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Question: Certain radio-active substance reduces to 25% of its value in 16 days. Its half-life is....

Certain radio-active substance reduces to 25% of its value in 16 days. Its half-life is.

A

32 days

B

8 days

C

64 days

D

28 days

Answer

28 days

Explanation

Solution

N=N0(12)tTN04=N0(12)16TT=8N = N_{0}\left( \frac{1}{2} \right)^{\frac{t}{T}} \Rightarrow \frac{N_{0}}{4} = N_{0}\left( \frac{1}{2} \right)^{\frac{16}{T}} \Rightarrow T = 8days.