The half-life of a radioactive substance is T. The 7 time taken for disintegrating part of its original mass will be [2023]

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Solution

Q.
The half-life of a radioactive substance is T. The 7 time taken for disintegrating $\frac{7}{8} th$ part of its original mass will be [2023]

1 3T

2 8T

3 T

4 2T

Ans.
(1)

$t_{1 / 2} = T$

$1 \underset{T}{\to} \frac{1}{2} \underset{T}{\to} \frac{1}{4} \underset{T}{\to} \frac{1}{8}$

$t_{7 / 8} = 3 T$

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