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5. If tp and I are the times required for a radioactive material to decay to 1/p and 1/4 times its original mass (respectively), how are tp and to related?

5. If tp and I are the times required for a radioactive material to decay to 1/p and 1/4 times its original mass (respectively), how are tp and to related?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. If tp and to are the times required for a radioactive material to decay to 1/p and 1/4 times its original mass (respectively), how are tp and to related?
Transcribed Image Text:5. If tp and to are the times required for a radioactive material to decay to 1/p and 1/4 times its original mass (respectively), how are tp and to related?
Expert Solution
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Sol:-

The relationship between tp and tq can be derived from the general formula for the decay of a radioactive substance, which is:

m = mo * exp(-λt)

where m is the mass of the radioactive substance at time t, mo is the initial mass of the substance, λ is the decay constant, and exp(-λt) is the decay factor.

 

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