Two elelctric bulbs P and Q have their resistance in the ratio of 1: 2. They are connected in series across a battery. Find the ratio of the power dissipation in these bulbs.

Explanation

To solve the problem of finding the ratio of power dissipation in two electric bulbs P and Q connected in series, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Resistance Ratio**:
Given that the resistances of bulbs P and Q are in the ratio of 1:2, we can denote the resistance of bulb P as \( R_1 \) and the resistance of bulb Q as \( R_2 \). Therefore, we can express this relationship mathematically as:
\[
\frac{R_1}{R_2} = \frac{1}{2}
...