A 100 watt bulb working on 200 volt has resistance R and a 200 watt bulb working on 100 volt has resistance S.If the R/S is `8/x`. Find the value of x.

Explanation

To solve the problem, we need to find the resistances \( R \) and \( S \) of the two bulbs and then calculate the ratio \( \frac{R}{S} \) to determine the value of \( x \) in the equation \( \frac{R}{S} = \frac{8}{x} \).

### Step 1: Calculate the resistance \( R \) of the 100 W bulb operating at 200 V.

Using the formula for power:
\[ P = \frac{V^2}{R} \]
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