A radio source has a half-life of 80 hours.How long will it take to decay to 1/6 of it's original amount?
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(a) Let the half-life be T years.
original amount of isotope is N
o
after decay, the remaining amount is N
now as per given values, N/N
o
=3.125%=1/32
also, N/N
o
=e
−λt
where λ is decay constant
also λ=0.693/T
so, t=3.4657/λ=5T years.
(b) Let the half-life be T years.
original amount of isotope is N
o
after decay, the remaining amount is N
now as per given values, N/N
o
=1%=1/100
also, N/N
o
=e
−λt
where λ is decay constant
also λ=0.693/T
so, t=4.6052/λ=6.645T years
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