In how many years 1 g of pure radium will be reduced to 1 milligram? The half-life of radium is 1,500 years.

Explanation

To solve the problem of how many years it will take for 1 g of pure radium to reduce to 1 mg, given that the half-life of radium is 1500 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. For radium, the half-life is 1500 years.

### Step 2: Set up the initial and final mass
We start with an initial mass (M₀) of 1 g (which is 1000 mg) and want to find out how long it takes to reduce to a final mass (M) of 1 mg.

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