The decay constant of certain radioactive material is 2.76 x 10^-7s^-1. What is its half-life period?

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Jean KeelingLv2

2 Jan 2019

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Which of the following statements are true about decay rates andhalf-lives?

1)Much of the heat generated near the core of Earth is believed tobe due to radioactive decay.
2)A large decay constant implies a short half-life.
3)Radioactive nuclei decay over time according to an exponentialdecay law.
4)Half-life is the time it takes for a radioactive sample to decayaway to nothing.
5)A large decay constant means that the isotope has a lowactivity.
6)In carbon dating, the radioactive isotope of carbon that is usedis carbon-14 (14C).

What is the decay constant (gamma) of a radioactive material ofhalf-life 2 minutes?

A freshly prepared sample of a certain radioactive isotope hasanactivity of 10.0 mCi. After 3.90 h, the activity is 8.80 mCi.

(a) Find the decay constant and half-life of the isotope.

Î» =	h^-1
T_1/2 =	h

(b) How many atoms of the isotope were contained in thefreshlyprepared sample?

atoms

(c) What is the sample's activity 30 h after it is prepared?

mCi

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The decay constant of certain radioactive material is 2.76 x 10^-7s^-1. What is its half-life period?

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Physics: Principles with Applications

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