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Beta Decay

A radio activ...

Question

A radio active sample contains $600$ radio active atoms. Its half life period is $30$ minutes. The no. of radio active atoms remaining, if the decay occurs for $90$ minutes is

A

300

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B

200

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C

400

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D

75

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Solution

The correct option is D $75$
$t_{1 / 2} = 30 m i n$

Decay time $= 90 m i n$ $= 3 {t y}_{2}$

No. of radio active atoms left $= (\frac{1}{2})^{3} \times 600$ $= 75$

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