Half-Life (OCR Gateway GCSE Physics: Combined Science)

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Half-Life

  • It is impossible to know when a particular unstable nucleus will decay
  • But the rate at which the activity of a sample decreases can be known
    • This is known as the half-life

  • Half-life is defined as:

The time it takes for the number of nuclei of a sample of radioactive isotopes to decrease by half

  • In other words, the time it takes for the activity of a sample to fall to half its original level
  • Different isotopes have different half-lives and half-lives can vary from a fraction of a second to billions of years in length

Using Half-life

  • Scientists can measure the half-lives of different isotopes accurately:
    • This means it would take 704 million years for the activity of a uranium-235 sample to decrease to half its original amount
    • Uranium-235 has a half-life of 704 million years

Uranium atoms decay whilst the number of lead atoms increases

  • Carbon-14 has a half-life of 5700 years
    • So after 5700 years, there would be 50% of the original amount of carbon-14 remaining
    • After two half-lives, or 11 400 years, there would be just 25% of the carbon-14 remaining

  • With each half-life, the amount remaining decreases by half

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Joanna

Author: Joanna

Joanna obtained her undergraduate degree in Natural Sciences from Cambridge University and completed her MSc in Education at Loughborough University. After a decade of teaching and leading the physics department in a high-performing academic school, Joanna now mentors new teachers and is currently studying part-time for her PhD at Leicester University. Her passions are helping students and learning about cool physics, so creating brilliant resources to help with exam preparation is her dream job!

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