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Question: The half-life of radioactive Radon is 3.8 days. The time at the end of which (1/20)<sup>th</sup> of ...

The half-life of radioactive Radon is 3.8 days. The time at the end of which (1/20)th of the Radon sample will remain undecayed is (given log10 e = 0.4343) –

A

13.8 days

B

16.5 days

C

53 days

D

76 days

Answer

16.5 days

Explanation

Solution

Use N = N0e–lt

so t = 1λ\frac { 1 } { \lambda } loge (N0 N)\left( \frac { \mathrm { N } _ { 0 } } { \mathrm {~N} } \right)