Plutonium, the fuel for atomic weapons, has a half-life of about 24,400 years. An atomic weapon is usually designed with a 1% mass margin, meaning it will remain functional as long as the original fuel has decayed by no more than 1%, leaving 99% of the original amount. Estimate how long a bomb would remain functional.
I used the equation y = Ca^t, with t = 24,400 and C is the original amount.
I get the decay factor, a = 0.99997 and t = 335 years. But, someone told me the actual answer is 6 years. That doesn't make sense to me because,
0.99997^335 = 0.99
But 0.9997^6 = 0.99982

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????? lol Questions about atomic weaponry idk if it would be legal for someone to anwser this lmao

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