Assuming 1 μg of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is_____ × 10 - 1 μg . [Given : ln 10 = 2 . 303 ;   log 2 = 0 . 30 ]

Question

Assuming 1 &#956;g of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is_____ &#215; 10 - 1 &#956;g . [Given : ln 10 = 2 . 303 ; &#160; log 2 = 0 . 30 ]

Aicharya · Accepted Answer

&#955;t = ln a a - x we know that half life time t 1 / 2 &#160; = &#160; ln 2 &#955; So, &#955; &#160; = &#160; ln 2 t 1 / 2 100 = 30 ln 2 ln 1 w 100 = 30 log 2 log 1 w 100 = 30 0 . 30 log 1 w log 1 w &#160; = &#160; 1 1 w = 10 W = 0 . 1 &#956;g = 1 &#215; 10 - 1 &#956;g

Assuming 1 μg of trace radioactive element X with a half life of 30 years is absorbed by a growing tree…

Solution

Assuming 1 &#956;g of trace radioactive element X with a half life of 30 years is absorbed by a growing tree…

Solution

Assuming 1 μg of trace radioactive element X with a half life of 30 years is absorbed by a growing tree…