2 g of a radioactive sample having half life of 15 days was synthesised on 1st Jan 2009. The amount of the smaple left behind on 1st March, 2009 (including btoh the days)

Options

A. 0.124 g
B. 1 g
C. 0.5 g
D. 0 g

Answer

A

Explanation

(A) Number of days from `1^(st)` Jan 2009 to `1^(st)` March 2009 ( including both the days ) = 60 days .
Number of half lives in 60 days `= (60)/(15) =4 `
`:.` Amount of sample left after 60 days
`= 2xx(1)/(2^(4))= 0.125 g `