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Question: The half life of <sup>198</sup>Au is 2.7 days. The probability that any <sup>198</sup>Au nucleus wil...

The half life of 198Au is 2.7 days. The probability that any 198Au nucleus will decay in one second is-

A

10–6

B

3 × 10–6

C

5 × 10–6

D

10–5

Answer

3 × 10–6

Explanation

Solution

Decay probability per second is just the decay constant

l = = 0.6932.7 days \frac { 0.693 } { 2.7 \text { days } }

l = 0.6932.7×24×60×60\frac { 0.693 } { 2.7 \times 24 \times 60 \times 60 }

l = 2.97 × 10–6/sec