Radium has a half-life of 1,660 years. calculate the number of years until only 1/16th of a sample remains.

years

Radium has a half-life of 1,660 years.The number of years until only 1/16th of a sample remains is 6641 years.

6641 years

Explanation:

Given that the half-life of Radium is 1660 years. The number of years to be calculated when the sample of radium could just be remained of 1/16th of its part, which can be calculated by the following means,

Half life,  

t is the taken time, then,

Taking ln on both sides, we get,

By substituting the given values,

Therefore, t = 6641 years

r=rho l/a where a is the area, l is the length and rho is resistivity so the greater the area the lesser the resistance thats why the earth pin is thicker bcos current follow the shortest path, so less resistive .