A radioactive element reducess to `32st` of its initial value in 1000 years . What is half life of the element ?

Explanation

To find the half-life of a radioactive element that reduces to \( \frac{1}{32} \) of its initial value in 1000 years, we can follow these steps:

### Step 1: Understand the concept of half-life
The half-life of a radioactive substance is the time required for half of the substance to decay. After each half-life, the remaining amount of the substance is halved.

### Step 2: Determine how many half-lives it takes to reach \( \frac{1}{32} \)
We can express the remaining quantity after \( n \) half-lives mathematically:
- After 1 half-life: \( \frac{N_0}{2} \)
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