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Question

Question: A freshly prepared radioactive source of half-life 2 hr emits radiation of intensity which is 64 tim...

A freshly prepared radioactive source of half-life 2 hr emits radiation of intensity which is 64 times the permissible safe level. The minimum time after which it would be possible to work safely with this source is –

A

6 h

B

12h

C

24 h

D

128h

Answer

12h

Explanation

Solution

NN0=164=(12)6=(12)tT\frac { \mathrm { N } } { \mathrm { N } _ { 0 } } = \frac { 1 } { 64 } = \left( \frac { 1 } { 2 } \right) ^ { 6 } = \left( \frac { 1 } { 2 } \right) ^ { \frac { \mathrm { t } } { \mathrm { T } } } t = 6T = 12 hr