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The half-life of a radioactive element i...

The half-life of a radioactive element is 10 hours. How much will be left after 4 hours in 1 g atom sample ?

A

`45.6 xx 10^(23)` atoms

B

`4.56 xx 10^(23)` atoms

C

`4.56 xx 10^(24)` atoms

D

`4.56 xx 10^(25)` atoms

Text Solution

Verified by Experts

The correct Answer is:
B
`N_t = N_0 (1/2)^(n)`
`n = 4//10`
`:. N_t = 6.022 xx 10^(23) xx (1/2)^(0.4) = 4.56 xx 10^(23)`
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