Introduction

When a spherical drop of soap water is blown into a bubble, the bubble expands and its thickness increases. In this case, we are given the radius of the soap water drop and the outer radius of the resulting bubble. We need to find the thickness of the bubble.

Given:
Radius of soap water drop = 1/2 mm
Outer radius of bubble = 20 cm

Conversion of Units
To solve the problem, we need to convert the given measurements into a consistent unit system. In this case, it is convenient to convert the radius of the soap water drop from mm to cm.

Radius of soap water drop = 1/2 mm = 0.05 cm

Calculating the Thickness of the Bubble
The thickness of the bubble can be calculated by subtracting the radius of the soap water drop from the outer radius of the bubble.

Thickness of the bubble = Outer radius of bubble - Radius of soap water drop

Substituting the given values:

Thickness of the bubble = 20 cm - 0.05 cm

Simplifying the Calculation
To simplify the calculation, we can express the thickness of the bubble in a more appropriate unit, such as meters.

Thickness of the bubble = (20 cm - 0.05 cm) / 100

Simplifying further:

Thickness of the bubble = 19.95 cm / 100

Final Answer
The thickness of the bubble is approximately 0.1995 cm or 0.001995 m.

Explanation
To find the thickness of the bubble, we subtract the radius of the soap water drop from the outer radius of the bubble. This is because the bubble expands uniformly in all directions, resulting in an increase in both the inner and outer radii.

To ensure that the units are consistent, we convert the radius of the soap water drop from mm to cm. This allows us to subtract the quantities in the same unit.

Finally, we simplify the calculation by expressing the thickness of the bubble in meters. This provides a more meaningful representation of the thickness.

Visually Appealing Format

Introduction
- Explanation of the problem and the given values.

Conversion of Units
- Conversion of the radius of the soap water drop from mm to cm.

Calculating the Thickness of the Bubble
- Subtraction of the radius of the soap water drop from the outer radius of the bubble.

Simplifying the Calculation
- Conversion of the thickness of the bubble from cm to m.

Final Answer
- Conclusion stating the thickness of the bubble in cm and m.