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Q.50

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1237

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Short Answer

A 115 mCi radioactive tracer is made in a nuclear reactor. When it is delivered to a hospital 16 hours later its activity is 95 mCi. The lowest usable level of activity is 10 mCi.

a. What is the tracer’s half-life?

b. For how long after delivery is the sample usable?

Activity of a radioactive substance after a time t

R=Ro

Here, t is the time, R is final activity and Ro is initial activity, and is the disintegration constant.

See the step by step solution

Step by Step Solution

Substitute 115 mCi for Ro 95 mCi for R

here it is.

The half-time is

Therefore,

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