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Question: In a radioactive substance at t = 0, the number of atoms is 8 × 10<sup>4</sup>. Its half life period...

In a radioactive substance at t = 0, the number of atoms is 8 × 104. Its half life period is 3 years. The number of atoms 1 × 104 will remain after interval-

A

9 years

B

8 years

C

6 years

D

24 years

Answer

9 years

Explanation

Solution

t = 0, N0 = 8 × 104

N = 1 × 104 ̃ t = ?

T1/2 = 3year

\ A.P = = 1×1048×104\frac { 1 \times 10 ^ { 4 } } { 8 \times 10 ^ { 4 } } = 18\frac { 1 } { 8 } = (\ n = 3)

\ t = n T1/2 ̃ t = 3 × 3 = 9 year