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  • The half life of a radioactive substance is T. The time taken, for disintegrating  th&

The half life of a radioactive substance is T. The time taken, for disintegrating \frac{7}{8} th  part of its original mass will be:

Option: 1

T


Option: 2

2T


Option: 3

3T


Option: 4

4T


Answers (1)

best_answer

If \frac{7}{8} th is disintegrated it means only \frac{1}{8} part is radioactive active no. of nuclears after ‘n’ half lives

\begin{aligned} & \Rightarrow \frac{N_0}{2^n}=\frac{N_0}{8} \\ & 2^n=8=n=3 \end{aligned}

So, the elapsed is 3 half lives = 3T

Posted by

Deependra Verma

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