A soap bubble and a liquid drop both have same surface tension and radius, then which will have more exce pressure inside it?

Correct option is A

The correct answer is (A) Soap bubble

Explanation:

The excess pressure inside a bubble or a drop is given by the formula:

​$$ΔP= \frac{4T}{r}$$​​

Where:

• TT is the surface tension,

• rr is the radius of the bubble or drop.

For a soap bubble, the excess pressure is $$\frac{4T}{r}$$​, because a soap bubble has two surfaces (inside and outside), whereas a liquid drop has only one surface. Therefore, the excess pressure inside the soap bubble is higher.

Information Booster:

• A soap bubble has two surfaces (inner and outer), while a liquid drop has only one.

• The excess pressure for a soap bubble is , whereas for a liquid drop, it is$$\frac{2T}{r}$$​.

• For the same surface tension and radius, the soap bubble will have twice the excess pressure of the liquid drop.

• The formula $$ΔP= \frac{4T}{r}$$​ applies to a soap bubble with two interfaces.

• The excess pressure in a soap bubble is higher because it has more surface area.

• The excess pressure leads to a greater tendency for the soap bubble to collapse compared to the liquid drop.​