Question
Download Solution PDFFor a radioactive material, half life is 10 minutes. If initially there are 600 number of nuclei, the time taken in minutes for the disintegration of 450 nuclei is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- Radioactive substances are those which decay by itself by emitting radioactive rays that is alpha, beta and gamma rays.
- The duration of time in which the amount of radioactive substance reduces to half of its initial amount is known as half life.
- Formula of half life of a radioactive substance is
- Half life =
- where λ is decay constant.
Calculation:
Given:
Initial number of nuclei, N0=600
Number of nuclei remaining, N = 600 – 450 = 150
Using the formula
In the above equation, n =
t = 2t1/2 = 2 × 10
= 20 minute
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