A cell develops the same power across two resistances `R_(1)` and `R_(2)` separately. The internal resistance of the cell is

Explanation

To find the internal resistance of the cell when the same power is developed across two resistances \( R_1 \) and \( R_2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Power in Terms of Resistance and Current**:
The power \( P \) developed across a resistance \( R \) connected to a cell with emf \( E \) and internal resistance \( r \) can be expressed as:
\[
P = I^2 R
...