The pressure within a bubble is higher than that outside by an amount

1.	The pressure within a bubble is higher than that outside by an amount proportional (A) directly to both the surface tension and the bubble size(B) directly to the surface tension and inversely to the bubble size (C) directly to the bubble size and inversely to the surface tension (D) inversely to both the surface tension and the bubble size.
Answer» Correct Option is (B) directly to the surface tension and inversely to the bubble size We know that, \(\Delta P = \frac{4T}{R} \) Where, T = surface tension R = Radius then, \(\Delta P \propto T \) \(\Delta P \propto \frac{1}{R} \) (B) directly to the surface tension and inversely to the bubble size

The pressure within a bubble is higher than that outside by an amount proportional (A) directly to both the surface tension and the bubble size(B) directly to the surface tension and inversely to the bubble size (C) directly to the bubble size and inversely to the surface tension (D) inversely to both the surface tension and the bubble size.

Answer»

Correct Option is (B) directly to the surface tension and inversely to the bubble size

We know that,

\(\Delta P = \frac{4T}{R} \)

Where, T = surface tension

R = Radius

then,

\(\Delta P \propto T \)

\(\Delta P \propto \frac{1}{R} \)

(B) directly to the surface tension and inversely to the bubble size