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

31

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3.125

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0.3

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1

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Solution

The correct option is B $3.125$ %
Quantity remaining after ' $n$ ' half lives would be: $\frac{1}{2^{n}}$
Hence, after $5$ half lives the quantity that would remain would be:
$\frac{1}{32}$ which is $3.125$ %

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Similar questions

Question 140(ii)

Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression $3^{- t}$ .
After how many half-lives will the fraction be $\frac{1}{243}$ of the original?

Q. A given sample contains

16 g m s

of radioactive material whose half life is two days. The quantity of radioactive material that remains in that sample after

32

days will be

Question 140(ii)

Q. How much quantity of radioactive substance will remain in decayed after 5 half-lives period ?

Question 140(i)

Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression $3^{- t}$
What frcation of the substance remains after 7 half-lives?

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

The correct option is B 3.125%Quantity remaining after 'n' half lives would be: 12nHence, after 5 half lives the quantity that would remain would be:132 which is 3.125%

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

The correct option is B $3.125$ %
Quantity remaining after ' $n$ ' half lives would be: $\frac{1}{2^{n}}$
Hence, after $5$ half lives the quantity that would remain would be:
$\frac{1}{32}$ which is $3.125$ %