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Half life problems



Class 10 Physics solved Important Problems and Examples Chapter half life of isotopes for youtube videos

Sure, here are some important problems and examples related to the chapter "Half Life of Isotopes" in Class 10 Physics:
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A radioactive isotope has a half-life of 10 years. If the initial activity of the sample is 500 Bq, what is its activity after 40 years?

Solution: After the first 10 years, the activity will be reduced to half, i.e., 250 Bq. After the second 10 years, the activity will be reduced to half again, i.e., 125 Bq. After the third 10 years, the activity will be reduced to half again, i.e., 62.5 Bq. After the fourth 10 years, the activity will be reduced to half again, i.e., 31.25 Bq.
Therefore, the activity after 40 years is 31.25 Bq.

The half-life of a radioactive isotope is 5 days. If the initial activity of the sample is 8000 Bq, what is its activity after 15 days?

Solution: After the first 5 days, the activity will be reduced to half, i.e., 4000 Bq. After the second 5 days, the activity will be reduced to half again, i.e., 2000 Bq. After the third 5 days, the activity will be reduced to half again, i.e., 1000 Bq.
Therefore, the activity after 15 days is 1000 Bq.

The half-life of a radioactive isotope is 8 hours. If the initial activity of the sample is 1000 Bq, what is its activity after 24 hours?

Solution: Since the half-life of the isotope is 8 hours, the activity will be reduced to half every 8 hours. After the first 8 hours, the activity will be reduced to half, i.e., 500 Bq. After the second 8 hours, the activity will be reduced to half again, i.e., 250 Bq. After the third 8 hours, the activity will be reduced to half again, i.e., 125 Bq.
Therefore, the activity after 24 hours is 125 Bq.

A radioactive isotope has a half-life of 12 years. If the activity of the sample is 2000 Bq, what was its activity 36 years ago?

Solution: Since the half-life of the isotope is 12 years, the activity will be reduced to half every 12 years. After the first 12 years, the activity will be reduced to half, i.e., 1000 Bq. After the second 12 years, the activity will be reduced to half again, i.e., 500 Bq. After the third 12 years, the activity will be reduced to half again, i.e., 250 Bq.
Therefore, the activity 36 years ago was 250 Bq.
These are some examples and problems related to the chapter "Half Life of Isotopes" in Class 10 Physics.