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The percentage of quantity of a radioact...

The percentage of quantity of a radioactive material that remains after 5 half-lives will be .

A

`0.3%`

B

0.01

C

0.31

D

`3.125%`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Fraction of atoms remains after five half lives
`(N)/(N_0) = ((1)/(2))^(t//T) = ((1)/(2))^(5T//T) = (1)/(32)`
rArr Percentage atom remains `= (1)/(32) xx 100 = 3.125 %`.
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