

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Detailed Solution

t1/2=242 days To find the disintegration of any radioactive element, average life time is being used. So, tav=1k=t1/20.693=349.2 days ≈350 days .

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Gadolinium- 153, which is used to detect osteoporosis, has a half life of 242 days. After how many days, on an average, a nuclide can be considered absent from patient's system?