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← JEE Main 2022 · 27 Jul · Shift 1
PhysicsSingle correct+4 / -1Question 48 of 90

JEE Main 2022 · 27 Jul · Shift 1, Physics question 48

What is the half-life period of a radioactive material if its activity drops to 1/16th^{\text{th}} of its initial value in 30 years?

Choose one option
Answer and worked solution

Official answer: C

116=(12)4\frac1{16}=\left(\frac12\right)^4: four half lives in 30 years, so 7.5 years.

(C)