Question

An air bubble of radius 1 mm is located at a depth of 20 cm below the water level. The axis of pressure inside the bubble above that specific pressure is surface tension of the power is:

(a) 2T
(b) 4T
(c) 6T
(d) 8T

Answer 1

The axis of pressure inside the bubble above the specific pressure is 4π(0.001)^2 * Y, which corresponds to option (b) 4T.

Step-by-step explanation:

The pressure inside a bubble is given by the equation

P = AY,

where P is the pressure, A is the surface area, and Y is the surface tension. In this case, the radius of the bubble is 1 mm, which is equivalent to 0.001 m.

To find the surface area of the bubble, we can use the formula for the surface area of a sphere:

A = 4πr^2.

Substituting the radius into the formula, we have

A = 4π(0.001)^2.

The surface tension, Y, is multiplied by this surface area to calculate the force or pressure exerted by the bubble. Therefore, the axis of pressure inside the bubble above the specific pressure is 4π(0.001)^2 * Y, which corresponds to option (b) 4T.