Obtain a relation between half life of a radioactive substance and decay constant `(lamda)` .

Explanation

To derive the relation between the half-life of a radioactive substance (t_half) and the decay constant (λ), we can follow these steps:

### Step-by-Step Solution:

1. **Definition of Half-Life**:
The half-life (t_half) is defined as the time required for half of the radioactive nuclei in a sample to decay.

2. **Exponential Decay Law**:
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