3. Radioactive substances decay by emitting radiation. Physicists express the rate of decay in terms of the half-life H, the time required for half of any given quantity to decay. A half-life model gives the mass m at time t in terms of initial mass mo and half-life H as m (t) = mo2-t/H t≥ 0. A sample of technetium-99m (used in biomedical imaging) decayed to 90% of its initial mass after 1 hour. (a) Determine H, the half-life for technetium-99m. (b) Determine the time required for the sample to decay to 10% of its initial mass.

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3. Radioactive substances decay by emitting radiation. Physicists express the rate of decay in terms of the
half-life H, the time required for half of any given quantity to decay. A half-life model gives the mass m at
time t in terms of initial mass mo and half-life H as
m (t) = mo2-t/H t≥ 0.
A sample of technetium-99m (used in biomedical imaging) decayed to 90% of its initial mass after 1 hour.
(a) Determine H, the half-life for technetium-99m.
(b) Determine the time required for the sample to decay to 10% of its initial mass.
Transcribed Image Text:3. Radioactive substances decay by emitting radiation. Physicists express the rate of decay in terms of the half-life H, the time required for half of any given quantity to decay. A half-life model gives the mass m at time t in terms of initial mass mo and half-life H as m (t) = mo2-t/H t≥ 0. A sample of technetium-99m (used in biomedical imaging) decayed to 90% of its initial mass after 1 hour. (a) Determine H, the half-life for technetium-99m. (b) Determine the time required for the sample to decay to 10% of its initial mass.
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