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(C) The initial total activity is $2000 	ext{ disintegrations/minute}$.After separation,the first fraction has an activity of $1000 	ext{ disintegra

Vedclass · Accepted Answer

$1250 	ext{ disintegrations/minute}$

Vedclass · Answer

(C) The initial total activity is $2000 	ext{ disintegrations/minute}$.After separation,the first fraction has an activity of $1000 	ext{ disintegrations/minute}$ which remains constant.The second fraction has an initial activity of $2000 - 1000 = 1000 	ext{ disintegrations/minute}$.Given $t_{1/2} = 24 \ h$,after $48 \ h$ (which is $2$ half-lives),the activity of the second fraction becomes $A = A_0 	imes (1/2)^n = 1000 	imes (1/2)^2 = 1000 / 4 = 250 	ext{ disintegrations/minute}$.The total activity after $48 \ h$ is $1000 + 250 = 1250 	ext{ disintegrations/minute}$.

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