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Question

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

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

A

32 days

B

32 days

C

64 days

D

28 days

Answer

32 days

Explanation

Solution

A.P. = 25% = 14\frac { 1 } { 4 } = \ n = No. of half life = 2

\ t = nT1/2 ̃ T1/2 = tn\frac { \mathrm { t } } { \mathrm { n } } = 162\frac { 16 } { 2 } = 8 days