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A radioactive element reduces to 12.5% of its initial mass in 900 yr’s. Find the half-life period in years

a
400
b
500
c
300
d
200

detailed solution

Correct option is C

Activity, A=A02tT   here T=Half life ⇒12.5100A0=A02tT ⇒18=12tT ⇒123=12tT ⇒2 tT=23 ⇒tT=3 ⇒t=3T ⇒T12=t3=9003=300year's

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