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Question

Question: The half life of a certain radioactive element is 1 year. The percentage of the radioactive element ...

The half life of a certain radioactive element is 1 year. The percentage of the radioactive element decayed in 6 months will be–

A

29.3 %

B

39.5 %

C

70.5 %

D

14.5%

Answer

29.3 %

Explanation

Solution

N = N0 e–lt

= N0

= N0

N =

Decayed = N0 – N = N0 (1 – 12\frac { 1 } { \sqrt { 2 } })= N0 (1 – 0.707) = 0.293 N0 ̃ 29.3%