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A radioactive element emits 200 particles per second. After three hours 25 particles per second are emitted. The half-life period of element will be

a
50 minutes
b
60 minutes
c
70 minutes
d
80 minutes

detailed solution

Correct option is B

R=dNdt∝N⇒R2R1=N2N1 But N2N1=12t/(t1/2)⇒25200=18=123⇒tt1/2=3 ∴t1/2=t3=33=1 hour=60 minutes

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