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Question: The ratio activity of an element becomes 1/64<sup>th</sup> of its original value in 60 sec. Then the...

The ratio activity of an element becomes 1/64th of its original value in 60 sec. Then the half life period is-

A

5 sec

B

10 sec

C

20 sec

D

30 sec

Answer

10 sec

Explanation

Solution

A.P = 164\frac { 1 } { 64 } = (n = 6) t = n T1/2 ̃ T1/2 = tn\frac { \mathrm { t } } { \mathrm { n } } = 606\frac { 60 } { 6 }

= 10 sec