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Question

87Ra221 undergoes radioactive decay with a half life of 4 days. The probability that a Ra nucleus will disintegrate in 8 days is

A
14
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B
12
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C
34
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D
1
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Solution

The correct option is C 34
Given, t=8 days; T1/2=4 days

Number of half-days life,

n=tT1/2=84=2

Remaining atom :

N=N02n=N022=N04

Number of decayed atoms =N0N
=N0N04=3N04

Probability of decay,

N0NN0=(3N04)N0=34

Hence, (C) is the correct answer.

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