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Q.

Cobalt-57 is radioactive, emitting  β-particles. The half life for this is 270 days. If 100 mg of this is kept in an open container, then what mass (in mg) of Cobalt-57 will remain after 540 days ?

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answer is 25.

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Detailed Solution

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Here T1/2=270 days

After 540 days, it means two half lives have been completed, i.e,  n = 2

NN0=(12)n⇒mm0=(12)n

⇒m100=14⇒m=25 mg

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