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Half life of a radio active element is 1200 yrs. It m0 gm of radio active element existing now, m0/4 gm will remain radio active after

a
600 years
b
4800 years
c
2400 years
d
2800 years

detailed solution

Correct option is C

NN0=1(2)t/T⇒m0/4m0=1(2)t/T⇒1(2)2=1(2)t/T⇒t/T=2⇒t=2×1200 years = 2400 years

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