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Luranium U-235 a une demi-vie approximative de 7x10^8annes. On sait aussi que son taux de dsintgration est proportionnel la quantit prsente. Lors dun accident nuclaire

Luranium U-235 a une demi-vie approximative de 7x10^8annes. On sait aussi que son taux de dsintgration est proportionnel la quantit prsente. Lors dun accident nuclaire 100 grammes on t relchs dans lair.

(a) Poser l'quation diffrentielle adapte la situation.

(b) En dduire la fonction donnant la quantitrestante de cette substance au temps t.

(c) Quelle est la quantitrestante aprs 2 millions dannes ? Quelle est la quantitrestante aprs 2 milliards dannes ?

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