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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Some Mechanical Properties of Matter

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Some Mechanical Properties of Matter

Determine the excess pressure inside an air bubble of radius 4 mm...

Determine the excess pressure inside an air bubble of radius

4 \text{ mm}

formed within a tank of water. The surface tension of water is given as

0.076 \text{ N/m}

.

Options

A $19 \text{ N/m}^2$
B $152 \text{ N/m}^2$
C $76 \text{ N/m}^2$
D $38 \text{ N/m}^2$

Correct answer

D. $38 \text{ N/m}^2$

Step-by-step solution

The excess pressure inside an air bubble formed within a liquid is given by the formula:

\Delta P = \dfrac{2T}{R}

where

T

is the surface tension of the liquid and

R

is the radius of the bubble.

Given:

T = 0.076 \text{ N/m}

R = 4 \text{ mm} = 4 \times 10^{-3} \text{ m}

Substituting the values into the formula:

\Delta P = \dfrac{2 \times 0.076}{4 \times 10^{-3}}

\Delta P = \dfrac{0.152}{4 \times 10^{-3}}

\Delta P = 38 \text{ N/m}^2

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