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80% of the radioactive nuclei present in...

80% of the radioactive nuclei present in a sample is found to remain undecayed after one day. The percentage of undecayed nuclei left after two days will be
a. 64 b. 20 c. 46 d. 80

A

a. 64

B

b. 20

C

c. 46

D

d. 80

Text Solution

Verified by Experts

The correct Answer is:
a. 64

`lambda = (2.303)/(t) log ((N_(0))/(N))`
`= (2.303)/(1) log ((100)/(80)) [t = 1 "day"]`
`lambda = (2.303)/(2) log ((100)/(80)) [t = 2 "days"]`
`(2.303)/(1) log ((100)/(80)) = (2.303)/(2) log ((100)/(N))`
`((5)/(4))^(2) = (100)/(N)`
`N = 64`
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