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A sample has 4 xx 10^16 radioactive nucl...

A sample has `4 xx 10^16` radioactive nuclei of half-life `10` days. The number of atoms decaying in `30` days is.

A

`3.9 x 10^16`

B

`5 xx 10^15`

C

`10^16`

D

`3.5 xx 10^16`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `N = 4 xx 10^16 ((1)/(2))^((30)/(10)) = (1)/(2) xx 10^16`
Atoms decayed `= 4 xx 10^16 - (1)/(2) xx 10^16`
=`3.5 xx 10^16`.
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