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Question: If one starts with one curie of radioactive substance (T<sub>1/2</sub> = 12 hrs) the activity left a...

If one starts with one curie of radioactive substance (T1/2 = 12 hrs) the activity left after a period of 1 week will be about –

A

1curie

B

120 micro curie

C

60 micro curie

D

8 mili curie

Answer

60 micro curie

Explanation

Solution

t = 1 week = 7 × 24 hrs

T1/2 = 12 hrs ; R0 = 1 Cin = tT1/2\frac { \mathrm { t } } { \mathrm { T } _ { 1 / 2 } } =7×2412\frac { 7 \times 24 } { 12 }= 14 ;

R = R02n\frac { \mathrm { R } _ { 0 } } { 2 ^ { \mathrm { n } } } =1214\frac { 1 } { 2 ^ { 14 } } Ci