Radium being a member of the uranium series occurs in uranium ores. If the half lives of uranium and radium are respectively `4.5 xx 10^(9)` and `1620` years calculate the `(N_("radiun"))/(N_("Uranium"))` in Uranium ore at equilibrium.

Explanation

To solve the problem of finding the ratio of the number of radium nuclei to the number of uranium nuclei in uranium ore at equilibrium, we will use the concepts of radioactive decay and the relationship between their decay constants.

### Step-by-Step Solution:

1. **Understand the Decay Constants**:
The decay constant (λ) is related to the half-life (T) by the formula:
\[
\lambda = \frac{\ln(2)}{T}
...